Abstract
In this chapter, the stability and bifurcation of periodic flows in a switching system of multiple subsystems with transport laws at switching points is presented. The periodic flows and stability for linear switching systems are discussed as an example. Analytical prediction of the periodic flow in such linear switching systems is carried out and parameter maps of stability are given. The methodology presented in this chapter can be applied to nonlinear switching systems. The further results on chaos, stability, and bifurcation of periodic flows in nonlinear switching systems will be presented in sequel.
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Luo, A.C.J., Wang, Y. (2010). On Periodic Flows of a 3-D Switching System with Many Subsystems. In: Luo, A. (eds) Dynamical Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5754-2_16
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DOI: https://doi.org/10.1007/978-1-4419-5754-2_16
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