Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits

From MaRDI portal
Publication:3224506

DOI10.1016/0022-460X(90)90934-RzbMath1235.74096MaRDI QIDQ3224506

Francis C. Moon, Guangxuan Li

Publication date: 2 April 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)




Related Items (25)

HOMOCLINIC BIFURCATION AND CHAOS IN Φ6-RAYLEIGH OSCILLATOR WITH THREE WELLS DRIVEN BY AN AMPLITUDE MODULATED FORCEThe influence of ramped forcing on safe basins in a mechanical oscillatorModelling of the dynamics of Euler's beam by \(\phi^6\) potentialBifurcations and chaos in three-well Duffing system with one external forcingOn the occurrence of chaos in a parametrically driven extended Rayleigh oscillator with three-well potentialEFFECT OF GAUSSIAN WHITE NOISE ON THE DYNAMICAL BEHAVIORS OF AN EXTENDED DUFFING–VAN DER POL OSCILLATORBifurcations and chaos in Duffing equation with damping and external excitationsBifurcations and Chaos in the Duffing Equation with Parametric Excitation and Single External ForcingBifurcations of periodic orbits in three-well Duffing system with a phase shiftHomoclinic bifurcation and chaos control in MEMS resonatorsComplex dynamics in three-well Duffing system with two external forcingsThe effect of symmetry-breaking on the parameterically excited pendulumCATASTROPHE THEORETIC CLASSIFICATION OF NONLINEAR OSCILLATORSEffect of bounded noise on chaotic motion of a triple-well potential systemChaotic motions and fractal basin boundaries in spring-pendulum systemComplex dynamics in Duffing system with two external forcingsChaotic dynamics of Josephson equation driven by constant dc and ac forcingsChaos in mechanical systems -- a reviewChaotic dynamics of the vibro-impact system under bounded noise perturbationGLOBAL AND LOCAL CONTROL OF HOMOCLINIC AND HETEROCLINIC BIFURCATIONSThe behaviour of nonlinear oscillators subjected to ramped forcingPeriodic and chaotic motions of an unsymmetrical oscillator in nonlinear structural dynamicsEffect of random noise on chaotic motion of a particle in a \(\phi^{6}\) potentialComplex dynamics in Duffing-Van der Pol equationEffect of bounded noise on the chaotic motion of a Duffing-Van der Pol oscillator in a \(\phi^{6}\) potential




This page was built for publication: Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits