Global Analysis of Stochastic Systems by the Digraph Cell Mapping Method Based on Short-Time Gaussian Approximation

DOI10.1142/S0218127420500716zbMath1457.60109OpenAlexW3021117675MaRDI QIDQ5114582

Xiaole Yue, Qun Han, Wei Xu, Huibing Hao

Publication date: 24 June 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127420500716

zbMATH Keywords

global analysisshort-time Gaussian approximationstochastic attractorstochastic basin of attractiondigraph cell mapping method

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
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• A new procedure for exploring chaotic attractors in nonlinear dynamical systems under random excitations
• Melnikov chaos in a periodically driven Rayleigh-Duffing oscillator
• Analysis of global properties for dynamical systems by a modified digraph cell mapping method
• Stochastic response and bifurcations of a dry friction oscillator with periodic excitation based on a modified short-time Gaussian approximation scheme
• Cumulant neglect closure for nonlinear oscillators under random parametric and external excitations
• Stochastic bifurcation in Duffing system subject to harmonic excitation and in presence of random noise
• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Global bifurcations and chaos. Analytical methods
• Stochastic response and bifurcation of periodically driven nonlinear oscillators by the generalized cell mapping method
• The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a switching manifold
• Noise-induced chaos and phase space flux
• Stochastic optimal control of nonlinear systems via short-time Gaussian approximation and cell mapping
• Crises and chaotic transients studied by the generalized cell mapping digraph method
• Clustered simple cell mapping: an extension to the simple cell mapping method
• Noise induced transitions and topological study of a periodically driven system
• Seamless variation of isometric and anisometric dynamical integrity measures in basins's erosion
• An efficient parallel implementation of cell mapping methods for MDOF systems
• ANALYSIS OF RANDOM DYNAMICAL SYSTEMS BY INTERPOLATED CELL MAPPING
• 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
• GLOBAL ANALYSIS OF DYNAMICAL SYSTEMS USING POSETS AND DIGRAPHS
• Stochastic basins of attraction for metastable states
• Global bifurcations in fractional-order chaotic systems with an extended generalized cell mapping method
• Studying the Global Bifurcation Involving Wada Boundary Metamorphosis by a Method of Generalized Cell Mapping with Sampling-Adaptive Interpolation
• GLOBAL ANALYSIS OF STOCHASTIC BIFURCATION IN DUFFING SYSTEM
• Crises, sudden changes in chaotic attractors, and transient chaos