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Bifurcations in Continuous Piecewise Linear Differential Systems: Applications to Low-Dimensional Electronic Oscillators (RSME Springer Series, 7) free ebook download

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Author(s):	Enrique Ponce

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	3031211340
Pages:	326	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	12/20/2022 5:21:42 AM

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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.
The work is divided into three parts. The first part motivates the study of PWL differential systems as the natural next step towards dynamic complexity when starting from linear differential systems. The nomenclature and some general results for PWL systems in arbitrary dimensions are introduced. In particular, a minimal representation of PWL systems, called canonical form, is presented, as well as the closing equations, which are fundamental tools for the subsequent study of periodic orbits.
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3162556	Book	https://nitroflare.com/view/F7B97EF50C1F...		0.00	alex21s

Tags: Applications Bifurcations Continuous Differential Electronic Linear Low-Dimensional Oscillators Piecewise Systems

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Bifurcations in Continuous Piecewise Linear Differential Systems: Applications to Low-Dimensional Electronic Oscillators (RSME Springer Series, 7) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics