GLOBAL ANALYSIS OF STOCHASTIC BIFURCATION IN DUFFING SYSTEM

DOI10.1142/S021812740300848XzbMath1078.37512OpenAlexW1985289520MaRDI QIDQ4669032

Qun He, Wei Xu, Tong Fang, Hai-Wu Rong

Publication date: 15 April 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812740300848x

zbMATH Keywords

global analysisDuffing systemStochastic bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (13)

Stochastic response and bifurcation of periodically driven nonlinear oscillators by the generalized cell mapping method ⋮ Analysis of period-doubling bifurcation in double-well stochastic Duffing system via Laguerre polynomial approximation ⋮ Extinction time of a stochastic predator-prey model by the generalized cell mapping method ⋮ BIFURCATIONS OF A FORCED DUFFING OSCILLATOR IN THE PRESENCE OF FUZZY NOISE BY THE GENERALIZED CELL MAPPING METHOD ⋮ Bifurcation dynamics of the tempered fractional Langevin equation ⋮ Global Analysis of Stochastic Systems by the Digraph Cell Mapping Method Based on Short-Time Gaussian Approximation ⋮ Global analysis of crisis in twin-well Duffing system under harmonic excitation in presence of noise ⋮ Global analyses of crisis and stochastic bifurcation in the hardening Helmholtz-Duffing oscillator ⋮ Fractional noise destroys or induces a stochastic bifurcation ⋮ STOCHASTIC BIFURCATION OF AN ASYMMETRIC SINGLE-WELL POTENTIAL DUFFING OSCILLATOR UNDER BOUNDED NOISE EXCITATION ⋮ On the Data-Driven Generalized Cell Mapping Method ⋮ Improved generalized cell mapping for global analysis of dynamical systems ⋮ Transient probability in basins of noise influenced responses of mono and coupled Duffing oscillators

Cites Work

• Stochastic Hopf bifurcation of quasi-nonintegrable-Hamiltonian systems
• Determining Lyapunov exponents from a time series
• Additive noise destroys a pitchfork bifurcation
• Noise and bifurcations.
• Crises and chaotic transients studied by the generalized cell mapping digraph method
• A higher order method of interpolated cell mapping
• A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis
• A Theory of Cell-to-Cell Mapping Dynamical Systems
• Stochastic Jump and Bifurcation of a Duffing Oscillator Under Narrow-Band Excitation
• GLOBAL ANALYSIS BY CELL MAPPING
• GLOBAL ANALYSIS OF DYNAMICAL SYSTEMS USING POSETS AND DIGRAPHS
• Using Generalized Cell Mapping to Approximate Invariant Measures on Compact Manifolds
• Noise-Induced Transitions in Weakly Nonlinear Oscillators Near Resonance
• DEGENERATED HOPF BIFURCATIONS IN A STOCHASTICALLY DISTURBED NON-LINEAR SYSTEM
• DISCONTINUOUS BIFURCATIONS OF CHAOTIC ATTRACTORS IN FORCED OSCILLATORS BY GENERALIZED CELL MAPPING DIGRAPH (GCMD) METHOD
• Stochastic bifurcation

This page was built for publication: GLOBAL ANALYSIS OF STOCHASTIC BIFURCATION IN DUFFING SYSTEM