Ma, Zhichao; Xu, Junxiang A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property. (English) Zbl 1533.37125 Proc. Am. Math. Soc. 151, No. 10, 4191-4197 (2023). Reviewer: Tudor Bînzar (Timişoara) MSC: 37J40 37E40 37E45 37J35 37J11 37J46 70K43 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Muni, Sishu Shankar; Fatoyinbo, Hammed Olawale; Ghosh, Indranil Dynamical effects of electromagnetic flux on Chialvo neuron map: nodal and network behaviors. (English) Zbl 1497.92041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 9, Article ID 2230020, 26 p. (2022). MSC: 92C20 92C05 78A70 37G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhusubaliyev, Zhanybai T.; Avrutin, Viktor; Medvedev, Alexander Doubling of a closed invariant curve in an impulsive Goodwin’s oscillator with delay. (English) Zbl 1498.34189 Chaos Solitons Fractals 153, Part 1, Article ID 111571, 9 p. (2021). MSC: 34K18 37G35 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhusubaliyev, Zhanybai T.; Avrutin, Viktor; Bastian, Frank Transformations of closed invariant curves and closed-invariant-curve-like chaotic attractors in piecewise smooth systems. (English) Zbl 1467.37051 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2130009, 15 p. (2021). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G35 37M22 37M20 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Ichinose, Natsuhiro Quasiperiodic-chaotic neural networks and short-term analog memory. (English) Zbl 1462.37101 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 1, Article ID 2130003, 18 p. (2021). MSC: 37N25 37D45 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Belyaev, Aleksandr Vladimirovich; Perevalova, Tat’yana Vladimirovna Stochastic sensitivity of quasiperiodic and chaotic attractors of the discrete Lotka-Volterra model. (Russian. English summary) Zbl 1458.37092 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 19-32 (2020). MSC: 37N25 92D25 34D45 34F05 × Cite Format Result Cite Review PDF Full Text: DOI MNR Link
Gharout, Hacene; Akroune, Nourredine; Taha, Abelkadous; Prunaret, Daniele-Fournier Chaotic dynamics of a three-dimensional endomorphism. (English) Zbl 1532.37037 J. Sib. Fed. Univ., Math. Phys. 12, No. 1, 36-50 (2019). MSC: 37D45 37E99 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping On the dynamics of multi-species Ricker models admitting a carrying simplex. (English) Zbl 1429.37010 J. Difference Equ. Appl. 25, No. 11, 1489-1530 (2019). MSC: 37C05 37C29 37C15 37G10 37G15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gritsans, Armands On a one-parameter discrete-time \(Z_4\)-equivariant cubic dynamical system. (English) Zbl 1411.37027 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 4, Article ID 1950052, 15 p. (2019). MSC: 37C80 39A12 37D45 37C25 37D10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Wei; Li, Xianyi Neimark-Sacker bifurcation of a semi-discrete hematopoiesis model. (English) Zbl 1457.37109 J. Appl. Anal. Comput. 8, No. 6, 1679-1693 (2018). MSC: 37N25 39A28 92C17 92B05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Zhang, Yingying; Zhou, Yicang The existence research of three invariant closed curves for discrete dynamical models. (Chinese. English summary) Zbl 1424.39037 Math. Pract. Theory 48, No. 1, 245-254 (2018). MSC: 39A28 37G10 37G15 × Cite Format Result Cite Review PDF
Zhang, Limin; Zou, Lan Bifurcations and control in a discrete predator-prey model with strong Allee effects. (English) Zbl 1390.39060 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1850062, 29 p. (2018). MSC: 39A60 92D25 39A28 93C55 × Cite Format Result Cite Review PDF Full Text: DOI
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex. (English) Zbl 1381.37030 Discrete Contin. Dyn. Syst. 38, No. 2, 615-650 (2018). Reviewer: Carlo Laing (Auckland) MSC: 37C29 37C75 37N25 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yingying; Zhou, Yicang The existence research of two invariant closed curves for discrete dynamical models. (Chinese. English summary) Zbl 1399.39024 Math. Pract. Theory 47, No. 24, 199-207 (2017). MSC: 39A28 39A30 × Cite Format Result Cite Review PDF
Kamiyama, Kyohei; Komuro, Motomasa; Aihara, Kazuyuki Homoclinic cycle bifurcations in planar maps. (English) Zbl 1360.37128 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 3, Article ID 1730012, 11 p. (2017). MSC: 37G20 37E30 37D45 37G25 × Cite Format Result Cite Review PDF Full Text: DOI
Komuro, Motomasa; Kamiyama, Kyohei; Endo, Tetsuro; Aihara, Kazuyuki Quasi-periodic bifurcations of higher-dimensional tori. (English) Zbl 1343.34094 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 7, Article ID 1630016, 40 p. (2016). MSC: 34C23 34C45 34C46 37G15 37E99 × Cite Format Result Cite Review PDF Full Text: DOI
Niu, Lei; Jiang, Jifa On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points. (English) Zbl 1366.37049 Discrete Contin. Dyn. Syst. 36, No. 1, 217-244 (2016). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C25 37G15 34D30 34D45 37C29 92D40 × Cite Format Result Cite Review PDF Full Text: DOI
Kamiyama, Kyohei; Komuro, Motomasa; Endo, Tetsuro; Aihara, Kazuyuki Classification of bifurcations of quasi-periodic solutions using Lyapunov bundles. (English) Zbl 1305.37025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 12, Article ID 1430034, 30 p. (2014). MSC: 37G35 34C23 34C45 34D08 37D25 × Cite Format Result Cite Review PDF Full Text: DOI
Jana, Debaldev Chaotic dynamics of a discrete predator-prey system with prey refuge. (English) Zbl 1334.92344 Appl. Math. Comput. 224, 848-865 (2013). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Gardini, Laura; Sushko, Iryna Doubling bifurcation of a closed invariant curve in 3D maps. (English. French summary) Zbl 1360.37132 ESAIM, Proc. 36, 180-188 (2012). MSC: 37G35 37G15 37C70 × Cite Format Result Cite Review PDF Full Text: DOI
Kamiyama, Kyohei; Komuro, Motomasa; Endo, Tetsuro Bifurcation of quasi-periodic oscillations in mutually coupled hard-type oscillators: demonstration of unstable quasi-periodic orbits. (English) Zbl 1270.34084 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 6, Article ID 1230022, 13 p. (2012). MSC: 34C23 34C46 34C27 34C15 34C29 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Liedtke, Christian The \(p\)-torsion subgroup scheme of an elliptic curve. (English) Zbl 1230.14044 J. Number Theory 131, No. 11, 2064-2077 (2011). Reviewer: Fumio Hazama (Hatoyama) MSC: 14H52 14L15 14G27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhusubaliyev, Z. T.; Yanochkina, O. O. Formation and breakdown of a multilayered closed curve in noninvertible maps. (Russian) Zbl 1224.37024 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 18, No. 1, 51-60 (2010). MSC: 37E30 37D25 × Cite Format Result Cite Review PDF
Li, Xuemei; Yuan, Zhaohui Existence of periodic solutions and closed invariant curves in a class of discrete-time cellular neural networks. (English) Zbl 1171.93023 Physica D 238, No. 16, 1658-1667 (2009). MSC: 37C25 37B99 93D09 93C55 × Cite Format Result Cite Review PDF Full Text: DOI
Oh, Hae-Soo; Kim, June G.; Jeong, Jaewoo The closed form reproducing polynomial particle shape functions for meshfree particle methods. (English) Zbl 1173.65303 Comput. Methods Appl. Mech. Eng. 196, No. 35-36, 3435-3461 (2007). MSC: 65D10 × Cite Format Result Cite Review PDF Full Text: DOI
Cardona, Gabriel; Nart, Enric; Pujolàs, Jordi Curves of genus two over fields of even characteristic. (English) Zbl 1097.11033 Math. Z. 250, No. 1, 177-201 (2005). Reviewer: Everett W. Howe (San Diego) MSC: 11G20 14G27 14G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Qinghui Existence of invariant closed curves for Fibonacci map. (Chinese. English summary) Zbl 0966.37014 Acta Math. Appl. Sin. 23, No. 4, 603-609 (2000). MSC: 37E99 37C25 37C05 × Cite Format Result Cite Review PDF
Aicardi, F. Self-linking of spatial curves without inflections and its applications. (English. Russian original) Zbl 0978.57009 Funct. Anal. Appl. 34, No. 2, 79-85 (2000); translation from Funkts. Anal. Prilozh. 34, No. 2, 1-8 (2000). Reviewer: Alberto Cavicchioli (Modena) MSC: 57M27 53A04 57M25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhuo, Xianglai; Han, Maoan On the polynomial system in plane with invariant set. (Chinese. English summary) Zbl 0942.34030 Math. Appl. 11, No. 2, 77-80 (1998). Reviewer: Ye Yanqian (Nanjing) MSC: 34C07 × Cite Format Result Cite Review PDF
Han, Maoan; Zhu, Deming Bifurcation of an invariant torus with strong resonance. (Chinese. English summary) Zbl 0862.58040 Acta Math. Sin. 39, No. 1, 96-101 (1996). MSC: 37G99 × Cite Format Result Cite Review PDF
Gutkin, Eugene; Katok, Anatole Caustics for inner and outer billiards. (English) Zbl 0839.58036 Commun. Math. Phys. 173, No. 1, 101-133 (1995). Reviewer: A.Papadopoulos (Strasbourg) MSC: 37A99 × Cite Format Result Cite Review PDF Full Text: DOI
Alouges, François; Debussche, Arnaud On the discretization of a partial differential equation in the neighborhood of a periodic orbit. (English) Zbl 0791.65071 Numer. Math. 65, No. 2, 143-175 (1993). Reviewer: François Alouges (Cachan) MSC: 65M20 65L05 65L20 65J15 35B10 34C25 34G20 35G10 35K25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Peschanskij, A. I. Description of the space of fractional integrals of curvilinear convolution type. (English. Russian original) Zbl 0742.46015 Sov. Math. 33, No. 7, 37-50 (1989); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No. 7(326), 29-39 (1989). Reviewer: A.Smajdor (Katowice) MSC: 46E30 47B38 × Cite Format Result Cite Review PDF
Chenciner, A. Hopf bifurcation for invariant tori. (English) Zbl 0477.58022 Dynamical systems, CIME, Bressanone 1978, 199-207 (1980). MSC: 37G99 37C70 37C55 × Cite Format Result Cite Review PDF
Clerc, Rene-Louis; Hartmann, Christian Sur les bifurcations d’une courbe invariante isolee fermée d’une recurrence du second ordre. (French) Zbl 0441.65096 C. R. Acad. Sci., Paris, Sér. A 290, 1005-1008 (1980). MSC: 65Q05 × Cite Format Result Cite Review PDF
Ishii, Ippei On a mapping of an annulus - with applications to the stability problem of elliptic fixed points. (English) Zbl 0479.58015 Keio Math. Semin. Rep. 2, 17-26 (1977). MSC: 37C25 54H20 × Cite Format Result Cite Review PDF