The Resource The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin
The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin
Resource Information
The item The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- This book is an introduction to main methods and principal results in the theory of Co(remark: o is upper index!!)-small perturbations of dynamical systems. It is the first comprehensive treatment of this topic. In particular, Co(upper index!)-generic properties of dynamical systems, topological stability, perturbations of attractors, limit sets of domains are discussed. The book contains some new results (Lipschitz shadowing of pseudotrajectories in structurally stable diffeomorphisms for instance). The aim of the author was to simplify and to "visualize" some basic proofs, so the main part of the book is accessible to graduate students in pure and applied mathematics. The book will also be a basic reference for researchers in various fields of dynamical systems and their applications, especially for those who study attractors or pseudotrajectories generated by numerical methods
- Language
- eng
- Extent
- 1 online resource (viii, 188 pages)
- Contents
-
- Ch. 0. Definitions and Preliminary Results. 0.1. Spaces of Dynamical Systems. 0.2. The Space M[superscript *]. 0.3. The C[superscript 0]-Closing Lemma. 0.4. Hyperbolic Sets
- Ch. 1. Generic Properties of Dynamical Systems. 1.1. Tolerance Stability. 1.2. Pseudotrajectories. 1.3. Prolongations. 1.4. Returning Points and Filtrations
- Ch. 2. Topological Stability. 2.1. General Properties of Topologically Stable Systems. 2.2. Topological Stability of Systems with Hyperbolic Structure. 2.3. Topologically Stable Dynamical Systems on the Circle
- Isbn
- 9783540483144
- Label
- The space of dynamical systems with the C0-topology
- Title
- The space of dynamical systems with the C0-topology
- Statement of responsibility
- Sergei Yu. Pilyugin
- Language
- eng
- Summary
- This book is an introduction to main methods and principal results in the theory of Co(remark: o is upper index!!)-small perturbations of dynamical systems. It is the first comprehensive treatment of this topic. In particular, Co(upper index!)-generic properties of dynamical systems, topological stability, perturbations of attractors, limit sets of domains are discussed. The book contains some new results (Lipschitz shadowing of pseudotrajectories in structurally stable diffeomorphisms for instance). The aim of the author was to simplify and to "visualize" some basic proofs, so the main part of the book is accessible to graduate students in pure and applied mathematics. The book will also be a basic reference for researchers in various fields of dynamical systems and their applications, especially for those who study attractors or pseudotrajectories generated by numerical methods
- Action
- digitized
- Cataloging source
- SPLNM
- http://library.link/vocab/creatorDate
- 1947-
- http://library.link/vocab/creatorName
- Pilyugin, Sergei Yu.
- Dewey number
- 515.39
- Illustrations
- illustrations
- Index
- index present
- LC call number
-
- QA3
- QA614.87
- LC item number
- .L28 no. 1571
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- Lecture notes in mathematics,
- Series volume
- 1571
- http://library.link/vocab/subjectName
-
- Differentiable dynamical systems
- Perturbation (Mathematics)
- Stability
- Differentiable dynamical systems
- Perturbation (Mathematics)
- Stability
- Gewone differentiaalvergelijkingen
- Manifolds
- Label
- The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin
- Bibliography note
- Includes bibliographical references (pages 183-186) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Ch. 0. Definitions and Preliminary Results. 0.1. Spaces of Dynamical Systems. 0.2. The Space M[superscript *]. 0.3. The C[superscript 0]-Closing Lemma. 0.4. Hyperbolic Sets -- Ch. 1. Generic Properties of Dynamical Systems. 1.1. Tolerance Stability. 1.2. Pseudotrajectories. 1.3. Prolongations. 1.4. Returning Points and Filtrations -- Ch. 2. Topological Stability. 2.1. General Properties of Topologically Stable Systems. 2.2. Topological Stability of Systems with Hyperbolic Structure. 2.3. Topologically Stable Dynamical Systems on the Circle
- Control code
- 298705298
- Dimensions
- unknown
- Extent
- 1 online resource (viii, 188 pages)
- Form of item
- online
- Isbn
- 9783540483144
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other physical details
- illustrations.
- Reproduction note
- Electronic reproduction.
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)298705298
- System details
- Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
- Label
- The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin
- Bibliography note
- Includes bibliographical references (pages 183-186) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Ch. 0. Definitions and Preliminary Results. 0.1. Spaces of Dynamical Systems. 0.2. The Space M[superscript *]. 0.3. The C[superscript 0]-Closing Lemma. 0.4. Hyperbolic Sets -- Ch. 1. Generic Properties of Dynamical Systems. 1.1. Tolerance Stability. 1.2. Pseudotrajectories. 1.3. Prolongations. 1.4. Returning Points and Filtrations -- Ch. 2. Topological Stability. 2.1. General Properties of Topologically Stable Systems. 2.2. Topological Stability of Systems with Hyperbolic Structure. 2.3. Topologically Stable Dynamical Systems on the Circle
- Control code
- 298705298
- Dimensions
- unknown
- Extent
- 1 online resource (viii, 188 pages)
- Form of item
- online
- Isbn
- 9783540483144
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other physical details
- illustrations.
- Reproduction note
- Electronic reproduction.
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)298705298
- System details
- Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/The-space-of-dynamical-systems-with-the/NYULZXshSmQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/The-space-of-dynamical-systems-with-the/NYULZXshSmQ/">The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
