Yang, Xue; Xing, Jiamin; Li, Yong A general averaging method for affine periodic solutions. (English) Zbl 07930611 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 6, 2207-2224 (2024). MSC: 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Bo; Yap, Chee An algorithmic approach to small limit cycles of nonlinear differential systems: the averaging method revisited. (English) Zbl 1505.34066 J. Symb. Comput. 115, 492-517 (2023). MSC: 34C29 34C07 34C23 68W30 34C05 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Shuang; Duan, Jinqiao Instability of small-amplitude periodic waves from fold-Hopf bifurcation. (English) Zbl 1508.37101 J. Math. Phys. 63, No. 11, Article ID 112702, 18 p. (2022). MSC: 37L15 37L10 35K57 35C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novaes, Douglas D. On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set. (English) Zbl 1507.34037 Physica D 441, Article ID 133523, 15 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34C07 34A36 34C23 34E10 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cândido, Murilo R.; Valls, Claudia Zero-Hopf bifurcation in the general Van der Pol-Duffing equation. (English) Zbl 1508.34041 J. Geom. Phys. 179, Article ID 104609, 18 p. (2022). Reviewer: Alois Steindl (Wien) MSC: 34C23 34C05 34C45 34C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xingwu; Li, Tao; Llibre, Jaume Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications. (English) Zbl 1495.34026 J. Differ. Equations 314, 340-369 (2022). Reviewer: Dingheng Pi (Quanzhou) MSC: 34A36 34C07 34C05 34C23 34C29 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Chillingworth, David; Forest, M. Gregory; Lauterbach, Reiner; Wulff, Claudia Existence and stability of kayaking orbits for nematic liquid crystals in simple shear flow. (English) Zbl 1490.34052 Arch. Ration. Mech. Anal. 242, No. 2, 1229-1287 (2021). Reviewer: Lutz Recke (Berlin) MSC: 34C60 34C14 34C23 34C25 34D20 76A15 82D30 37C81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Qu, Jingjia; Yang, Shuangling Rational integrability of the Maxwell-Bloch system. (English) Zbl 1480.34002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150191, 14 p. (2021). MSC: 34A05 34C60 78A60 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Braun, Francisco; Mereu, Ana C. Zero-Hopf bifurcation in a 3D jerk system. (English) Zbl 1472.34070 Nonlinear Anal., Real World Appl. 59, Article ID 103245, 8 p. (2021). Reviewer: Eduard Musafirov (Grodno) MSC: 34C23 34A34 34C07 34C05 34C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novaes, Douglas D.; Silva, Francisco B. Higher order analysis on the existence of periodic solutions in continuous differential equations via degree theory. (English) Zbl 1469.34058 SIAM J. Math. Anal. 53, No. 2, 2476-2490 (2021). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 34C29 47H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
da S. Andrade, Kamila; Cespedes, Oscar A. R.; Cruz, Dayane R.; Novaes, Douglas D. Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve. (English) Zbl 1466.34023 J. Differ. Equations 287, 1-36 (2021). MSC: 34A36 34C07 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Llibre, Jaume; Novaes, Douglas D.; Rodrigues, Camila A. B. Bifurcations from families of periodic solutions in piecewise differential systems. (English) Zbl 1500.34031 Physica D 404, Article ID 132342, 12 p. (2020). MSC: 34C25 37C60 34C45 34C29 34C23 34E10 34A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ji, Chunyan; Xue, Yang; Li, Yong Periodic solutions for SDEs through upper and lower solutions. (English) Zbl 1468.60072 Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4737-4754 (2020). MSC: 60H10 34C27 37B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novaes, Douglas D.; Seara, Tere M.; Teixeira, Marco A.; Zeli, Iris O. Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a twofold cycle. (English) Zbl 1459.34059 SIAM J. Appl. Dyn. Syst. 19, No. 2, 1343-1371 (2020). Reviewer: Vladimir Răsvan (Craiova) MSC: 34A36 34C23 34C25 34E10 34C05 37C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cândido, Murilo R.; Novaes, Douglas D.; Valls, Claudia Periodic solutions and invariant torus in the Rössler system. (English) Zbl 1472.34058 Nonlinearity 33, No. 9, 4512-4539 (2020). Reviewer: Alberto Boscaggin (Collegno) MSC: 34C05 34C23 34C45 34C29 34D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei First integrals of the Maxwell-Bloch system. (English. French summary) Zbl 1452.34022 C. R., Math., Acad. Sci. Paris 358, No. 1, 3-11 (2020). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A34 34A05 78A60 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Llibre, Jaume; Novaes, Douglas D.; Zeli, Iris O. Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems. (English) Zbl 1441.34029 Rev. Mat. Iberoam. 36, No. 1, 291-318 (2020). Reviewer: Jihua Yang (Guyuan) MSC: 34A36 34C05 34C29 34C23 34E10 37C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cândido, M. R.; Llibre, J.; Valls, C. New symmetric periodic solutions for the Maxwell-Bloch differential system. (English) Zbl 1460.34052 Math. Phys. Anal. Geom. 22, No. 2, Paper No. 16, 13 p. (2019). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 78A60 34C05 34C23 34C29 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cândido, Murilo R.; Llibre, Jaume Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria. (English) Zbl 1540.34082 Math. Comput. Simul. 151, 54-76 (2018). MSC: 34C23 34C28 34C29 37G15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Messias, Marcelo; Reinol, Alisson C. On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé-Hoover oscillator. (English) Zbl 1398.70048 Nonlinear Dyn. 92, No. 3, 1287-1297 (2018). MSC: 70K65 70K42 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Cândido, Murilo R.; Llibre, Jaume Periodic orbits bifurcating from a nonisolated zero-Hopf equilibrium of three-dimensional differential systems revisited. (English) Zbl 1392.34040 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1850058, 11 p. (2018). MSC: 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Cândido, Murilo R.; Llibre, Jaume Stability of periodic orbits in the averaging theory: applications to Lorenz and Thomas differential systems. (English) Zbl 1388.34040 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1830007, 14 p. (2018). MSC: 34C29 34D20 34C25 34C05 × Cite Format Result Cite Review PDF Full Text: DOI