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Titlebook: An Introduction to Dynamical Systems and Chaos; G. C. Layek Textbook 2024Latest edition The Editor(s) (if applicable) and The Author(s), u

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发表于 2025-3-21 16:53:51 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Dynamical Systems and Chaos
影响因子2023G. C. Layek
视频video
发行地址Discusses continuous and discrete nonlinear systems by using a systematic, sequential and logical approach.Presents solved examples with physical explanations of oscillations, bifurcations, Lie symmet
学科分类University Texts in the Mathematical Sciences
图书封面Titlebook: An Introduction to Dynamical Systems and Chaos;  G. C. Layek Textbook 2024Latest edition The Editor(s) (if applicable) and The Author(s), u
影响因子.This book discusses continuous and discrete nonlinear systems in systematic and sequential approaches. The unique feature of the book is its mathematical theories on flow bifurcations, nonlinear oscillations, Lie symmetry analysis of nonlinear systems, chaos theory, routes to chaos and multistable coexisting attractors. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, featuring a multitude of detailed worked-out examples alongside comprehensive exercises. The book is useful for courses in dynamical systems and chaos and nonlinear dynamics for advanced undergraduate, graduate and research students in mathematics, physics and engineering. ..The second edition of the book is thoroughly revised and includes several new topics: center manifold reduction, quasi-periodic oscillations, Bogdanov–Takens, periodbubbling and Neimark–Sacker bifurcations, and dynamics on circle. The organized structures in bi-parameter plane for transitional and chaotic regimes are new active research interest and explored thoroughly. The connections of complex chaotic attractors with fractals ca
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发表于 2025-3-21 22:58:13 | 显示全部楼层
https://doi.org/10.1007/978-3-662-41370-8conjugacy relation, the transformation should be a homeomorphism (1–1, onto, bi-continuous), so that some topological structures are preserved. Naturally, it is a useful and also a wise trick to find conjugacy between a map and a simple map. Besides conjugacy, the concept of semi-conjugacy is also u
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Das statisch bestimmte Stabwerk,re is a loss of information or loss of predictability in chaotic motion, and so several quantifying measures are discussed. For example, the quantitative measure of the strangeness of a strange attractor is its fractal dimension. On the other hand, the boundary between chaotic/turbulence and regular
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Conjugacy of Maps,conjugacy relation, the transformation should be a homeomorphism (1–1, onto, bi-continuous), so that some topological structures are preserved. Naturally, it is a useful and also a wise trick to find conjugacy between a map and a simple map. Besides conjugacy, the concept of semi-conjugacy is also u
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University Texts in the Mathematical Scienceshttp://image.papertrans.cn/a/image/155224.jpg
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Das extrapyramidal-motorische System,tremely useful for analyzing nonlinear systems. The main emphasis is given for finding solutions of linear systems with constant coefficients so that the solution methods could be extended to higher-dimensional systems easily. The eigenvalue-eigenvector method and the fundamental matrix method have
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