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- W4316372417 abstract "The equilibrium state of a dynamical system can be divided into the equilibrium point and limit cycle. In this paper, the stability analysis of the equilibrium point and limit cycle of dynamical systems are presented through different and all possible approaches, and those approaches are compared as well. In particular, the author presented the stability analysis of the equilibrium point through phase plane approach, Lyapunov–LaSalle energy-based approach, and linearization approach, respectively, for two-dimensional nonlinear system, while the stability analysis of the limit cycle is analyzed by using the LaSalle local invariant set theorem and Poincaré–Bendixson theorem, which is only valid in two-dimensional systems. Different case studies are used to demonstrate the stability analysis of equilibrium point and limit cycle." @default.
- W4316372417 created "2023-01-16" @default.
- W4316372417 creator A5034269796 @default.
- W4316372417 date "2023-01-14" @default.
- W4316372417 modified "2023-09-30" @default.
- W4316372417 title "Stability Analysis of Equilibrium Point and Limit Cycle of Two-Dimensional Nonlinear Dynamical Systems—A Tutorial" @default.
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- W4316372417 doi "https://doi.org/10.3390/app13021136" @default.
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