Global analysis of crisis in twin-well Duffing system under harmonic excitation in presence of noise

DOI10.1016/j.chaos.2004.03.040zbMath1088.37518OpenAlexW2086202267MaRDI QIDQ1772640

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

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.03.040

zbMATH Keywords

chaotic attractorsharmonic excitationcell mappingchaotic saddlesdigraph methodevolution of a crisisnoisy catastrophic crisisnoisy crisisnoisy explosive crisistwin-well Duffing system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) White noise theory (60H40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (4)

First-passage failure of strongly nonlinear oscillators under combined harmonic and real noise excitations ⋮ Global bifurcations in fractional-order chaotic systems with an extended generalized cell mapping method ⋮ Global analyses of crisis and stochastic bifurcation in the hardening Helmholtz-Duffing oscillator ⋮ Bifurcations of forced oscillators with fuzzy uncertainties by the generalized cell mapping method

Cites Work

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• 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 Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis
• A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
• 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
• GLOBAL ANALYSIS OF STOCHASTIC BIFURCATION IN DUFFING SYSTEM
• Crises, sudden changes in chaotic attractors, and transient chaos

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