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- W1593578268 abstract "This chapter discusses the bifurcation theory of limit cycles of planar systems with relatively simple dynamics. The theory studies the changes of orbital behavior in the phase space, especially the number of limit cycles as one varies the parameters of the system. This theory has been considered by many mathematicians starting with Poincare who first introduced the notion of limit cycles. A fundamental step towards modem bifurcation theory in differential equations occurred with the definition of structural stability and the classification of structurally stable systems. Andronov and Pontryagin introduced the notion of a rough system and presented the necessary and sufficient conditions of roughness for systems on the plane. The chapter concentrates on an in-depth study of limit cycles with general methods of both local and global bifurcations in high codimensional case." @default.
- W1593578268 created "2016-06-24" @default.
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- W1593578268 date "2006-01-01" @default.
- W1593578268 modified "2023-09-23" @default.
- W1593578268 title "Chapter 4 Bifurcation Theory of Limit Cycles of Planar Systems" @default.
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- W1593578268 doi "https://doi.org/10.1016/s1874-5725(06)80008-8" @default.
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