Effect of nonlinear dissipation on the basin boundaries of a driven two-well Rayleigh-Duffing oscillator

DOI10.1016/j.chaos.2007.05.007zbMath1197.37142OpenAlexW2170607368MaRDI QIDQ711983

D. Kharzeev

Publication date: 28 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.05.007

Mathematics Subject Classification ID

Applications of dynamical systems (37N99)

Related Items (11)

Relaxation and mixed mode oscillations in a shape memory alloy oscillator driven by parametric and external excitations ⋮ On the truly nonlinear oscillator with positive and negative damping ⋮ On the occurrence of chaos in a parametrically driven extended Rayleigh oscillator with three-well potential ⋮ Chaos of the Rayleigh-Duffing oscillator with a non-smooth periodic perturbation and harmonic excitation ⋮ Existence and stability of solutions for linear and nonlinear damping of \(q\)-fractional Duffing-Rayleigh problem ⋮ Chaos control in a pendulum system with excitations ⋮ Chaotic motion in forced Duffing system subject to linear and nonlinear damping ⋮ Birth of oscillation in coupled non-oscillatory Rayleigh-Duffing oscillators ⋮ Analysis on the motion of nonlinear vibration with fractional order and time variable mass ⋮ Effect of Nonlinear Dissipation on the Basin Boundaries of a Driven Two-Well Modified Rayleigh–Duffing Oscillator ⋮ The damping term makes the Smale-horseshoe heteroclinic chaotic motion easier

Uses Software

• Dynamics

Cites Work

• Unnamed Item
• Investigation on chaotic motion in hysteretic nonlinear suspension system with multi-frequency excitations
• Remarks on transitions order-chaos induced by the shape of the periodic excitation in a parametric pendulum.
• Slow flow solutions and chaos control in an electromagnetic seismometer system
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Determining Lyapunov exponents from a time series
• Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2 DOS Diskette.
• Controlling chaos in a fluid flow past a movable cylinder.
• A generalized perturbed pendulum.
• Intersections of stable and unstable manifolds: the skeleton of Lagrangian chaos
• Subharmonic bifurcations in a pendulum parametrically excited by a non-harmonic perturbation
• Resonant oscillation and homoclinic bifurcation in a \(\Phi^{6}\)-van der Pol oscillator
• Symmetry-breaking analysis for the general Helmholtz-Duffing oscillator
• Nonlinear response of a self-sustained electromechanical seismographs to fifth resonance excitations and chaos control
• THE EFFECT OF NONLINEAR DAMPING ON THE UNIVERSAL ESCAPE OSCILLATOR
• The Physics of Vibration

This page was built for publication: Effect of nonlinear dissipation on the basin boundaries of a driven two-well Rayleigh-Duffing oscillator