Titlebook: Bifurcation and Chaos in Engineering; Yushu Chen,Andrew Y. T. Leung Book 1998 Springer-Verlag London Limited 1998 Vibration.algorithms.cal

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Candace S. Bos,Patricia L. Anderscs of the solutions, such as the number of solutions, the type and periodicity of the solutions and, more importantly, the existence of chaotic solutions, are of great interest in a physical parametric space. The boundaries separating qualitatively different solutions in a physical parametric space,

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Chronological

Dynamical Systems, Ordinary Differential Equations and Stability of Motion, important properties by means of examples. Sections 1.4 and 1.6 discuss the important properties of the limit set in plane, especially the Poincaré-Bendixson theorem and its application. Also touched on are the basic concepts of initial value problems in ordinary differential equations and the basic concepts of Liapunov’s stability of motion.

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預(yù)測

Calculation of Flows, with the algebric characteristics and calculations of linear flows in section 2.2. Section 2.3 discusses linearly hyperbolic flows and their classification. Section 2.4 deals with calculations of local flows of non-linear system. Finally, we introduce the stable manifold theorem.

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