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Titlebook: Elements of Applied Bifurcation Theory; Yuri A. Kuznetsov Book 2023Latest edition The Editor(s) (if applicable) and The Author(s), under e

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书目名称Elements of Applied Bifurcation Theory
编辑Yuri A. Kuznetsov
视频video
概述Center manifold reduction & computation of normal forms is applied; normal forms for bifurcations of limit cycles.More results on topological equivalence of scalar maps are given.Techniques to study d
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Elements of Applied Bifurcation Theory;  Yuri A. Kuznetsov Book 2023Latest edition The Editor(s) (if applicable) and The Author(s), under e
描述. This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations.. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. .This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis.. From reviews of earlier editions:. "I know of no other book that so clearly explains the basic phenomena of bifurcation theory." - .Math Reviews. "The book is a fine addition to the dynamical syst
出版日期Book 2023Latest edition
关键词Mathematica; applied mathematics; bifurcation; dynamical systems; numerical analysis; numerical method; st
版次4
doihttps://doi.org/10.1007/978-3-031-22007-4
isbn_softcover978-3-031-22009-8
isbn_ebook978-3-031-22007-4Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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,Hungarian Health Care: Women’s Health,dependent version of the Center Manifold Theorem and Theorem . (see Chap. .). We close this chapter with the derivation of the critical normal form coefficients for all codim 2 bifurcations using a combined reduction/normalization technique.
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0066-5452 l equivalence of scalar maps are given.Techniques to study d. This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical re
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W. Schlegel,L. R. Schad,K. K. Herfarthto the more abstract notion of structural stability. In this chapter we will be dealing only with dynamical systems in the state space .. We would like to study general (qualitative) features of the behavior of dynamical systems, in particular, to classify possible types of their behavior and compare the behavior of different dynamical systems.
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Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems,to the more abstract notion of structural stability. In this chapter we will be dealing only with dynamical systems in the state space .. We would like to study general (qualitative) features of the behavior of dynamical systems, in particular, to classify possible types of their behavior and compare the behavior of different dynamical systems.
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