Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1995
|
| Series: | Encyclopaedia of Mathematical Sciences
66 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The book deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out "large subsets" of the phase space. Such systems lead to complicated motion (so-called "chaos"). The book begins with a discussion of the topological manifestations of uniform and total hyperbolicity: hyperbolic sets, Smale's Axiom A, structurally stable systems, Anosov systems, and hyperbolic attractors of dimension or codimension one. There are various modifications of hyperbolicity and in this connection the properties of Lorenz attractors, pseudo-analytic Thurston diffeomorphisms, and homogeneous flows with expanding and contracting foliations are investigated. These last two questions are discussed in the general context of the theory of homeomorphisms of surfaces and of homogeneous flows |
| Physical Description: | 1 Online-Ressource (VIII, 236 p) |
| ISBN: | 9783662031728 9783642081682 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-662-03172-8 |
Staff View
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| 245 | 1 | 0 | |a Dynamical Systems IX |b Dynamical Systems with Hyperbolic Behaviour |c edited by D. V. Anosov |
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| 500 | |a The book deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out "large subsets" of the phase space. Such systems lead to complicated motion (so-called "chaos"). The book begins with a discussion of the topological manifestations of uniform and total hyperbolicity: hyperbolic sets, Smale's Axiom A, structurally stable systems, Anosov systems, and hyperbolic attractors of dimension or codimension one. There are various modifications of hyperbolicity and in this connection the properties of Lorenz attractors, pseudo-analytic Thurston diffeomorphisms, and homogeneous flows with expanding and contracting foliations are investigated. These last two questions are discussed in the general context of the theory of homeomorphisms of surfaces and of homogeneous flows | ||
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| 650 | 4 | |a Mathematical Methods in Physics | |
| 650 | 4 | |a Numerical and Computational Physics | |
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Record in the Search Index
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| discipline | Mathematik |
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| id | DE-604.BV042423241 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662031728 9783642081682 |
| issn | 0938-0396 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858658 |
| oclc_num | 863903689 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (VIII, 236 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Encyclopaedia of Mathematical Sciences |
| spelling | Anosov, D. V. Verfasser aut Dynamical Systems IX Dynamical Systems with Hyperbolic Behaviour edited by D. V. Anosov Berlin, Heidelberg Springer Berlin Heidelberg 1995 1 Online-Ressource (VIII, 236 p) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of Mathematical Sciences 66 0938-0396 The book deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out "large subsets" of the phase space. Such systems lead to complicated motion (so-called "chaos"). The book begins with a discussion of the topological manifestations of uniform and total hyperbolicity: hyperbolic sets, Smale's Axiom A, structurally stable systems, Anosov systems, and hyperbolic attractors of dimension or codimension one. There are various modifications of hyperbolicity and in this connection the properties of Lorenz attractors, pseudo-analytic Thurston diffeomorphisms, and homogeneous flows with expanding and contracting foliations are investigated. These last two questions are discussed in the general context of the theory of homeomorphisms of surfaces and of homogeneous flows Mathematics Topological Groups Cell aggregation / Mathematics Mathematical physics Manifolds and Cell Complexes (incl. Diff.Topology) Real Functions Topological Groups, Lie Groups Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik https://doi.org/10.1007/978-3-662-03172-8 Verlag Volltext |
| spellingShingle | Anosov, D. V. Dynamical Systems IX Dynamical Systems with Hyperbolic Behaviour Mathematics Topological Groups Cell aggregation / Mathematics Mathematical physics Manifolds and Cell Complexes (incl. Diff.Topology) Real Functions Topological Groups, Lie Groups Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik |
| title | Dynamical Systems IX Dynamical Systems with Hyperbolic Behaviour |
| title_auth | Dynamical Systems IX Dynamical Systems with Hyperbolic Behaviour |
| title_exact_search | Dynamical Systems IX Dynamical Systems with Hyperbolic Behaviour |
| title_full | Dynamical Systems IX Dynamical Systems with Hyperbolic Behaviour edited by D. V. Anosov |
| title_fullStr | Dynamical Systems IX Dynamical Systems with Hyperbolic Behaviour edited by D. V. Anosov |
| title_full_unstemmed | Dynamical Systems IX Dynamical Systems with Hyperbolic Behaviour edited by D. V. Anosov |
| title_short | Dynamical Systems IX |
| title_sort | dynamical systems ix dynamical systems with hyperbolic behaviour |
| title_sub | Dynamical Systems with Hyperbolic Behaviour |
| topic | Mathematics Topological Groups Cell aggregation / Mathematics Mathematical physics Manifolds and Cell Complexes (incl. Diff.Topology) Real Functions Topological Groups, Lie Groups Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik |
| topic_facet | Mathematics Topological Groups Cell aggregation / Mathematics Mathematical physics Manifolds and Cell Complexes (incl. Diff.Topology) Real Functions Topological Groups, Lie Groups Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik |
| url | https://doi.org/10.1007/978-3-662-03172-8 |
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