The Topology of Chaos Alice in Stretch and Squeezeland
Afbeeldingen
Sla de afbeeldingen overArtikel vergelijken
Auteur:
Robert Gilmore
Marc Lefranc
Co-auteur:
Robert Gilmore
Marc Lefranc
- Engels
- Hardcover
- 9780471408161
- 11 oktober 2002
- 518 pagina's
Samenvatting
Describes how strange attractors are classified and presents the simple algorithm for extracting this information from experimental data. * There have been many books published on the first two tools for classifying strange attractors, but this is the first book on the third * Written by the originator of the method .
A new approach to understanding nonlinear dynamics and strange attractors
The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short periods of time into the future. How does one model the dynamics of a system operating in a chaotic regime? Older tools such as estimates of the spectrum of Lyapunov exponents and estimates of the spectrum of fractal dimensions do not sufficiently answer this question. In a significant evolution of the field of Nonlinear Dynamics, The Topology of Chaos responds to the fundamental challenge of chaotic systems by introducing a new analysis method-Topological Analysis-which can be used to extract, from chaotic data, the topological signatures that determine the stretching and squeezing mechanisms which act on flows in phase space and are responsible for generating chaotic data. Beginning with an example of a laser that has been operated under conditions in which it behaved chaotically, the authors convey the methodology of Topological Analysis through detailed chapters on:
* Discrete Dynamical Systems: Maps
* Continuous Dynamical Systems: Flows
* Topological Invariants
* Branched Manifolds
* The Topological Analysis Program
* Fold Mechanisms
* Tearing Mechanisms
* Unfoldings
* Symmetry
* Flows in Higher Dimensions
* A Program for Dynamical Systems Theory
Suitable at the present time for analyzing "strange attractors" that can be embedded in three-dimensional spaces, this groundbreaking approach offers researchers and practitioners in the discipline a complete and satisfying resolution to the fundamental questions of chaotic systems.
A new approach to understanding nonlinear dynamics and strange attractors
The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short periods of time into the future. How does one model the dynamics of a system operating in a chaotic regime? Older tools such as estimates of the spectrum of Lyapunov exponents and estimates of the spectrum of fractal dimensions do not sufficiently answer this question. In a significant evolution of the field of Nonlinear Dynamics, The Topology of Chaos responds to the fundamental challenge of chaotic systems by introducing a new analysis method-Topological Analysis-which can be used to extract, from chaotic data, the topological signatures that determine the stretching and squeezing mechanisms which act on flows in phase space and are responsible for generating chaotic data. Beginning with an example of a laser that has been operated under conditions in which it behaved chaotically, the authors convey the methodology of Topological Analysis through detailed chapters on:
* Discrete Dynamical Systems: Maps
* Continuous Dynamical Systems: Flows
* Topological Invariants
* Branched Manifolds
* The Topological Analysis Program
* Fold Mechanisms
* Tearing Mechanisms
* Unfoldings
* Symmetry
* Flows in Higher Dimensions
* A Program for Dynamical Systems Theory
Suitable at the present time for analyzing "strange attractors" that can be embedded in three-dimensional spaces, this groundbreaking approach offers researchers and practitioners in the discipline a complete and satisfying resolution to the fundamental questions of chaotic systems.
Productspecificaties
Wij vonden geen specificaties voor jouw zoekopdracht '{SEARCH}'.
Inhoud
- Taal
- en
- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 11 oktober 2002
- Aantal pagina's
- 518
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Robert Gilmore
- Tweede Auteur
- Marc Lefranc
- Co Auteur
- Marc Lefranc
- Hoofduitgeverij
- Wiley Vch
Overige kenmerken
- Extra groot lettertype
- Nee
- Product breedte
- 178 mm
- Product hoogte
- 36 mm
- Product lengte
- 249 mm
- Studieboek
- Nee
- Verpakking breedte
- 160 mm
- Verpakking hoogte
- 32 mm
- Verpakking lengte
- 241 mm
- Verpakkingsgewicht
- 822 g
EAN
- EAN
- 9780471408161
Je vindt dit artikel in
- Categorieën
- Boek, ebook of luisterboek?
- Boek
- Taal
- Engels
- Beschikbaarheid
- Leverbaar
- Studieboek of algemeen
- Algemene boeken
Kies gewenste uitvoering
Kies je bindwijze
(2)
Prijsinformatie en bestellen
De prijs van dit product is 141 euro en 06 cent. Dit is een tweedehands product.Alleen tweedehands
Goed
1 - 2 weken
Verkoop door
Bogamo 1 - Boeken outlet
- Bestellen en betalen via bol
- Prijs inclusief verzendkosten, verstuurd door Bogamo 1 - Boeken outlet
- 30 dagen bedenktijd en gratis retourneren
Rapporteer dit artikel
Je wilt melding doen van illegale inhoud over dit artikel:
- Ik wil melding doen als klant
- Ik wil melding doen als autoriteit of trusted flagger
- Ik wil melding doen als partner
- Ik wil melding doen als merkhouder
Geen klant, autoriteit, trusted flagger, merkhouder of partner? Gebruik dan onderstaande link om melding te doen.