Prediction of horseshoe chaos in BVP and DVP oscillators

DOI10.1016/0960-0779(92)90036-MzbMath0768.58032OpenAlexW1966346090MaRDI QIDQ1208385

S. Singh

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0960-0779(92)90036-m

zbMATH Keywords

oscillatorshorseshoe chaosMelnikov's function

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Resonant oscillation and homoclinic bifurcation in a \(\Phi^{6}\)-van der Pol oscillator ⋮ Invariant manifolds of the Bonhoeffer-van der Pol oscillator ⋮ Transition to chaos in the self-excited system with a cubic double well potential and parametric forcing ⋮ On the occurrence of chaos in a parametrically driven extended Rayleigh oscillator with three-well potential ⋮ EFFECT OF GAUSSIAN WHITE NOISE ON THE DYNAMICAL BEHAVIORS OF AN EXTENDED DUFFING–VAN DER POL OSCILLATOR ⋮ Bifurcations and chaos in two-coupled periodically driven four-well Duffing-van der Pol oscillators ⋮ Master-slave synchronization in the Duffing-van der Pol and \(\Phi^6\) Duffing oscillators ⋮ Resonance behaviour and jump phenomenon in a two coupled Duffing-van der Pol oscillators ⋮ Control of chaotic behavior in the dynamics of generalized Bonhoeffer-van der Pol system: effect of asymmetric parameter ⋮ SUPPRESSING CHAOS FOR SOME NONLINEAR OSCILLATORS ⋮ SOME NEW METHODS TO SUPPRESS CHAOS FOR A KIND OF NONLINEAR OSCILLATOR ⋮ CHAOS BEHAVIOR IN THE DISCRETE BVP OSCILLATOR ⋮ Algorithms for controlling chaotic motion: Application for the BVP oscillator ⋮ Resonance oscillation and transition to chaos in \(\phi^8\)-Duffing-van der Pol oscillator ⋮ Complex dynamics in Duffing-Van der Pol equation ⋮ Effect of bounded noise on the chaotic motion of a Duffing-Van der Pol oscillator in a \(\phi^{6}\) potential ⋮ Chaos behavior in the discrete Fitzhugh nerve system ⋮ Dynamical structure functions at critical bifurcations in a Bonhoeffer-van der Pol equation.

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Determining Lyapunov exponents from a time series
• Measuring the strangeness of strange attractors
• ``Horseshoe chaos in the space-independent double sine-Gordon system
• Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer-van der Pol oscillator
• Crises, sudden changes in chaotic attractors, and transient chaos

This page was built for publication: Prediction of horseshoe chaos in BVP and DVP oscillators