Random Disordered Periodical Input Induced Chaos in Discontinuous Systems

DOI10.1142/S0218127419500020zbMath1415.34043OpenAlexW2913756729WikidataQ128413228 ScholiaQ128413228MaRDI QIDQ4626469

Di Liu, Yong Xu

Publication date: 28 February 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419500020

zbMATH Keywords

chaosdiscontinuous systemrandom Melnikov methodrandom disordered periodic input

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28) Singular perturbations for ordinary differential equations (34E15) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint ⋮ Complex Dynamics of a Filippov Three-Species Food Chain Model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A method to stochastic dynamical systems with strong nonlinearity and fractional damping
• Chaotic threshold for non-smooth system with multiple impulse effect
• The Melnikov method of heteroclinic orbits for a class of planar hybrid piecewise-smooth systems and application
• Dynamics and bifurcations of non-smooth mechanical systems
• Noise-induced chaos in the electrostatically actuated MEMS resonators
• Melnikov method for discontinuous planar systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• Subharmonic response of a quasi-isochronous vibroimpact system to a randomly disordered periodic excitation
• Non-smooth dynamical systems
• The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a switching manifold
• Noise-induced chaos and phase space flux
• Effect of bounded noise on chaotic motion of Duffing oscillator under parametric excitation
• Piecewise-smooth dynamical systems. Theory and applications
• Melnikov Method for a Class of Planar Hybrid Piecewise-Smooth Systems
• A new test for chaos in deterministic systems
• Chaotic Mechanics in Systems with Impacts and Friction
• Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors
• Subharmonic Bifurcation for a Nonsmooth Oscillator
• NOISY CHAOS IN A QUASI-INTEGRABLE HAMILTONIAN SYSTEM WITH TWO DOF UNDER HARMONIC AND BOUNDED NOISE EXCITATIONS
• MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS
• Melnikov-Type Chaos of Planar Systems with Two Discontinuities
• Chaos and Chaos Control of the Frenkel–Kontorova Model with Dichotomous Noise
• Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications

This page was built for publication: Random Disordered Periodical Input Induced Chaos in Discontinuous Systems