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The existence of Šilnikov's orbit in four-dimensional Duffing's systems

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Publication:1879155
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zbMath1106.34028MaRDI QIDQ1879155

Peng-cheng Xu, Wei Li

Publication date: 22 September 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)


zbMATH Keywords

homoclinic orbitMelnikov methodDuffing systemSilnikov orbit


Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


Related Items (4)

Multi-pulse chaotic dynamics of non-autonomous nonlinear system for a honeycomb sandwich plate ⋮ Stability and multi-pulse jumping chaotic vibrations of a rotor-active magnetic bearing system with 16-pole legs under mechanical-electric-electromagnetic excitations ⋮ Three dimensional nilpotent singularity and Sil'nikov bifurcation ⋮ The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate







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