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The user's approach to topological methods in 3d dynamical systems / Mario A. Natiello, Hernan G. Solari.

EBSCOhost Academic eBook Collection (North America) Available online

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Format:
Book
Author/Creator:
Natiello, M. A. (Mario A.)
Contributor:
Solari, H. G. (Hernán G.)
Language:
English
Subjects (All):
Topological dynamics.
Dimension theory (Topology).
Physical Description:
1 online resource (142 p.)
Edition:
1st ed.
Place of Publication:
Singapore ; Hackensack, NJ : World Scientific, c2007.
Language Note:
English
Summary:
This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects). The aim is to emphasize the scope and limitations of the methods, what they provide and what they do not provide. Braid theory, the topology of surface homeomorphisms, data analysis and the reconstruction of phase-space dynamics are thoroughly addressed.
Contents:
1. A crisis in the experimental method archetype
2. Orbit organization in R2 x S1
3. Braids as indicators of Phase-space dynamics
Braids and the Poincar�e section
5. Reconstruction of Phase-space dynamics: basic course
Reconstruction of Phase-space dynamics: advanced course
7. The user's chapter
8. After thoughts.
Notes:
Description based upon print version of record.
Includes bibliographical references (p. 117-124) and index.
ISBN:
9786611121235
9781281121233
1281121231
9789812771483
9812771484
OCLC:
476100177

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