{"product_id":"geometric-singular-perturbation-theory-beyond-the-standard-form-9783030363987","title":"Geometric Singular Perturbation Theory Beyond the Standard Form","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT).\u003c\/p\u003e  \u003cp\u003eIt is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems \u003ci\u003ebeyond the standard form\u003c\/i\u003e. \u003c\/p\u003e  \u003cp\u003eThe contents cover a general framework for this \u003ci\u003eGSPT beyond the standard form \u003c\/i\u003eincluding \u003ci\u003ecanard theory\u003c\/i\u003e, concrete applications, and instructive qualitative models. It contains many illustrations and key pointers to the existing literature. The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view. \u003c\/p\u003e  \u003cp\u003eMartin Wechselberger is Professor at the School of Mathematics \u0026amp; Statistics, University of Sydney, Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales.\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- Motivating examples.- A coordinate-independent setup for GSPT.- Loss of normal hyperbolicity.- Relaxation oscillations in the general setting.- Pseudo singularities \u0026amp; canards.- What we did not discuss.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":51742845174103,"sku":"9783030363987","price":54.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030363987.jpg?v=1758386977","url":"https:\/\/bookcurl.com\/products\/geometric-singular-perturbation-theory-beyond-the-standard-form-9783030363987","provider":"Book Curl","version":"1.0","type":"link"}