Silnikov's orbit in coupled Duffing's systems

DOI10.1016/S0960-0779(98)00236-7zbMath0952.34046OpenAlexW2080374921MaRDI QIDQ1573970

Peng-cheng Xu, Zhu-jun Jing

Publication date: 9 August 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00236-7

zbMATH Keywords

Melnikov's methodSilnikov's orbittransversal homoclinic orbitgeometrical singular perturbation theorycoupled Duffing systems

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Infinite nonwandering sets arising in bifurcations of dynamical systems (37G30) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (4)

Influence of the Coexisting Attractors on the Slow–Fast Behaviors in the Fast Subsystem ⋮ Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems ⋮ The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate ⋮ HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS

Cites Work

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• Global dynamics, phase space transport, orbits homoclinic to resonances, and applications
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• Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
• Chaotic Dynamics of a Quasi-Periodically Forced Beam

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