On the multiple-attractor coexisting system with parameter uncertainties using generalized cell mapping method

DOI10.1007/BF02456639zbMath0937.37059OpenAlexW270153957MaRDI QIDQ1292924

Pu-Lin Gong, Jian-xue Xu

Publication date: 13 June 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02456639

zbMATH Keywords

attractorparameter uncertaintiesgeneralized cell mappingmultiple-attractor coexisting systemprotect thickness

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Bifurcation and chaos analysis of stochastic Duffing system under harmonic excitations ⋮ Bifurcations of forced oscillators with fuzzy uncertainties by the generalized cell mapping method

Cites Work

• Fractal basin boundaries
• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Noise perturbations of a nonlinear system with multiple steady states
• On the dynamic response of nonlinear systems with parameter uncertainties
• Global analysis of a system with multiple responses including a strange attractor
• A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
• Frequency Response Of Linear Systems With Parameter Uncertainties
• GLOBAL ANALYSIS BY CELL MAPPING

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