Dynamics of homoclinic tangles in periodically perturbed second-order equations

DOI10.1016/j.jde.2010.04.005zbMath1218.34053arXiv0802.4272OpenAlexW2058847436MaRDI QIDQ619866

Qiudong Wang, Ali Oksasoglu

Publication date: 18 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.4272

zbMATH Keywords

chaosdissipative saddle

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (15)

Dissecting a resonance wedge on heteroclinic bifurcations ⋮ Unfolding a Bykov attractor: from an attracting torus to strange attractors ⋮ Periodically forced double homoclinic loops to a dissipative saddle ⋮ Heteroclinic chaotic behavior driven by a Brownian motion ⋮ Dynamics of heteroclinic tangles with an unbroken saddle connection ⋮ Strange Attractors in a Three-Dimensional Autonomous Polynomial Equation ⋮ Bifurcations from an attracting heteroclinic cycle under periodic forcing ⋮ Chaotic heteroclinic tangles with the degenerate Melnikov function ⋮ Impact oscillators with homoclinic orbit tangent to the wall ⋮ Chaotic behavior in differential equations driven by a Brownian motion ⋮ Periodic occurrence of chaotic behavior of homoclinic tangles ⋮ Persistence of Homoclinic Orbits under White Noise Perturbation ⋮ Strange attractors and their periodic repetition ⋮ Computing Melnikov Curves for Periodically Perturbed Piecewise Smooth Oscillators ⋮ Rank-one strange attractors \textit{versus} heteroclinic tangles

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