Mathematical Modeling and Analysis of Dynamical Systems
This chapter provides mathematical preliminaries on dynamical systems to enable the readers to visualize the dynamic behavior of physical systems, with an ultimate aim to construct models of emotional dynamics and analyze its stability. It begins with various representational models of dynamical systems, and presents general methods of stability analysis, including phase trajectories and the general method of Lyapunov. The later part of the chapter provides discussion on nonlinear fuzzy systems and its stability analysis. Examples from different domains of problems have been undertaken to develop expertise of the readers in modeling and analysis of emotional dynamics.
KeywordsStability Analysis Lyapunov Exponent Fuzzy System Chaotic Behavior Logical System
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