{"product_id":"dynamical-systems-ix-dynamical-systems-with-hyperbolic-behaviour","title":"Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour","description":"\u003cp\u003eOur review of Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour finds it a focused, advanced reference for researchers and graduate students working in the geometric and analytic aspects of dynamical systems. This volume collects rigorous treatments of the \u003cstrong\u003ehyperbolic theory\u003c\/strong\u003e that analyze how families of trajectories behave on compact phase spaces, and it is most valuable to readers who need a deep, mathematically precise account rather than an introductory survey.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eComprehensive focus:\u003c\/strong\u003e The book concentrates on the hyperbolic behaviour of smooth dynamical systems, giving readers a coherent treatment of trajectories that fill significant subsets of phase space.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eRigorous exposition:\u003c\/strong\u003e Chapters present definitions and arguments in a formal style suited to researchers who require precise theorems and proofs about structural stability and hyperbolicity.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eCompact phase space emphasis:\u003c\/strong\u003e The material highlights results that exploit compactness to relate local divergence of trajectories to global constrained dynamics.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eMultiple expert contributors:\u003c\/strong\u003e Contributions by established authors provide varied perspectives on the subject and reflect current research directions in the hyperbolic theory.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eTargeted scope:\u003c\/strong\u003e By focusing on hyperbolic behaviour rather than broad dynamical systems topics, the volume is tightly curated for specialists studying chaotic and saddle-like dynamics.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis volume is aimed at advanced graduate students, postdocs and researchers in mathematics and theoretical physics who work on dynamical systems, ergodic theory, or related areas in differential equations and need a detailed reference on hyperbolic behaviour. It assumes familiarity with smooth dynamics and mathematical rigor, and rewards readers who seek precise statements and proofs rather than heuristic introductions.\u003c\/p\u003e\n\u003cp\u003eBeginners or those looking for an elementary textbook or broad survey of dynamical systems should look elsewhere; this is not designed as a first course text or casual reading. Readers needing computational examples or extensive numerical illustrations will find the emphasis theoretical rather than experimental.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eDeep, rigorous coverage of hyperbolic behaviour useful for research and reference.\u003c\/li\u003e\n\u003cli\u003eFocus on compact phase spaces clarifies how local divergence leads to constrained global dynamics.\u003c\/li\u003e\n\u003cli\u003eContributions by multiple experts provide a range of technical approaches and insights.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eHighly technical presentation limits accessibility to non-specialists or casual readers.\u003c\/li\u003e\n\u003cli\u003eNot intended as a practical or computational guide, so applied users seeking numerical examples may be disappointed.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eDynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eEncyclopaedia of Mathematical Sciences, 66\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eContributors\u003c\/td\u003e\n\u003ctd\u003eD.V. Anosov; G.G. Gould; S.K. Aranson; V.Z. Grines; R.V. Plykin; A.V. Safonov; E.A. Sataev; S.V. Shlyachkov; V.V. Solodov; A.N. Starkov; A.M. Stepin\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSubject\u003c\/td\u003e\n\u003ctd\u003eHyperbolic theory of smooth dynamical systems\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eScope\u003c\/td\u003e\n\u003ctd\u003eTheory of trajectories and behaviour on compact phase spaces\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eFor specialists in dynamical systems who need a rigorous reference on hyperbolic behaviour, this volume offers concentrated, high-quality treatments and is good value as a research resource. Those seeking introductory material or computational guidance should consider alternative texts, but researchers will appreciate its depth and precision.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIs this book suitable for beginners?\u003c\/strong\u003e\u003cbr\u003eNo. The book is written for advanced readers already versed in smooth dynamical systems and rigorous mathematical proofs.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes it include computational examples?\u003c\/strong\u003e\u003cbr\u003eThe emphasis is theoretical; readers should not expect extensive numerical examples or applied computation sections.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWho are the authors and contributors?\u003c\/strong\u003e\u003cbr\u003eThe volume includes work by a number of specialists, including D.V. Anosov and collaborators listed in the contributors section, reflecting expert perspectives on hyperbolic dynamics.\u003c\/p\u003e","brand":"D.V. Anosov, G.G. Gould, S.K. Aranson, V.Z. Grines, R.V. Plykin, A.V. Safonov, E.A. Sataev, S.V. Shlyachkov, V.V. Solodov, A.N. Starkov, A.M. Stepin","offers":[{"title":"Default Title","offer_id":48256392691931,"sku":"3642081681","price":91.36,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/619QjlRU7RL._SL1252.jpg?v=1776358893","url":"https:\/\/gearmusthave.com\/products\/dynamical-systems-ix-dynamical-systems-with-hyperbolic-behaviour","provider":"GearMustHave","version":"1.0","type":"link"}