Zhu, Yu Existence of positive periodic solutions for Liénard equation with a singularity of repulsive type. (English) Zbl 07897011 Bound. Value Probl. 2024, Paper No. 85, 12 p. (2024). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 34C25 34B18 34B16 37C60 34B30 47H11 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Shi, Hongwei The maximum number of small-amplitude limit cycles in Liénard-type systems with cubic restoring terms. (English) Zbl 07871728 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 217, 18 p. (2024). MSC: 34C07 34B30 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
de Abreu, Tiago M. P.; Martins, Ricardo M. Estimates for the number of limit cycles in discontinuous generalized Liénard equations. (English) Zbl 07851495 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 187, 14 p. (2024). MSC: 34A36 34A30 34C29 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Hebai; Jia, Man; Tang, Yilei Topological classifications of a piecewise linear Liénard system with three zones. (English) Zbl 07845257 J. Differ. Equations 399, 1-47 (2024). Reviewer: Zhengdong Du (Chengdu) MSC: 34C07 34C05 34A36 34A30 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmed, Mogahid M. A.; Alqurashi, Bader; Kara, A. H. On first integrals, conservation laws and reduction of classes of Emden and Liénard equations. (English) Zbl 07822270 Afr. Mat. 35, No. 1, Paper No. 25, 9 p. (2024). MSC: 70H33 70S10 34A05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Boros, Balázs; Hofbauer, Josef Oscillations in planar deficiency-one mass-action systems. (English) Zbl 1543.34023 J. Dyn. Differ. Equations 36, No. 1, Suppl., S175-S197 (2024). Reviewer: Jinzhi Lei (Tianjin) MSC: 34C05 92C45 34D20 05C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Wei, Lijun; Zhang, Xiang; Zhu, Jinbo Limit cycles near a centre and a heteroclinic loop in a near-Hamiltonian differential system. (English) Zbl 07818465 J. Dyn. Differ. Equations 36, No. 1, 405-420 (2024). Reviewer: Jihua Yang (Guyuan) MSC: 34C07 34C05 34C23 37J40 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yuan; Zegeling, André; Huang, Wentao The application of Liénard transformations to predator-prey systems. (English) Zbl 1539.34030 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 91, 33 p. (2024). Reviewer: Lucyjane Silva (Goiânia) MSC: 34C05 34C07 34C20 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Boscaggin, A.; Dambrosio, W.; Papini, D. Infinitely many periodic solutions to a Lorentz force equation with singular electromagnetic potential. (English) Zbl 1537.34058 J. Differ. Equations 383, 190-213 (2024). Reviewer: Guglielmo Feltrin (Udine) MSC: 34C25 58E05 58E30 70H40 78A35 37C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Uda, Kenneth Random periodicity for stochastic Liénard equations. (English) Zbl 1528.60062 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107785, 16 p. (2024). MSC: 60H10 37H05 34F05 × Cite Format Result Cite Review PDF Full Text: DOI
Kundu, Prasanjit Kumar; Chatterjee, Shyamal Limit cycle oscillations in a mechanical system under fractional-order Liénard type nonlinear feedback. (English) Zbl 1531.70023 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107612, 21 p. (2024). MSC: 70K05 70K50 70Q05 70-05 93B52 × Cite Format Result Cite Review PDF Full Text: DOI
Zhuang, Yan; Wei, Yanan; Piao, Daxiong Persistence of periodic solutions of Liénard equations under impulses. (Chinese. English summary) Zbl 07801242 Acta Math. Appl. Sin. 46, No. 1, 45-56 (2023). MSC: 34C25 34B30 34A37 47H10 37C60 × Cite Format Result Cite Review PDF Full Text: Link
Shcherbak, Volodymyr F. Reconstruction of the Fourier expansion of a periodic force acting on an oscillator. (English. Ukrainian original) Zbl 1532.93136 J. Math. Sci., New York 274, No. 3, 383-391 (2023); translation from Ukr. Mat. Visn. 20, No. 2, 258-268 (2023). MSC: 93C15 93D05 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Bartos, Marcell; Habib, Giuseppe Hybrid vibration absorber for self-induced vibration suppression: exact analytical formulation for acceleration feedback control. (English) Zbl 07797115 Meccanica 58, No. 12, 2269-2289 (2023). MSC: 70J35 70J25 70Q05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Demina, Maria V. Integrability and solvability of polynomial Liénard differential systems. (English) Zbl 1543.34001 Stud. Appl. Math. 150, No. 3, 755-817 (2023). Reviewer: Huang Kaiyin (Chengdu) MSC: 34A05 34C45 34B30 34A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giné, Jaume; Llibre, Jaume Criteria for the nonexistence of periodic orbits in planar differential systems. (English) Zbl 1538.34119 Bul. Acad. Științe Repub. Mold., Mat. 2023, No. 1(101), 3-7 (2023). MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hebai; Chen, Xingwu; Jia, Man; Tang, Yilei A quintic \(\mathbb{Z}_2\)-equivariant Liénard system arising from the complex Ginzburg-Landau equation. (English) Zbl 1534.34046 SIAM J. Math. Anal. 55, No. 6, 5993-6038 (2023). Reviewer: Qinlong Wang (Guilin) MSC: 34C05 34C14 34C20 34C23 34C37 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
De Maesschalck, Peter; Huzak, Renato; Janssens, Ansfried; Radunović, Goran Minkowski dimension and slow-fast polynomial Liénard equations near infinity. (English) Zbl 1529.34057 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 154, 39 p. (2023). Reviewer: Mingji Zhang (Socorro) MSC: 34E15 34E17 34C40 28A80 28A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Xingchen; Song, Yongli; Lu, Shiping; Godoy, José On the positive periodic solutions of a class of Liénard equations with repulsive singularities in degenerate case. (English) Zbl 1526.34021 J. Differ. Equations 368, 1-25 (2023). Reviewer: Eduardo Muñoz-Hernández (Madrid) MSC: 34B18 34C25 47H11 37C60 34B16 × Cite Format Result Cite Review PDF Full Text: DOI
Sugie, Jitsuro Global-in-time existence of unbounded separatrices and blow-up time of solutions for Liénard systems whose restoring force is an odd power function. (English) Zbl 1520.34026 J. Differ. Equations 361, 219-247 (2023). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C11 34C37 34B30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Giné, Jaume Invariant algebraic curves for certain generalized Liénard differential system. (English) Zbl 1518.34055 Commun. Pure Appl. Anal. 22, No. 2, 480-487 (2023). Reviewer: Michael F. Singer (Raleigh) MSC: 34C45 34A05 34C05 34C14 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
Adéchinan, A. J.; Kpomahou, Y. J. F.; Hinvi, L. A.; Miwadinou, C. H. Chaos, coexisting attractors and chaos control in a nonlinear dissipative chemical oscillator. (English) Zbl 1540.34089 Chin. J. Phys., Taipei 77, 2684-2697 (2022). MSC: 34C60 92E20 37C60 34C37 34C28 34C23 34D45 37D45 34H10 × Cite Format Result Cite Review PDF Full Text: DOI
Giné, Jaume; Llibre, Jaume A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves. (English) Zbl 1505.34046 Chaos Solitons Fractals 158, Article ID 112075, 4 p. (2022). MSC: 34C05 34A05 34A34 34C45 34C07 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Wu, Yusen; Yan, Jinling; Zhang, Cui; Li, Feng Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system. (English) Zbl 1504.34077 Chaos Solitons Fractals 160, Article ID 112197, 6 p. (2022). MSC: 34C05 34C07 34C23 34C20 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Ginoux, Jean-Marc; Lebiedz, Dirk; Meucci, Riccardo; Llibre, Jaume Flow curvature manifold and energy of generalized Liénard systems. (English) Zbl 1504.34144 Chaos Solitons Fractals 161, Article ID 112354, 7 p. (2022). MSC: 34E15 37C75 34C45 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Filipuk, Galina Regularising transformations for the \((n,n+1)\)-Liénard equations. (English) Zbl 1510.34189 Lett. Math. Phys. 112, No. 6, Paper No. 110, 8 p. (2022). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34M35 34B30 34M55 34M04 34M25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ghose-Choudhury, A.; Guha, Partha Isochronicity conditions and Lagrangian formulations of the Hirota type oscillator equations. (English) Zbl 1510.34064 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 144, 12 p. (2022). Reviewer: Alexander Prokopenya (Warszawa) MSC: 34C15 34C05 70H03 34A05 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Shaowen; Li, Wenjie; Cheng, Zhibo Nondegeneracy and uniqueness of periodic solution for a Liénard equation. (English) Zbl 1507.34045 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 138, 14 p. (2022). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jinrong; Wang, Ben; Miao, Yongwei; Yu, Xingchen Existence and multiplicity of positive periodic solutions to a class of Liénard equations with repulsive singularities. (English) Zbl 1509.34040 J. Fixed Point Theory Appl. 24, No. 3, Paper No. 64, 13 p. (2022). Reviewer: Jinzhi Lei (Tianjin) MSC: 34C25 34B16 34B18 37C60 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Carletti, Timoteo; Villari, Gabriele; Zanolin, Fabio Existence of harmonic solutions for some generalisation of the non-autonomous Liénard equations. (English) Zbl 1506.34058 Monatsh. Math. 199, No. 2, 243-257 (2022). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 37C60 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Bo; Wang, Ye; Gómez-Aguilar, J. F.; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Jahanshahi, Hadi; Alassafi, Madini O.; Alsaadi, Fawaz E. Gudermannian neural networks to investigate the Liénard differential model. (English) Zbl 07537366 Fractals 30, No. 3, Article ID 2250050, 17 p. (2022). MSC: 65-XX 93Cxx 65Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Valls, Claudia Global centers of the generalized polynomial Liénard differential systems. (English) Zbl 1501.34031 J. Differ. Equations 330, 66-80 (2022). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C25 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Demina, Maria V. The method of Puiseux series and invariant algebraic curves. (English) Zbl 1498.34053 Commun. Contemp. Math. 24, No. 3, Article ID 2150007, 19 p. (2022). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34A25 34C45 34A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Villari, Gabriele; Zanolin, Fabio On the qualitative behavior of a class of generalized Liénard planar systems. (English) Zbl 1508.34029 J. Dyn. Differ. Equations 34, No. 1, 179-207 (2022). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34B30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Demina, Maria V.; Giné, Jaume; Valls, Claudia Puiseux integrability of differential equations. (English) Zbl 1527.34006 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 35, 35 p. (2022). MSC: 34A05 34A25 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Giné, Jaume; Valls, Claudia Integrability conditions of a weak saddle in a complex polynomial differential system. (English) Zbl 1495.34001 J. Dyn. Control Syst. 28, No. 1, 91-108 (2022). Reviewer: Huang Kaiyin (Singapur) MSC: 34A05 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Sinelshchikov, Dmitry I. Nonlocal deformations of autonomous invariant curves for Liénard equations with quadratic damping. (English) Zbl 1505.34060 Chaos Solitons Fractals 152, Article ID 111412, 5 p. (2021). Reviewer: Hao Wu (Nanjing) MSC: 34C20 34C45 34A05 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Benadouane, S.; Berbache, A.; Bendjeddou, A. Upper bounds for the number of limit cycles for a class of polynomial differential systems via the averaging method. (English) Zbl 1491.34048 Bul. Acad. Științe Repub. Mold., Mat. 2021, No. 3(97), 72-87 (2021). MSC: 34C07 34C23 37G15 × Cite Format Result Cite Review PDF Full Text: Link
Villari, Gabriele; Zanolin, Fabio Remarks on a class of generalized Liénard planar systems. (English) Zbl 1506.34048 Rend. Ist. Mat. Univ. Trieste 53, Paper No. 16, 24 p. (2021). Reviewer: Maite Grau (Lleida) MSC: 34C05 34C25 34C07 34C23 34C29 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tao; Llibre, Jaume Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary. (English) Zbl 1493.34096 Physica D 419, Article ID 132855, 13 p. (2021). Reviewer: Xingwu Chen (Chengdu) MSC: 34C05 34C07 34C29 34A36 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhu, Hongying; Wei, Minzhi; Yang, Sumin; Jiang, Caoqing Bifurcation of limit cycles from a Liénard system of degree 4. (Chinese. English summary) Zbl 1488.34245 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 4, 936-953 (2021). MSC: 34C23 34C05 34C07 34C08 34A34 × Cite Format Result Cite Review PDF
Demina, Maria Necessary and sufficient conditions for the existence of invariant algebraic curves. (English) Zbl 1488.34259 Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 48, 22 p. (2021). MSC: 34C45 34A25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Gasull, Armengol; Giacomini, Hector Effectiveness of the Bendixson-Dulac theorem. (English) Zbl 1490.34031 J. Differ. Equations 305, 347-367 (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Lijun; Zhang, Qingjing; Zhang, Xiang On limit cycles near two centres and a double homoclinic loop in Liénard differential system. (English) Zbl 1482.34098 J. Differ. Equations 300, 226-251 (2021). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C29 37M20 37J40 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Feltrin, Guglielmo; Zanolin, Fabio Bound sets for a class of \(\varphi \)-Laplacian operators. (English) Zbl 1483.34041 J. Differ. Equations 297, 508-535 (2021). Reviewer: Alessandro Fonda (Trieste) MSC: 34B15 34C25 47H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qian, Xinjie; Shen, Yang; Yang, Jiazhong Invariant algebraic curves and hyperelliptic limit cycles of Liénard systems. (English) Zbl 1478.34041 Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 44, 14 p. (2021). Reviewer: Weinian Zhang (Chengdu) MSC: 34C07 34C05 34C45 × Cite Format Result Cite Review PDF Full Text: DOI
Kasbi, Tohid; Roomi, Vahid; Jodayree Akbarfam, Aliasghar Existence of homoclinic orbit in generalized Liénard type system. (English) Zbl 1474.34283 Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 34, 13 p. (2021). MSC: 34C37 34A34 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Yang, Junmin; Yu, Pei; Han, Maoan On the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order \(\hat{m} \). (English) Zbl 1471.37055 J. Differ. Equations 291, 27-56 (2021). MSC: 37J20 37G15 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xianbo; Chen, Zhanbo; Yu, Pei Parameter identification on abelian integrals to achieve Chebyshev property. (English) Zbl 1484.34094 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5661-5679 (2021). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 34C23 34C37 37J40 34E10 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Demina, Maria V.; Sinelshchikov, Dmitry I. Darboux first integrals and linearizability of quadratic-quintic Duffing-van der Pol oscillators. (English) Zbl 1471.34006 J. Geom. Phys. 165, Article ID 104215, 12 p. (2021). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34A05 34C15 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Hayashi, Makoto An improved criterion for the unique existence of the limit cycle of a Liénard-type system with one parameter. (English) Zbl 1472.34061 Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 25, 9 p. (2021). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Amel’kin, V. V. Positive solution of one conjecture in the theory of polynomial isochronous centers of Liénard systems. (English. Russian original) Zbl 1477.34053 Differ. Equ. 57, No. 2, 133-138 (2021); translation from Differ. Uravn. 57, No. 2, 147-152 (2021). Reviewer: Alexander Rudenok (Minsk) MSC: 34C05 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Yifan; Niu, Wei; Huang, Bo Bounding the number of limit cycles for parametric Liénard systems using symbolic computation methods. (English) Zbl 1462.37018 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105716, 17 p. (2021). MSC: 37C10 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hebai; Zhu, Huaiping Global bifurcation studies of a cubic Liénard system. (English) Zbl 1464.34061 J. Math. Anal. Appl. 496, No. 2, Article ID 124810, 24 p. (2021). Reviewer: Chunrui Zhang (Harbin) MSC: 34C23 34A34 34L05 × Cite Format Result Cite Review PDF Full Text: DOI
Gouveia, Márcio R. A.; Llibre, Jaume; Roberto, Luci Any Phase portraits of the quadratic polynomial Liénard differential systems. (English) Zbl 1466.37019 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 202-216 (2021). Reviewer: Alexander Grin (Grodno) MSC: 37C15 37C29 37G05 34C05 34C07 37G15 70K05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Demina, Maria V. Liouvillian integrability of the generalized Duffing oscillators. (English) Zbl 1462.34007 Anal. Math. Phys. 11, No. 1, Paper No. 25, 18 p. (2021). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34A05 34A34 34C05 34C15 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Demina, Maria V. Integrability and Jacobi last multipliers of cubic Liénard differential equations with quadratic damping. (English) Zbl 1492.37060 Discontin. Nonlinearity Complex. 9, No. 4, 499-507 (2020). MSC: 37J35 37J30 × Cite Format Result Cite Review PDF Full Text: DOI
Xin, Yun; Hu, Guixin Weak and strong singularities problems to Liénard equation. (English) Zbl 1496.34047 Bound. Value Probl. 2020, Paper No. 143, 12 p. (2020). MSC: 34B16 34B30 34C25 37C60 47N20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Xin, Yun; Cheng, Zhibo Positive periodic solution for prescribed mean curvature generalized Liénard equation with a singularity. (English) Zbl 1495.34064 Bound. Value Probl. 2020, Paper No. 89, 14 p. (2020). MSC: 34C25 34B16 37C60 34A09 34B30 47N20 34B18 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Njougouo, Thierry; Simo, Gaël R.; Louodop, Patrick; Fotsin, Hilaire; Talla, Pierre K. Effects of intermittent coupling on synchronization. (English) Zbl 1490.34055 Chaos Solitons Fractals 139, Article ID 110082, 8 p. (2020). MSC: 34D06 37D45 34C15 93D15 34H05 × Cite Format Result Cite Review PDF Full Text: DOI
Gasimov, Yusif S.; Guseynov, Sharif E.; Valdés, Juan E. Nápoles On some properties of limit cycles of the Biryukov equation. (English) Zbl 1461.34022 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 46, No. 2, 321-345 (2020). MSC: 34A34 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Guohua; Chen, Lijuan A necessary and sufficient condition for the existence of positive periodic solutions to Liénard equations. (Chinese. English summary) Zbl 1474.34266 J. Yangzhou Univ., Nat. Sci. Ed. 23, No. 2, 1-4 (2020). MSC: 34C25 34A34 47N20 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Guha, P.; Garai, S.; Choudhury, A. G. Lax pairs and first integrals for autonomous and non-autonomous differential equations belonging to the Painlevé-Gambier list. (English) Zbl 1464.34007 Russ. J. Nonlinear Dyn. 16, No. 4, 637-650 (2020). MSC: 34A05 34A34 37C60 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Demina, Maria V.; Valls, Claudia On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations. (English) Zbl 1465.34038 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 6, 3231-3251 (2020). Reviewer: Joan Torregrosa (Barcelona) MSC: 34C05 34C07 34C08 34C45 34A05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Ignatiev, A. O. On the Lyapunov type inequality. (English. Russian original) Zbl 1462.34031 Russ. Math. 64, No. 6, 16-23 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 21-29 (2020). Reviewer: Alessandro Fonda (Trieste) MSC: 34A30 34C10 × Cite Format Result Cite Review PDF Full Text: DOI
He, Dongping; Huang, Wentao; Sun, Shanlin Center conditions and bifurcation of limit cycles for two classes of BiLiénard systems. (English) Zbl 1463.34139 J. Nat. Sci. Heilongjiang Univ. 37, No. 2, 173-180 (2020). MSC: 34C07 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Zhiheng; Liu, Lingling Bifurcations of critical periods for a class of quintic Liénard equation. (English) Zbl 1465.34055 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 14, Article ID 2050201, 11 p. (2020). Reviewer: Tao Li (Chengdu) MSC: 34C23 34C05 34A34 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tao; Chen, Hebai; Chen, Xingwu Crossing periodic orbits of nonsmooth Liénard systems and applications. (English) Zbl 1462.34038 Nonlinearity 33, No. 11, 5817-5838 (2020). Reviewer: Iliya Iliev (Sofia) MSC: 34A36 34A34 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sabatini, Marco Measure-preserving symmetries and reversibilities of ordinary differential systems. (English) Zbl 1456.37031 Bull. Sci. Math. 164, Article ID 102906, 19 p. (2020). Reviewer: Valentine Tyshchenko (Grodno) MSC: 37C79 37C10 34C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saha, Sandip; Gangopadhyay, Gautam; Shankar Ray, Deb Systematic designing of bi-rhythmic and tri-rhythmic models in families of Van der Pol and Rayleigh oscillators. (English) Zbl 1457.34029 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105234, 11 p. (2020). Reviewer: Alexander Grin (Grodno) MSC: 34A34 34C15 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Weijiao; Han, Maoan Hopf bifurcation of limit cycles in some piecewise smooth Liénard systems. (English) Zbl 1452.37057 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2050249, 15 p. (2020). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 37G15 37C10 34C23 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Aktas, Mustafa Periodic solutions of relativistic Liénard-type equations. (English) Zbl 1463.34130 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 38, 12 p. (2020). MSC: 34C05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Giné, Jaume; Valls, Claudia Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems. (English) Zbl 1441.34002 J. Nonlinear Math. Phys. 27, No. 4, 664-678 (2020). MSC: 34A05 34C05 34C10 × Cite Format Result Cite Review PDF Full Text: DOI
Chandrasekar, V. K.; Tiwari, A. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M. Response to “Comment on ‘Classification of Lie point symmetries for quadratic Liénard type equation \(\ddot x + f(x)\dot x^2 + g(x) = 0\)”’. (English) Zbl 1447.34038 J. Math. Phys. 61, No. 4, 044102, 3 p. (2020). MSC: 34C14 34A34 34C20 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Iacono, Roberto Comment on “Classification of Lie point symmetries for quadratic Liénard type equation \(\ddot x + f(x) \dot x^2 + g(x) = 0\)”. (English) Zbl 1447.34039 J. Math. Phys. 61, No. 4, 044101, 3 p. (2020). MSC: 34C14 34A34 34C20 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Valls, Claudia Integrable weak saddles for trigonometric Liénard systems. (English) Zbl 1446.34003 J. Dyn. Control Syst. 26, No. 3, 551-556 (2020). MSC: 34A05 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Rudenok, A. E. Rational Liénard systems with a center and an isochronous center. (English. Russian original) Zbl 1446.34054 Differ. Equ. 56, No. 1, 68-82 (2020); translation from Differ. Uravn. 56, No. 1, 70-83 (2020). Reviewer: Cemil Tunç (Van) MSC: 34C05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Giné, Jaume A note on: “The generalized Liénard polynomial differential systems \(x' = y\), \(y' =-g(x) - f(x)y\), with \(\deg g =\deg f + 1\), are not Liouvillian integrable”. (English) Zbl 1448.34002 Bull. Sci. Math. 161, Article ID 102857, 2 p. (2020). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A05 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Murza, Adrian C.; Valls, Claudia On a conjecture on the integrability of Liénard systems. (English) Zbl 1483.34008 Rend. Circ. Mat. Palermo (2) 69, No. 1, 209-216 (2020). Reviewer: Valery Romanovski (Maribor) MSC: 34A05 34C05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI Link
Giné, Jaume; Valls, Claudia Small-amplitude limit cycles of certain planar differential systems. (English) Zbl 1447.34031 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 53, 7 p. (2020). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 34C23 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Carletti, Timoteo; Villari, Gabriele Existence of limit cycles for some generalisation of the Liénard equations: the relativistic and the prescribed curvature cases. (English) Zbl 1449.34104 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 2, 15 p. (2020). MSC: 34C05 34C07 34A34 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Qian, Xinjie; Yang, Jiazhong On the number of hyperelliptic limit cycles of Liénard systems. (English) Zbl 1453.34045 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 43, 30 p. (2020). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Maoan; Yang, Junmin The dynamics of a kind of Liénard system with sixth degree and its limit cycle bifurcations under perturbations. (English) Zbl 1447.34032 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 26, 20 p. (2020). Reviewer: Changjin Xu (Guiyang) MSC: 34C05 34C23 34E10 34A34 37J40 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Figula, Ágota; Horváth, Gábor; Milkovszki, Tamás; Muzsnay, Zoltán The Lie symmetry group of the general Liénard-type equation. (English) Zbl 1436.34030 J. Nonlinear Math. Phys. 27, No. 2, 185-198 (2020). MSC: 34C14 34A26 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Hu, Min; Li, Tao; Chen, Xingwu Bi-center problem and Hopf cyclicity of a cubic Liénard system. (English) Zbl 1439.34036 Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 401-414 (2020). Reviewer: Eduard Musafirov (Grodno) MSC: 34C05 34C07 34C23 37G10 34E10 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Khurshudyan, Asatur Zh. An identity for the Heaviside function and its application in representation of nonlinear Green’s function. (English) Zbl 1438.46049 Comput. Appl. Math. 39, No. 1, Paper No. 32, 12 p. (2020). MSC: 46F30 46F10 46T30 34A05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Rodríguez-Contreras, Jorge; Acosta-Humánez, Primitivo B.; Reyes-Linero, Alberto Algebraic and qualitative remarks about the family \(yy' = (\alpha x^{m+k-1} + \beta x^{m-k-1})y + \gamma x^{2m-2k-1}\). (English) Zbl 1513.34067 Open Math. 17, 1220-1238 (2019). MSC: 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Bendjeddou, Ahmed; Berbache, Aziza; Kina, Abdelkrim Limit cycles for a class of polynomial differential systems via averaging theory. (English) Zbl 1532.34047 J. Sib. Fed. Univ., Math. Phys. 12, No. 2, 145-159 (2019). MSC: 34C07 34C05 34C23 34C29 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Li, Shimin; Llibre, Jaume Phase portraits of continuous piecewise linear Liénard differential systems with three zones. (English) Zbl 1448.34070 Chaos Solitons Fractals 120, 149-157 (2019). MSC: 34C07 34A36 37G05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mak, Man Kwong; Harko, Tiberiu On the integrability of the Abel and of the extended Liénard equations. (English) Zbl 1450.34007 Acta Math. Appl. Sin., Engl. Ser. 35, No. 4, 722-736 (2019). MSC: 34A05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Esteban, Marina; Ponce, Enrique; Torres, Francisco Periodic orbits in hysteretic systems with real eigenvalues. (English) Zbl 1430.37053 Nonlinear Dyn. 97, No. 4, 2557-2578 (2019). MSC: 37G10 37C27 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Xiaoxiao; Cheng, Zhibo; Yao, Shaowen The existence of positive periodic solutions for a kind of generalized Liénard equation. (Chinese. English summary) Zbl 1449.34118 Math. Appl. 32, No. 3, 699-708 (2019). MSC: 34C25 34D05 34D20 34A34 47N20 × Cite Format Result Cite Review PDF
Zhang, Daoxiang; Yan, Ping On the uniqueness of limit cycles in a generalized Liénard system. (English) Zbl 1478.34039 Qual. Theory Dyn. Syst. 18, No. 3, 1191-1199 (2019). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 37C27 34A34 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Papini, Duccio; Villari, Gabriele; Zanolin, Fabio Chaotic dynamics in a periodically perturbed Liénard system. (English) Zbl 1463.34163 Differ. Integral Equ. 32, No. 11-12, 595-614 (2019). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C28 34C25 37C60 34E10 47N20 × Cite Format Result Cite Review PDF
Valls, Claudia Liouvillian integrability of some quadratic Liénard polynomial differential systems. (English) Zbl 1435.34008 Rend. Circ. Mat. Palermo (2) 68, No. 3, 499-519 (2019). Reviewer: Gheorghe Tigan (Timisoara) MSC: 34A05 34A34 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Gasull, Armengol; Sabatini, Marco Fixed and moving limit cycles for Liénard equations. (English) Zbl 1453.34039 Ann. Mat. Pura Appl. (4) 198, No. 6, 1985-2006 (2019). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34C23 34C25 37C27 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Shiping; Xue, Runyu Periodic solutions for a singular Liénard equation with indefinite weight. (English) Zbl 1472.34080 Topol. Methods Nonlinear Anal. 54, No. 1, 203-218 (2019). Reviewer: Chun Li (Chongqing) MSC: 34C25 34B16 34B18 70K40 47N20 37C60 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ait Dads, E.; Cieutat, P.; Lhachimi, L. Structure of the set of bounded solutions and existence of pseudo almost periodic solutions of a vector Liénard differential equation. (English) Zbl 1447.34036 Nonauton. Dyn. Syst. 6, 35-56 (2019). Reviewer: David Cheban (Chisinau) MSC: 34C11 34C27 43A60 34A34 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Xin, Yun; Cheng, Zhibo Positive periodic solution to indefinite singular Liénard equation. (English) Zbl 1436.34040 Positivity 23, No. 4, 779-787 (2019). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 34A34 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Ponce, Enrique; Valls, Clàudia Two limit cycles in Liénard piecewise linear differential systems. (English) Zbl 1481.34040 J. Nonlinear Sci. 29, No. 4, 1499-1522 (2019). Reviewer: Jinzhi Lei (Tianjin) MSC: 34C05 34A34 34C23 × Cite Format Result Cite Review PDF Full Text: DOI Link