{"product_id":"regular-and-chaotic-dynamics-clear-expanded-coverage-of-nonlinear","title":"Regular and Chaotic Dynamics - Clear, Expanded Coverage of Nonlinear","description":"\u003cp\u003eIn this review of Regular and Chaotic Dynamics the bottom line is straightforward: this edition is best for graduate students and researchers who want a broad, technically grounded introduction to both Hamiltonian and dissipative nonlinear systems. The reviewer found the book's biggest asset to be its expanded treatment of dissipative dynamics and modern topics such as renormalization and multifractals, which bring balance to the earlier emphasis on physical motion; for readers seeking a unified mathematical view of deterministic chaos, this edition is a worthwhile read.\u003c\/p\u003e\u003ch2\u003eKey Features\u003c\/h2\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eBalanced scope:\u003c\/strong\u003e The book widens its original focus on Hamiltonian dynamics to give substantial coverage of dissipative systems, helping readers understand a broader class of nonlinear behavior.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eExpanded modern topics:\u003c\/strong\u003e New sections on renormalization, circle maps, and intermittency introduce contemporary techniques that connect theory with current research directions.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eDynamical systems examples:\u003c\/strong\u003e Discussion of transient chaos, crises, and coupled mapping systems supplies a range of examples that illuminate abstract concepts through concrete models.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eAccessible mathematical style:\u003c\/strong\u003e The exposition remains mathematically rigorous while clarifying the common usage of updated terminology, aiding readers transitioning from physics to pure dynamics.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eReconstruction and multifractals:\u003c\/strong\u003e Coverage of reconstruction methods and multifractals gives practical tools for analyzing empirical time series and fractal structures.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch2\u003eWho It's For\u003c\/h2\u003e\u003cp\u003eThis book is aimed at advanced undergraduates, graduate students and researchers in applied mathematics, physics, and engineering who need a comprehensive introduction to both regular and chaotic dynamics with a balance between Hamiltonian and dissipative viewpoints. It suits readers who appreciate mathematical rigor combined with illustrative examples and want exposure to topics that bridge older literature and recent developments.\u003c\/p\u003e\u003cp\u003eThose seeking an introductory, nontechnical popular account of chaos or a short textbook for first-year undergraduates may want a different, more elementary treatment; likewise, specialists requiring exhaustive coverage of a single narrow topic should supplement this book with monographs focused on that area.\u003c\/p\u003e\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eExpanded material on dissipative dynamics brings contemporary topics into a classical framework.\u003c\/li\u003e\n\u003cli\u003eClear discussion of renormalization, circle maps and multifractals that connects theory to research-level ideas.\u003c\/li\u003e\n\u003cli\u003eIncludes practical topics like reconstruction and coupled mapping systems useful for data-driven studies.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\u003cli\u003eThe treatment assumes a solid mathematical background, so true beginners may find parts challenging.\u003c\/li\u003e\u003c\/ul\u003e\u003ch2\u003eSpecifications\u003c\/h2\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eRegular and Chaotic Dynamics (Applied Mathematical Sciences)\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eA.J. J. Lichtenberg, M.A. Lieberman\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eScope\u003c\/td\u003e\n\u003ctd\u003eHamiltonian and dissipative dynamics, chaos and related topics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eNew in this edition\u003c\/td\u003e\n\u003ctd\u003eExpanded sections on dissipative dynamics, renormalization, circle maps\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eTopics covered\u003c\/td\u003e\n\u003ctd\u003eIntermittency, crises, transient chaos, multifractals, reconstruction, coupled maps\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eIntended audience\u003c\/td\u003e\n\u003ctd\u003eGraduate students and researchers in applied mathematics and physics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\u003ch2\u003eOur Verdict\u003c\/h2\u003e\u003cp\u003eRegular and Chaotic Dynamics offers valuable, updated coverage that broadens the classical focus to include dissipative systems and several modern topics, making it a strong choice for graduate-level study and research reference. It represents good value for readers who want a rigorous, wide-ranging treatment of nonlinear dynamics rather than a light popular account.\u003c\/p\u003e\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eDoes this edition add new material on dissipative systems?\u003c\/strong\u003e\u003cbr\u003eYes. The new edition expands sections on dissipative dynamics and includes topics such as renormalization and circle maps.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eIs advanced mathematics required to follow the book?\u003c\/strong\u003e\u003cbr\u003eThe exposition is mathematically rigorous and assumes a solid background, so it is best for advanced undergraduates, graduate students, or researchers.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eDoes the book cover practical data methods like reconstruction?\u003c\/strong\u003e\u003cbr\u003eYes. It discusses reconstruction and multifractals, offering methods relevant to empirical time series analysis.\u003c\/p\u003e","brand":"A.J. J. Lichtenberg, M.A. Lieberman","offers":[{"title":"Default Title","offer_id":48123560362203,"sku":"1441931007","price":163.65,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/514OQL3Cy4L._SL1254.jpg?v=1768344494","url":"https:\/\/gearmusthave.com\/products\/regular-and-chaotic-dynamics-clear-expanded-coverage-of-nonlinear","provider":"GearMustHave","version":"1.0","type":"link"}