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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
D. K. Arrowsmith |
Dynamical systems: Differential Equations, Maps, and Chaotic Behaviour |
025415 |
1992 |
Book |
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| 2 |
J. Wainwright (ed.) |
Dynamical systems in cosmology : Proceedings of a workshop held in Cape Town from June 27 to July 2, 1994 with participants from |
013933 |
1997 |
Book |
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| Title | Dynamical systems: Differential Equations, Maps, and Chaotic Behaviour |
| Author(s) | D. K. Arrowsmith;C. M. Place |
| Publication | Boca Raton, Chapman Hall/CRC, 1992. |
| Description | x, 330p. |
| Abstract Note | This text discusses the qualitative properties of dynamical systems including both differential equations and maps. The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams) to develop the material, including a treatment of chaotic behavior. The unprecedented popular interest shown in recent years in the chaotic behavior of discrete dynamic systems including such topics as chaos and fractals has had its impact on the undergraduate and graduate curriculum. However there has, until now, been no text which sets out this developing area of mathematics within the context of standard teaching of ordinary differential equations. Applications in physics, engineering, and geology are considered and introductions to fractal imaging and cellular automata are given. |
| ISBN,Price | 97804123908090807 : UKP 65.99(PB) |
| Classification | 517.938
|
| Keyword(s) | 1. DIFFERENTIAL DYNAMICAL SYSTEMS
2. DISCRETE DYNAMICAL SYSTEMS
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| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 025415 |
|
517.938/ARR/025415 |
On Shelf |
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+Copy Specific Information |
2.
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| Title | Dynamical systems in cosmology : Proceedings of a workshop held in Cape Town from June 27 to July 2, 1994 with participants from South Africa, USA, Canada, UK, Sweden, Germany and India |
| Author(s) | J. Wainwright (ed.);G.F.R. Ellis (ed.) |
| Publication | Cambridge, Cambridge University Press, 1997. |
| Abstract Note | This authoritative volume shows how modern dynamical systems theory can help us in understanding the evolution of cosmological models. It also compares this approach with Hamiltonian methods and numerical studies. A major part of the book deals with the spatially homogeneous (Bianchi) models and their isotropic subclass, the Friedmann-Lemaitre models, but certain classes of inhomogeneous models (for example, 'silent universes') are also examined. The analysis leads to an understanding of how special (high symmetry) models determine the evolution of more general families of models; and how these families relate to real cosmological observations. This is the first book to relate modern dynamical systems theory to both cosmological models and cosmological observations. It provides an invaluable reference for graduate students and researchers in relativity, cosmology and dynamical systems theory. |
| ISBN,Price | 0-521-55457-8(EB) |
| Classification | 524.8:51
|
| Keyword(s) | 1. COSMOLOGICAL MODELS
2. COSMOLOGY - MATHEMATICAL MODELS
3. DIFFERENTIAL DYNAMICAL SYSTEMS
4. DYNAMICAL SYSTEMS THEORY
5. EBOOK
6. EBOOK - CAMBRIDGE UNIVERSITY PRESS
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| Item Type | Book |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 013933 |
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524.8:51/WAI/013933 |
On Shelf |
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| OB0105 |
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524.8:51/WAI/OB0105 |
On Shelf |
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+Copy Specific Information | |