Homoclinic bifurcations and chaotic dynamics for a piecewise linear system under a periodic excitation and a viscous damping

DOI10.1007/s11071-014-1820-4zbMath1331.37029OpenAlexW2028315085MaRDI QIDQ490472

Wei Zhang, Shuangbao Li, Yuxin Hao, Chao Shen

Publication date: 27 August 2015

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

Full work available at URL: https://doi.org/10.1007/s11071-014-1820-4

zbMATH Keywords

chaotic attractorshomoclinic bifurcationsdiscontinuous systemsa piecewise linear systemhomoclinic-like orbitMelnikov analysis for nonsmooth planar systemssaddle-like singularity

Mathematics Subject Classification ID

Feedback control (93B52) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

Chaotic threshold for a class of impulsive differential system, 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, Viscoelastic string-beam coupled vibro-impact system: modeling and dynamic analysis, Subharmonic Bifurcation for a Nonsmooth Oscillator, The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a switching manifold, Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator, Bursting Oscillations as well as the Mechanism in a Filippov System with Parametric and External Excitations, Subharmonic resonance and chaos for a class of vibration isolation system with two pairs of oblique springs

Cites Work

• Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
• Empirical dry-friction modeling in a forced oscillator using chaos
• Melnikov method for discontinuous planar systems
• Homoclinic trajectories in discontinuous systems
• Bifurcation and chaos near sliding homoclinics
• Periodic and chaotic motions of a harmonically forced piecewise linear system
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global bifurcations and chaos. Analytical methods
• Nonsmooth mechanics. Models, dynamics and control.
• Non-smooth dynamical systems
• Global chaos in a periodically forced, linear system with a dead-zone restoring force
• Piecewise-smooth dynamical systems. Theory and applications
• The mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation
• PERIODIC RESPONSE OF PIECEWISE NON-LINEAR OSCILLATORS UNDER HARMONIC EXCITATION
• Subharmonic Resonances and Chaotic Motions of a Bilinear Oscillator
• Dynamical complexities of forced impacting systems
• A periodically forced piecewise linear oscillator
• Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications
• Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics
• Bifurcations in nonlinear discontinuous systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item