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دانلود کتاب Bifurcations in Continuous Piecewise Linear Differential Systems: Applications to Low-Dimensional Electronic Oscillators
دانلود کتاب انشعاب ها در سیستم های دیفرانسیل خطی پیوسته تکه ای: کاربرد در نوسان سازهای الکترونیکی با ابعاد پایین
مشخصات کتاب
Bifurcations in Continuous Piecewise Linear Differential Systems: Applications to Low-Dimensional Electronic Oscillators
ویرایش: نویسندگان: Enrique Ponce, Javier Ros, Elísabet Vela سری: RSME Springer Series, 7 ISBN (شابک) : 3031211340, 9783031211348 ناشر: Springer سال نشر: 2022 تعداد صفحات: 316 [317] زبان: English فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود) حجم فایل: 6 Mb
قیمت کتاب (تومان) : 66,000
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توجه داشته باشید کتاب انشعاب ها در سیستم های دیفرانسیل خطی پیوسته تکه ای: کاربرد در نوسان سازهای الکترونیکی با ابعاد پایین نسخه زبان اصلی می باشد و کتاب ترجمه شده به فارسی نمی باشد. وبسایت اینترنشنال لایبرری ارائه دهنده کتاب های زبان اصلی می باشد و هیچ گونه کتاب ترجمه شده یا نوشته شده به فارسی را ارائه نمی دهد.
توضیحاتی در مورد کتاب انشعاب ها در سیستم های دیفرانسیل خطی پیوسته تکه ای: کاربرد در نوسان سازهای الکترونیکی با ابعاد پایین
توضیحاتی درمورد کتاب به خارجی
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.
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.
The second part contains some results on PWL systems in dimension 2, both continuous and discontinuous, and both with two or three regions of linearity. In particular, the focus-center-limit cycle bifurcation and the Hopf-like bifurcation are completely described. The results obtained are then applied to the study of different electronic devices.
In the third part, several results on PWL differential systems in dimension 3 are presented. In particular, the focus-center-limit cycle bifurcation is studied in systems with two and three linear regions, in the latter case with symmetry. Finally, the piecewise linear version of the Hopf-pitchfork bifurcation is introduced. The analysis also includes the study of degenerate situations. Again, the above results are applied to the study of different electronic oscillators.
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