On the occurrence of chaos in a parametrically driven extended Rayleigh oscillator with three-well potential

DOI10.1016/j.chaos.2008.03.013zbMath1198.65153OpenAlexW1983489126MaRDI QIDQ602386

Sumit K. Garg

Publication date: 4 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.03.013

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical methods for ordinary differential equations (65L99)

Related Items (7)

Melnikov Chaos in a Modified Rayleigh–Duffing Oscillator with ϕ6 Potential ⋮ Unnamed Item ⋮ Bifurcations and Chaos in the Duffing Equation with Parametric Excitation and Single External Forcing ⋮ Chaos Suppression for Coupled Electromechanical Torsional Vibrations in a High-Speed Permanent Magnet Synchronous Motor Driven System via Multitime Delayed Feedback Control ⋮ Chaos control in a pendulum system with excitations ⋮ Chaotic motion in forced Duffing system subject to linear and nonlinear damping ⋮ Effect of Nonlinear Dissipation on the Basin Boundaries of a Driven Two-Well Modified Rayleigh–Duffing Oscillator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effect of nonlinear dissipation on the basin boundaries of a driven two-well Rayleigh-Duffing oscillator
• Complex dynamics in Duffing-Van der Pol equation
• Remarks on transitions order-chaos induced by the shape of the periodic excitation in a parametric pendulum.
• Prediction of horseshoe chaos in BVP and DVP oscillators
• A generalized perturbed pendulum.
• Suppression of chaos in averaged oscillator driven by external and parametric excitations
• 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
• Complex dynamics in three-well Duffing system with two external forcings
• Effect of bounded noise on chaotic motion of a triple-well potential system
• A STUDY OF THE LIMIT CYCLES ASSOCIATED WITH A GENERALIZED CODIMENSION-3 LIENARD OSCILLATOR
• Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits
• THE EFFECT OF NONLINEAR DAMPING ON THE UNIVERSAL ESCAPE OSCILLATOR
• GLOBAL AND LOCAL CONTROL OF HOMOCLINIC AND HETEROCLINIC BIFURCATIONS

This page was built for publication: On the occurrence of chaos in a parametrically driven extended Rayleigh oscillator with three-well potential