Chaotic threshold for a class of impulsive differential system

DOI10.1007/S11071-015-2477-3zbMath1353.70055OpenAlexW1949487648MaRDI QIDQ335743

Xinwei Yang, Yufeng Zhou, Ruilan Tian, Baoling Zhang

Publication date: 2 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2477-3

zbMATH Keywords

chaosMelnikov methodimpulsive differential systemnon-smooth homoclinic orbit

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (12)

Global dynamics of a pipe conveying pulsating fluid in primary parametrical resonance: analytical and numerical results from the nonlinear wave equation ⋮ Chaotic threshold for non-smooth system with multiple impulse effect ⋮ Frequency and amplitude identification of weak signal based on the limit system of smooth and discontinuous oscillator ⋮ Subharmonic bifurcation for a non-smooth double pendulum with unilateral impact ⋮ Dynamic response and bifurcation for Rayleigh-Liénard oscillator under multiplicative colored noise ⋮ Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint ⋮ Global dynamics for a class of tristable system with negative stiffness ⋮ Viscoelastic string-beam coupled vibro-impact system: modeling and dynamic analysis ⋮ Subharmonic Bifurcation for a Nonsmooth Oscillator ⋮ Heteroclinic Chaotic Threshold in a Nonsmooth System with Jump Discontinuities ⋮ Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator ⋮ Global Dynamics of an Elliptically Excited Pendulum Model

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