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＜Book＞
Handbook of dynamical systems
| Responsibility | edited by Bernold Fiedler |
|---|---|
| Material Type | Book |
| Publisher | Amsterdam ; Tokyo : Elsevier Science |
| Year | 2002- |
| Language | English |
| Size | 3 v. : ill. (some col.) ; 25 cm |
| Abstract | Volumes 1A and 1B. These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major intr...ductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys. The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics. Volume 1B will appear 2005. This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey Principal Structures of Volume 1A. The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations). . Written by experts in the field.. The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources. . The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems. This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to name just a few, are ubiquitous dynamical concepts throughout the articles. show more |
| Electronic Version |
https://hdl.handle.net/2324/6828008 https://hdl.handle.net/2324/6976466 https://hdl.handle.net/2324/6976467 |
Holdings
| Status | Volume | Location | Call No. | Printed | Collection Name | Barcode No. | Comments | Reserve | Copy | Automatic archive |
|---|---|---|---|---|---|---|---|---|---|---|
| vol. 1A | SciTech 3F Mathematical Books | R/E/51-1-1 | 2002 |
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023212003000192 |
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| vol. 1B | SciTech 3F Mathematical Books | R/E/51-1-2 | 2006 |
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023212005007353 |
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| vol. 2 | SciTech 1F Open Stacks | 413.6/F 25 | 2002 |
|
003212008001361 |
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| vol. 2 | SciTech 3F Mathematical Books | R/E/51-2 | 2002 |
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023212002000556 |
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Bibliographic details
| Notes | Vol. 1A & 1B edited by B. Hasselblatt, A. Katok Includes bibliographical references and indexes |
|---|---|
| Authors | Fiedler, Bernold, 1956- Hasselblatt, Boris Katok, A. B., 1944- |
| Subjects | LCSH:Differentiable dynamical systems |
| Classification | DC21:515.3/52 |
| ID | 1001244344 |
| ISBN | 0444826696 |
| NCID | BA56806307 |
| Vol | vol. 1A ; ISBN:0444826696 vol. 1B ; ISBN:0444520554 ; XISBN:9780444520555 vol. 2 ; ISBN:0444501681 |
| Created Date | 2009.09.18 |
| Modified Date | 2017.02.18 |