Liang, Chao; Saghin, Radu; Yang, Fan; Yang, Jiagang Shub’s example revisited. (English) Zbl 07983572 Ergodic Theory Dyn. Syst. 45, No. 3, 894-914 (2025). MSC: 37D30 37C40 37D35 37C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbieri, Sebastián; Labbé, Sébastien Indistinguishable asymptotic pairs and multidimensional Sturmian configurations. (English) Zbl 07983554 Ergodic Theory Dyn. Syst. 45, No. 2, 337-395 (2025). MSC: 37B10 37C29 52C23 68R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bandara, Ravindra I.; Giraldo, Andrus; Broderick, Neil G. R.; Krauskopf, Bernd Bifurcations of periodic orbits in the generalised nonlinear Schrödinger equation. (English) Zbl 07978279 J. Comput. Dyn. 12, No. 2, 178-211 (2025). MSC: 37J46 37G15 37G40 37M20 37N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Battelli, Flaviano; Franca, Matteo; Palmer, Kenneth J. Dichotomies for linear difference equations and homoclinic orbits of noninvertible maps. (English) Zbl 07978259 Discrete Contin. Dyn. Syst., Ser. B 30, No. 4, 1341-1356 (2025). MSC: 37C29 39A06 39A33 × Cite Format Result Cite Review PDF Full Text: DOI
Fontich, Ernest; Garijo, Antonio; Jarque, Xavier On the basin of attraction of a critical three-cycle of a model for the secant map. (English) Zbl 07978203 Discrete Contin. Dyn. Syst. 45, No. 4, 1045-1078 (2025). MSC: 37C05 37C29 37C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gołȩbiewska, Anna; Rybicki, Sławomir Generalization of Lyapunov center theorem for Hamiltonian systems via normal forms theory. (English) Zbl 07975162 J. Differ. Equations 421, 241-263 (2025). MSC: 37J46 37J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Hongwei; Liu, Changjian; Xiong, Yanqin Study on limit cycles near homoclinic loops and heteroclinic loops with hyperbolic saddles. (English) Zbl 07975155 J. Differ. Equations 421, 50-72 (2025). MSC: 34C07 37C29 37G15 37M20 × Cite Format Result Cite Review PDF Full Text: DOI
Ikeda, Kota; Kan, Toru; Ogawa, Toshiyuki Existence of traveling wave solutions in continuous optimal velocity models. (English) Zbl 07973244 Physica D 471, Article ID 134430, 14 p. (2025). MSC: 35C07 35L65 37C29 76A30 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Shengfu; Zhou, Yan; Zhuang, Jinsen Existence of multi-hump generalized homoclinic solutions for a class of reversible systems. (English) Zbl 07972504 Sci. China, Math. 68, No. 2, 299-338 (2025). MSC: 34C37 37C29 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael Rapid GPU-assisted search and parameterization-based refinement and continuation of connections between tori in periodically perturbed planar circular restricted 3-body problems. (English) Zbl 07971547 SIAM J. Appl. Dyn. Syst. 24, No. 1, 219-258 (2025). MSC: 70F07 70H12 70K44 70-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Xiujuan; Li, Yong Homoclinic/heteroclinic recurrent orbits and horseshoe. (English) Zbl 07971497 J. Differ. Equations 420, 150-179 (2025). MSC: 34C27 34D10 37B10 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Capiński, Maciej J.; Krauskopf, Bernd; Osinga, Hinke M.; Zgliczyński, Piotr Characterising blenders via covering relations and cone conditions. (English) Zbl 07957300 J. Differ. Equations 416, Part 1, 768-805 (2025). MSC: 37M21 37D30 65G20 37C29 37B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Sengen; Zhou, Liangqiang Dynamical behaviors in perturbative longitudinal vibration of microresonators under the parallel-plate electrostatic force. (English) Zbl 07954661 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108341, 26 p. (2025). MSC: 78Axx 93Bxx 33Exx × Cite Format Result Cite Review PDF Full Text: DOI
Sui, Shiyou; Zhang, Yongkang; Li, Baoyi Proof of two conjectures for perturbed piecewise linear Hamiltonian systems. (English) Zbl 07947260 Nonlinear Anal., Real World Appl. 81, Article ID 104195, 10 p. (2025). Reviewer: Paulo Santana (São José do Rio Preto) MSC: 34C07 34A36 34C23 34C37 34E10 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Batkhin, Alexander; Petrov, Alexander Orthogonal-symplectic matrices and their parametric representation. (English) Zbl 07923131 J. Symb. Comput. 127, Article ID 102353, 13 p. (2025). Reviewer: Roksana Słowik (Gliwice) MSC: 15B10 15B30 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Arnaud, Marie-Claude Denjoy subsystems and horseshoes. (English) Zbl 07981178 Fathi, Albert (ed.) et al., Hamiltonian systems. Dynamics, analysis, applications. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 72, 1-28 (2024). MSC: 37B10 37C05 37C29 37D05 37E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fei, Jiayi; Zhang, Qiongfen Normalized ground states for a kind of Choquard-Kirchhoff equations with critical nonlinearities. (English) Zbl 07978385 Bound. Value Probl. 2024, Paper No. 142, 22 p. (2024). MSC: 35J20 34C37 35J15 35R09 37J46 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Feltrin, Guglielmo; Fonda, Alessandro; Sfecci, Andrea A Poincaré-Birkhoff theorem for multivalued successor maps with applications to periodic superlinear Hamiltonian systems. (English) Zbl 07962341 J. Fixed Point Theory Appl. 26, No. 4, Paper No. 61, 22 p. (2024). MSC: 37-XX 37J46 34C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Uribe, M.; Vidarte, J.; Carrasco, D. Periodic solutions in a 2D-symmetric Hamiltonian system through reduction and averaging method. (English) Zbl 07960265 Dyn. Syst. 39, No. 4, 610-629 (2024). MSC: 37J46 34C25 37J40 70K65 × Cite Format Result Cite Review PDF Full Text: DOI
Fakhari, Abbas; Khalaj, Maryam Connectedness of the set of central Lyapunov exponents. (English) Zbl 07957830 J. Dyn. Control Syst. 30, No. 4, Paper No. 43, 11 p. (2024). MSC: 37B20 37C29 37C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karatetskaia, Efrosiniia; Koryakin, Vladislav; Soldatkin, Konstantin; Kazakov, Alexey Routes to chaos in a three-dimensional cancer model. (English) Zbl 07955947 Regul. Chaotic Dyn. 29, No. 5, 777-793 (2024). MSC: 37C29 37G35 37N25 × Cite Format Result Cite Review PDF Full Text: DOI
Gasiorek, Sean; Radnović, Milena Periodic trajectories and topology of the integrable Boltzmann system. (English) Zbl 07954885 Filipuk, Galina (ed.), Recent progress in special functions. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 807, 111-130 (2024). MSC: 37J35 37J39 37J46 37C79 37C83 70G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Çineli, Erman; Ginzburg, Viktor L.; Gürel, Başak Z. Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and Floer theory perspective. (English) Zbl 07951953 Math. Z. 308, No. 4, Paper No. 73, 38 p. (2024). MSC: 53D40 37J11 37J46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fonda, Alessandro Periodic solutions of Hamiltonian systems with symmetries. (English) Zbl 07949829 Amster, Pablo (ed.) et al., Topological methods for delay and ordinary differential equations. With applications to continuum mechanics. Cham: Birkhäuser. Adv. Mech. Math. 51, 1-19 (2024). MSC: 37J46 70H12 70H33 × Cite Format Result Cite Review PDF Full Text: DOI
Osenkov, Eugene M.; Pochinka, Olga V. Morse-Smale 3-diffeomorphisms with saddles of the same unstable manifold dimension. (English) Zbl 07946642 Russ. J. Nonlinear Dyn. 20, No. 1, 167-178 (2024). MSC: 37D15 37D05 37C05 37C75 37C15 37C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
Gonchenko, Sergey V.; Gordeeva, Olga V. On two-dimensional diffeomorphisms with homoclinic orbits to nonhyperbolic fixed points. (English) Zbl 07946641 Russ. J. Nonlinear Dyn. 20, No. 1, 151-165 (2024). MSC: 37G10 37G20 37C05 37C29 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Garibaldi, Eduardo; Petite, Samuel; Thieullen, Philippe Classification of discrete weak KAM solutions on linearly repetitive quasi-periodic sets. (English) Zbl 07946629 Commun. Math. Phys. 405, No. 12, Paper No. 291, 48 p. (2024). MSC: 37J40 37J46 37K60 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fontana-McNally, Josep; Miranda, Eva; Oms, Cédric; Peralta-Salas, Daniel A counterexample to the singular Weinstein conjecture. (English) Zbl 07945730 Adv. Math. 458, Part B, Article ID 109998, 27 p. (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 53D10 37J46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Begun, N. A.; Vasil’eva, E. V.; Zvyagintseva, T. E.; Iljin, Yu. A. Review of research on the qualitative theory of differential equations at St. Petersburg university. I: Stable periodic points of diffeomorphisms with homoclinic points and systems with weakly hyperbolic invariant sets. (English. Russian original) Zbl 07944444 Vestn. St. Petersbg. Univ., Math. 57, No. 2, 141-151 (2024); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 11(69), No. 2, 211-227 (2024). MSC: 37-02 37C10 37C15 37C20 37C25 37C27 37C75 34C05 34C25 34C37 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Fonda, Alessandro; Mamo, Natnael Gezahegn; Sfecci, Andrea An extension of the Poincaré-Birkhoff theorem to systems involving Landesman-Lazer conditions. (English) Zbl 07941121 Ric. Mat. 73, No. 5, 2877-2900 (2024). MSC: 37J46 37J06 37J25 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Kon, Ryusuke Invariant curves in a discrete-time two-species system. (English) Zbl 07939270 J. Difference Equ. Appl. 30, No. 10, 1711-1726 (2024). MSC: 92D25 39A60 39A30 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Albert C. J. Limit cycles and homoclinic networks in two-dimensional polynomial systems (to appear). (English) Zbl 07938926 Singapore: Springer (ISBN 978-981-972616-5/hbk; 978-981-972619-6/pbk; 978-981-972617-2/ebook). viii, 328 p. (2024). MSC: 37-02 34-02 37C10 37C25 37C27 37C29 37G15 37G35 34C05 34C07 34C37 × Cite Format Result Cite Review PDF
Hirata, Jun; Matsugi, Yoshitaka; Tanaka, Kazunaga Periodic bounce trajectories in moving domains. (English) Zbl 07937998 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 35, No. 1, 77-103 (2024). MSC: 37J46 37C27 58E05 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Pérez Rothen, Yocelyn; Vidal, Claudio Reduction and reconstruction of the oscillator in 1:1:2 resonance plus an axially symmetric polynomial perturbation. (English) Zbl 07935909 SIAM J. Appl. Dyn. Syst. 23, No. 3, 2489-2532 (2024). MSC: 37J40 37J46 70H12 70K30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanshan; Zhou, Zhan Homoclinic solutions for a discrete periodic Hamiltonian system with perturbed terms. (English) Zbl 07931687 J. Geom. Anal. 34, No. 12, Paper No. 361, 29 p. (2024). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 39A27 39A12 39A22 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Fontich, Ernest; Garijo, Antonio; Jarque, Xavier Chaotic dynamics at the boundary of a basin of attraction via non-transversal intersections for a non-global smooth diffeomorphism. (English) Zbl 07931656 J. Nonlinear Sci. 34, No. 6, Paper No. 102, 32 p. (2024). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37E30 37D05 37C05 37C15 37D10 37C29 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Boling; Zhang, Jun; Li, Jing; Zeng, Lan Nearly integrable infinite dimensional dynamical system. (English) Zbl 07929524 Hors collection. Beijing: Science Press; Les Ulis: EDP Sciences (ISBN 978-2-7598-3626-0/pbk; 978-2-7598-3627-7/ebook). x, 569 p. (2024). MSC: 37-02 37K55 37K45 37K50 × Cite Format Result Cite Review PDF Full Text: DOI
Bakri, Taoufik; Verhulst, Ferdinand Emergence and approximation of tori. (English) Zbl 1546.37142 Belhaq, Mohamed (ed.), Advances in nonlinear dynamics and control of mechanical and physical systems. Selected articles from CSNDD, Marrakesh, Morocco, May 15–17, 2023. Singapore: Springer. Springer Proc. Phys. 301, 1-22 (2024). MSC: 37M21 37M20 37J40 37J46 70H08 70H12 70K43 65P30 × Cite Format Result Cite Review PDF Full Text: DOI
Scarcella, Donato Biasymptotically quasi-periodic solutions for time-dependent Hamiltonians. (English) Zbl 07920608 Regul. Chaotic Dyn. 29, No. 4, 620-653 (2024). MSC: 37J40 37J25 37J46 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rudolf, Daniel The Minkowski billiard characterization of the EHZ-capacity of convex Lagrangian products. (English) Zbl 07920496 J. Dyn. Differ. Equations 36, No. 3, 2773-2791 (2024). MSC: 37C83 37J39 37J46 37J51 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Tianfang; Zhang, Wen Existence and concentration of homoclinic orbits for first order Hamiltonian systems. (English) Zbl 07919828 Commun. Anal. Mech. 16, No. 1, 121-146 (2024). MSC: 37J46 70K44 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haijun; Pan, Jun; Ke, Guiyao Revealing more hidden attractors from a new sub-quadratic Lorenz-like system of degree \(\frac{6}{5}\). (English) Zbl 1546.37056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 6, Article ID 2450071, 15 p. (2024). MSC: 37D45 34D45 34C07 34C28 34C37 34C23 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Alves, Marcelo R. R.; Meiwes, Matthias Braid stability and the Hofer metric. (Stabilité des tresses et métrique de Hofer.) (English. French summary) Zbl 07914800 Ann. Henri Lebesgue 7, 521-581 (2024). MSC: 53D40 53D22 37B40 37E30 37J46 37J39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barrabés, E.; Borondo, F.; Fontich, E.; Martín, P.; Ollé, M. A numerical study of the scattering in the He-Cu model with a Morse potential: parabolic manifolds and exponentially small phenomena. (English) Zbl 07912556 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108260, 26 p. (2024). MSC: 37M21 37M05 65P20 65P30 65P40 37J46 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Bradshaw-Hajek, Bronwyn H.; Lizarraga, Ian; Marangell, Robert; Wechselberger, Martin A geometric singular perturbation analysis of shock selection rules in composite regularized reaction-nonlinear diffusion models. (English) Zbl 1548.35038 SIAM J. Appl. Dyn. Syst. 23, No. 3, 2099-2137 (2024). MSC: 35B25 35B35 35C07 35K57 37C29 37C75 × Cite Format Result Cite Review PDF Full Text: DOI
Abreu, Miguel; Liu, Hui; Macarini, Leonardo Symmetric periodic Reeb orbits on the sphere. (English) Zbl 07906012 Trans. Am. Math. Soc. 377, No. 9, 6751-6770 (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 53D40 37J39 37J46 37J55 53D05 53D10 58A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Çineli, Erman; Ginzburg, Viktor L.; Gürel, Başak Z. On the growth of the Floer barcode. (English) Zbl 07901426 J. Mod. Dyn. 20, 275-298 (2024). Reviewer: Alexander Felshtyn (Szczecin) MSC: 53D40 37B40 55N31 37J46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Casas, P. S.; Drubi, F.; Ibáñez, S. Invariant manifolds in a reversible Hamiltonian system: the tentacle-like geometry. (English) Zbl 07899908 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108189, 22 p. (2024). MSC: 37J20 37J25 37J46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rodríguez-González, Marcelo; Gutiérrez-Vega, Julio C. Confocal parabolic billiard with gravitational potential: classical and quantum description. (English) Zbl 07899894 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108174, 16 p. (2024). MSC: 37J46 70H20 70B05 70G60 37C83 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Vidarte, Jhon; Vera-Damián, Yrina; Gonzales, Walter Periodic orbits in a Hamiltonian system of stellar type. (English) Zbl 07893190 Physica D 467, Article ID 134261, 10 p. (2024). MSC: 37J46 37J40 70K65 70K30 70H12 70H09 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Duan Zhi; Zhao, Zhi Hao \(P\)-symmetric subharmonic solutions for nonlinear Hamiltonian systems. (English) Zbl 1548.37093 Acta Math. Sin., Engl. Ser. 40, No. 6, 1388-1408 (2024). MSC: 37J46 37J51 37B30 × Cite Format Result Cite Review PDF Full Text: DOI
Rüdiger, Barbara; Tordeux, Antoine; Ugurcan, Baris E. Stability analysis of a stochastic port-Hamiltonian car-following model. (English) Zbl 1548.37074 J. Phys. A, Math. Theor. 57, No. 29, Article ID 295203, 25 p. (2024). MSC: 37J25 37N35 37A60 37H10 37J46 60H10 93E20 76A30 65C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alberti, Angelo Existence and linear stability of symmetric periodic orbits in the generalized planar Stark-Zeeman problem. (English) Zbl 07881042 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 227, 29 p. (2024). Reviewer: Johannes Giannoulis (Ioannina) MSC: 37N20 37J40 37J25 37J46 70H09 70H12 70H14 81V45 × Cite Format Result Cite Review PDF Full Text: DOI
Kuang, Juhong; Guo, Zhiming Periodic solutions with prescribed minimal period for second-order Hamiltonian systems with non-symmetric potentials. (English) Zbl 07879171 Appl. Math. Lett. 155, Article ID 109123, 8 p. (2024). Reviewer: Juan Manuel Burgos (Ciudad de México) MSC: 37J46 37J51 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Benhassine, A.; Farhani, S.; Talbi, T. Sufficient close-to-necessary condition for the existence of homoclinic orbits, and applications. (English) Zbl 1548.37091 São Paulo J. Math. Sci. 18, No. 1, 370-388 (2024). MSC: 37J46 37J51 37C29 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Broćić, Filip; Cant, Dylan Bordism classes of loops and Floer’s equation in cotangent bundles. (English) Zbl 1544.53087 J. Fixed Point Theory Appl. 26, No. 3, Paper No. 26, 29 p. (2024). MSC: 53D40 37J39 37J46 37J51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Min Minimal measures beyond Mather. (English) Zbl 07873547 Calc. Var. Partial Differ. Equ. 63, No. 6, Paper No. 156, 24 p. (2024). MSC: 37J51 37J46 37J39 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shanshan; Han, Maoan Homoclinic and heteroclinic bifurcations in piecewise smooth systems via stability-changing method. (English) Zbl 1549.34113 Comput. Appl. Math. 43, No. 5, Paper No. 274, 24 p. (2024). MSC: 34C23 34C05 34C07 37G15 34C37 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
C’Julio, Dana; Krauskopf, Bernd; Osinga, Hinke M. Computing parametrised large intersection sets of 1D invariant manifolds: a tool for blender detection. (English) Zbl 07869108 Numer. Algorithms 96, No. 3, 1079-1108 (2024). MSC: 65-XX 37M21 37C05 37D25 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Yagasaki, Kazuyuki Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits. (English) Zbl 07868586 Physica D 464, Article ID 134189, 8 p. (2024). Reviewer: Andy R. Magid (Norman) MSC: 37J30 37J35 37J40 37J46 12H05 34C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khachnaoui, Khaled Periodic solution for perturbed Hamiltonian systems. (English) Zbl 1548.37092 Quaest. Math. 47, No. 4, 797-812 (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J46 37J40 70H09 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Scarcella, Donato Asymptotically quasiperiodic solutions for time-dependent Hamiltonians. (English) Zbl 07867487 Nonlinearity 37, No. 6, Article ID 065005, 33 p. (2024). MSC: 37J46 37J25 37J40 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manicom, Gray; Kirk, Vivien; Postlethwaite, Claire Non-Markovian processes on heteroclinic networks. (English) Zbl 1545.34065 Chaos 34, No. 3, Article ID 033120, 15 p. (2024). MSC: 34C37 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Barrio, Roberto; Ibáñez, Santiago; Jover-Galtier, Jorge A.; Lozano, Álvaro; Martínez, M. Ángeles; Mayora-Cebollero, Ana; Mayora-Cebollero, Carmen; Pérez, Lucía; Serrano, Sergio; Vigara, Rubén Dynamics of excitable cells: spike-adding phenomena in action. (English) Zbl 1540.92040 S\(\vec{\text{e}}\)MA J. 81, No. 1, 113-146 (2024). MSC: 92C20 34C23 37G15 37G20 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Lin; He, Xiaokai; Chen, Aiyong Bifurcations analysis and monotonicity of the period function of the Lakshmanan-Porsezian-Daniel equation with Kerr law of nonlinearity. (English) Zbl 1544.34041 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 179, 22 p. (2024). MSC: 34C05 34C23 37J46 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Janczewska, Joanna Periodic solutions of generalized Lagrangian systems with small perturbations. (English) Zbl 1546.37107 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 178, 8 p. (2024). MSC: 37J46 49J35 70G75 × Cite Format Result Cite Review PDF Full Text: DOI
Emelin, Artyom E.; Grines, Evgeny A.; Levanova, Tatiana A. Chaos in coupled heteroclinic cycles between weak chimeras. (English) Zbl 1543.37040 Regul. Chaotic Dyn. 29, No. 1, 205-217 (2024). MSC: 37D45 37C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Turaev, Dmitry On the regularity of invariant foliations. (English) Zbl 1546.37047 Regul. Chaotic Dyn. 29, No. 1, 6-24 (2024). MSC: 37D05 37D10 37C86 37G25 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Ying; Guo, Fei; Liu, Yan Homoclinic solutions for a class of perturbed fractional Hamiltonian systems with subquadratic conditions. (English) Zbl 1546.37111 Acta Math. Sin., Engl. Ser. 40, No. 5, 1177-1196 (2024). MSC: 37J46 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Sheng-Ya; Chang, Der-Chen On periodic solutions to the Hamilton system associated with the Schrödinger operators with strongly nonlinear potentials. (English) Zbl 1543.34025 Anal. Math. Phys. 14, No. 3, Paper No. 50, 24 p. (2024). MSC: 34C05 34A45 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Katsanikas, Matthaios; Wiggins, Stephen 2D generating surfaces and dividing surfaces in Hamiltonian systems with three degrees of freedom. (English) Zbl 1546.37110 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 1, Article ID 2430002, 13 p. (2024). MSC: 37J46 37J20 37J25 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Siyu; Luo, Albert C. J. Period-1 to period-4 motions in a 5D Lorenz system. (English) Zbl 1546.34090 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 5, Article ID 2450065, 12 p. (2024). MSC: 34C25 34C37 37C27 34C60 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Gonzalez Montoya, Francisco; Katsanikas, Matthaios; Wiggins, Stephen Periodic orbit dividing surfaces in a quartic Hamiltonian system with three degrees of freedom. I. (English) Zbl 1546.37106 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 5, Article ID 2430011, 11 p. (2024). MSC: 37J46 37J40 37D10 37J20 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yousu; Yang, Qigui Bifurcations of sliding heteroclinic cycles in three-dimensional Filippov systems. (English) Zbl 1546.34084 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 3, Article ID 2450035, 22 p. (2024). MSC: 34C23 34C37 34A36 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Katsanikas, Matthaios; Wiggins, Stephen 3D generating surfaces in Hamiltonian systems with three degrees of freedom. II. (English) Zbl 1546.37145 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 2, Article ID 2430005, 8 p. (2024). MSC: 37M21 37D10 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Katsanikas, Matthaios; Wiggins, Stephen 3D generating surfaces in Hamiltonian systems with three degrees of freedom. I. (English) Zbl 1546.37144 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 2, Article ID 2430004, 12 p. (2024). MSC: 37M21 37D10 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Pengfei Homoclinic points of symplectic partially hyperbolic systems with 2D centre. (English) Zbl 1545.37021 Dyn. Syst. 39, No. 2, 302-316 (2024). MSC: 37C29 37C20 37D30 37C86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Dongchen; Turaev, Dmitry Persistence of heterodimensional cycles. (English) Zbl 1544.37015 Invent. Math. 236, No. 3, 1413-1504 (2024). MSC: 37C29 37C27 37D05 37C15 37C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brugués, Joaquim; Miranda, Eva; Oms, Cédric The Arnold conjecture for singular symplectic manifolds. (English) Zbl 1541.53098 J. Fixed Point Theory Appl. 26, No. 2, Paper No. 16, 60 p. (2024). Reviewer: Vladimir P. Kostov (Nice) MSC: 53D05 53D17 53D40 37J39 37J46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Motonaga, Shoya Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits. (English) Zbl 1543.37057 Physica D 460, Article ID 134088, 6 p. (2024). MSC: 37J30 37J40 37J46 34E10 37C27 34C25 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ming; Zheng, Zhaowen; Ma, Cui-Qin; Hu, Dongpo Hopf and Bogdanov-Takens bifurcations of a delayed Bazykin model. (English) Zbl 1545.34107 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 138, 32 p. (2024). Reviewer: Xiaosong Tang (Ji’an) MSC: 34K60 92D25 34K21 34K20 34K13 34K17 34K18 34K16 × Cite Format Result Cite Review PDF Full Text: DOI
Chao, Ying; Duan, Jinqiao; Wei, Pingyuan Small-noise-induced metastable transition of periodically perturbed systems. (English) Zbl 1546.37104 SIAM J. Appl. Dyn. Syst. 23, No. 1, 961-981 (2024). Reviewer: Juan Manuel Burgos (Ciudad de México) MSC: 37J46 70H09 70H12 70K55 × Cite Format Result Cite Review PDF Full Text: DOI
Çineli, Erman; Ginzburg, Viktor L.; Gürel, Başak Z. On the generic behavior of the spectral norm. (English) Zbl 1541.37063 Pac. J. Math. 328, No. 1, 119-135 (2024). MSC: 37J39 37J11 37J46 53D05 53D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fonda, Alessandro; Ullah, Wahid Boundary value problems associated with Hamiltonian systems coupled with positively-\((p, q)\)-homogeneous systems. (English) Zbl 1541.37069 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 41, 28 p. (2024). MSC: 37J46 34B10 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Saha, Tapan; Pal, Pallav Jyoti Unveiling the dynamics of canard cycles and global behaviour in a singularly perturbed predator-prey system with Allee effect in predator. (English) Zbl 1549.92061 Comput. Appl. Math. 43, No. 2, Paper No. 86, 32 p. (2024). MSC: 92D25 34D15 34E17 34C23 34C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barhoumi, Najoua New results for fractional Hamiltonian systems. (English) Zbl 1541.37068 Mediterr. J. Math. 21, No. 1, Paper No. 38, 19 p. (2024). MSC: 37J46 34A08 26A33 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Quan, Tingting; Li, Jing; Sun, Min; Chen, Yongqiang Bifurcation of multiple periodic solutions for a class of nonlinear dynamical systems in \((m+4)\)-dimension. (English) Zbl 1535.37067 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 21, 24 p. (2024). MSC: 37J20 37J46 70H12 70K50 70K30 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Juan; Chen, Xueting Periodic solutions for second-order even and noneven Hamiltonian systems. (English) Zbl 1541.37071 Bound. Value Probl. 2024, Paper No. 3, 18 p. (2024). MSC: 37J46 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Bhattacharyya, Joydeb; Banerjee, Malay; Banerjee, Soumitro Non-smooth dynamics of a fishery model with a two-threshold harvesting policy. (English) Zbl 1536.91236 Commun. Nonlinear Sci. Numer. Simul. 133, Article ID 107980, 22 p. (2024). MSC: 91B76 92D25 92D40 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Xin; Zhang, Pengfei Homoclinic and heteroclinic intersections for lemon billiards. (English) Zbl 1541.37030 Adv. Math. 442, Article ID 109588, 67 p. (2024). MSC: 37C83 37C29 37E30 37B40 37A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qu, Huadi; Xia, Zhihong Action and periodic orbits of area-preserving diffeomorphisms. (English) Zbl 1543.37050 J. Differ. Equations 391, 246-264 (2024). MSC: 37E30 37E35 37A05 37C05 37J46 37J51 × Cite Format Result Cite Review PDF Full Text: DOI
Al Saadi, Fahad; Champneys, Alan; Jeffrey, Mike R. Wave-pinned patterns for cell polarity – a catastrophe theory explanation. (English) Zbl 1536.35175 SIAM J. Appl. Dyn. Syst. 23, No. 1, 721-747 (2024). MSC: 35K57 35K51 92C15 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Mingxing; Shi, Shaoyun; Huang, Kaiyin On the integrable stretch-twist-fold flow: bi-Hamiltonian structures and global dynamics. (English) Zbl 1533.37120 J. Math. Phys. 65, No. 2, Article ID 022704, 20 p. (2024). MSC: 37J35 37J06 37J30 76W05 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang Quasi-periodic solutions of \(n\) coupled Schrödinger equations with Liouvillean basic frequencies. (English) Zbl 1533.37128 J. Math. Phys. 65, No. 2, Article ID 022701, 23 p. (2024). MSC: 37J40 37J46 34C27 34C20 34A30 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Xin, Xin; Yan, Yuhang Global analysis of energy-based swing-up control for soft robot. (English) Zbl 1534.93341 Automatica 161, Article ID 111471, 9 p. (2024). MSC: 93C85 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Soleimani, L.; Rabieimotlagh, O. Bifurcation of big periodic orbits through symmetric homoclinics, application to Duffing equation. (English) Zbl 1549.37020 J. Mahani Math. Res. Cent. 13, No. 1, 1-11 (2024). MSC: 37G15 34C37 34C23 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Bosschaert, M. M.; Kuznetsov, Yu. A. Bifurcation analysis of Bogdanov-Takens bifurcations in delay differential equations. (English) Zbl 1541.37052 SIAM J. Appl. Dyn. Syst. 23, No. 1, 553-591 (2024). Reviewer: Joseph Páez Chávez (Guayaquil) MSC: 37G10 37G20 34K16 34K18 34K19 37M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Aritra; Das, Soumya; Das, Pritha Hopf bifurcation analysis and existence of heteroclinic orbit and homoclinic orbit in an extended Lorenz system. (English) Zbl 1536.37049 Differ. Equ. Dyn. Syst. 32, No. 1, 33-49 (2024). Reviewer: Paulo Santana (São José do Rio Preto) MSC: 37G20 37G15 37G10 37C29 34C23 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Barcelona, Miquel; Haro, Alex; Mondelo, Josep-Maria Semianalytical computation of heteroclinic connections between center manifolds with the parameterization method. (English) Zbl 1535.37099 SIAM J. Appl. Dyn. Syst. 23, No. 1, 98-126 (2024). MSC: 37M21 37M05 37C75 37C79 37C29 37N05 70F07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fabert, Oliver Cuplength estimates for time-periodic measures of Hamiltonian systems with diffusion. (English) Zbl 1546.37105 J. Fixed Point Theory Appl. 26, No. 1, Paper No. 3, 17 p. (2024). MSC: 37J46 37J12 37J39 37J40 53D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv