Understanding Dynamics of Infinite-Equilibrium Systems via a Quadratic Nonlinear System
DOI:
https://doi.org/10.5890/JVTSD.2021.06.003Abstract
This paper presented the dynamics of an infinite-equilibrium system based on a quadratic oscillator. equilibria, stability and singularity of such an infinite equilibrium system are discussed through the local analysis, and numerical studies of the periodically perturbed infinite-equilibrium systems are completed. The infinite-equilibrium boundaries in infinite-equilibrium systems can be artificially designed to control motions in the corresponding non-infinite-equilibrium systems. Through this study, one can have a better understanding of dynamics of infinite-equilibrium nonlinear systems. The authors believe infinite-equilibrium systems will have extensive applications in science and engineering.References
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