The global analysis of higher order nonlinear dynamical systems and the application of cell-to-cell mapping method

DOI10.1007/BF03250502zbMath0597.58027MaRDI QIDQ1079264

Jian-xue Xu, Chieh-Su Hsu

Publication date: 1985

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

zbMATH Keywords

cell-to-cell mapping methodstable limit cyclesfourth order nonlinear dynamical systemshigher order nonlinear dynamical systems

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Cites Work

• Unnamed Item
• Bifurcation of periodic motions in two weakly coupled van der Pol oscillators
• On forced vibrations of a particle in the plane
• A Theory of Cell-to-Cell Mapping Dynamical Systems
• An Unravelling Algorithm for Global Analysis of Dynamical Systems: An Application of Cell-to-Cell Mappings
• A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
• A Probabilistic Theory of Nonlinear Dynamical Systems Based on the Cell State Space Concept
• A Method of Analyzing Generalized Cell Mappings
• Invariant manifolds

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