Bifurcations in Continuous Piecewise Linear Differential Systems
Bifurcations in Continuous Piecewise Linear Differential Systems:
Applications to Low-Dimensional Electronic Oscillators
English | 2022 | ISBN: 3031211340 | 326 Pages | PDF EPUB (True) | 19 MB
Applications to Low-Dimensional Electronic Oscillators
English | 2022 | ISBN: 3031211340 | 326 Pages | PDF EPUB (True) | 19 MB
The book is devoted to the qualitative study of differential equations defined by piecewise linear (PWL) vector fields, mainly continuous, and presenting two or three regions of linearity. The study focuses on the more common bifurcations that PWL differential systems can undergo, with emphasis on those leading to limit cycles. Similarities and differences with respect to their smooth counterparts are considered and highlighted. Regarding the dimensionality of the addressed problems, some general results in arbitrary dimensions are included. The manuscript mainly addresses specific aspects in PWL differential systems of dimensions 2 and 3, which are sufficinet for the analysis of basic electronic oscillators.