Stochastic response and bifurcation of periodically driven nonlinear oscillators by the generalized cell mapping method

DOI10.1016/j.physa.2016.04.006zbMath1400.60090OpenAlexW2339677515MaRDI QIDQ1619655

Wei Xu, Qun Han, Jian-Qiao Sun

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2016.04.006

zbMATH Keywords

SD oscillatorstochastic bifurcationgeneralized cell mapping methodperiodic forceshort-time Gaussian approximation

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Generation, random and stochastic difference and differential equations (37H10)

Related Items (9)

Extinction time of a stochastic predator-prey model by the generalized cell mapping method ⋮ The response analysis of fractional-order stochastic system via generalized cell mapping method ⋮ Stochastic P-Bifurcation Analysis of Fractional Smooth and Discontinuous Oscillator with an Extended Fast Method ⋮ Dynamic response and bifurcation for Rayleigh-Liénard oscillator under multiplicative colored noise ⋮ Global Analysis of Stochastic Systems by the Digraph Cell Mapping Method Based on Short-Time Gaussian Approximation ⋮ Studying the Global Bifurcation Involving Wada Boundary Metamorphosis by a Method of Generalized Cell Mapping with Sampling-Adaptive Interpolation ⋮ Stochastic global stability and bifurcation of a hydro-turbine generator ⋮ On the Data-Driven Generalized Cell Mapping Method ⋮ Stochastic response and bifurcations of a dry friction oscillator with periodic excitation based on a modified short-time Gaussian approximation scheme

Cites Work

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• First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method
• Cumulant neglect closure for nonlinear oscillators under random parametric and external excitations
• Bifurcations of forced oscillators with fuzzy uncertainties by the generalized cell mapping method
• Response statistic of strongly non-linear oscillator to combined deterministic and random excitation
• The Fokker-Planck equation. Methods of solution and applications.
• Numerical quadrature and solution of ordinary differential equations. A textbook for a beginning course in numerical analysis
• A new path integration procedure based on Gauss-Legendre scheme
• Stochastic response of a \(\phi^6\) oscillator subjected to combined harmonic and Poisson white noise excitations
• Discrete dynamical systems
• Crises and chaotic transients studied by the generalized cell mapping digraph method
• The codimension-two bifurcation for the recent proposed SD oscillator
• Noise-induced chaos in Duffing oscillator with double wells
• First-passage time probability of non-linear stochastic systems by generalized cell mapping method
• STOCHASTIC AVERAGING OF STRONGLY NON-LINEAR OSCILLATORS UNDER COMBINED HARMONIC AND WHITE-NOISE EXCITATIONS
• Global Bifurcation Analysis of a Duffing–Van der Pol Oscillator with Parametric Excitation
• Cumulant-Neglect Closure Method for Nonlinear Systems Under Random Excitations
• A Statistical Study of Generalized Cell Mapping
• A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
• GLOBAL ANALYSIS OF STOCHASTIC BIFURCATION IN DUFFING SYSTEM
• Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics

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