Description |
1 online resource (xv, 229 pages) : illustrations. |
Physical Medium |
polychrome |
Description |
text file |
Series |
De Gruyter studies in mathematical physics ; 3
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De Gruyter studies in mathematical physics ; 3.
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Bibliography |
Includes bibliographical references and index. |
Contents |
Dynamical systems -- Topologies on spaces of dynamical systems -- Equivalence relations -- Hyperbolic fixed point -- Hyperbolic rest point and hyperbolic closed trajectory -- Transversality -- Hyperbolic sets -- Anosov diffeomorphisms -- Smale's horseshoe and chaos -- Closing lemma -- C0-generic properties of dynamical systems -- Shadowing of pseudotrajectories in dynamical systems. |
Summary |
Dynamical systems are abundant in theoretical physics and engineering. Their understanding, with sufficient mathematical rigor, is vital to solving many problems. This work conveys the modern theory of dynamical systems in a didactically developed fashion. In addition to topological dynamics, structural stability and chaotic dynamics, also generic properties and pseudotrajectories are covered, as well as nonlinearity. The author is an experienced book writer and his work is based on years of teaching. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Dynamics.
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Dynamics. |
Genre/Form |
Electronic books.
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Electronic books.
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Other Form: |
Print version: Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- Spaces of dynamical systems. Berlin ; Boston : De Gruyter, ©2012 9783110255959 (DLC) 2012003495 (OCoLC)761193790 |
ISBN |
9783110258417 (electronic book) |
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3110258412 (electronic book) |
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1280570520 |
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9781280570520 |
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9783110255959 |
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3110255952 |
Standard No. |
9786613600127 |
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