Dynamics reported : a series in dynamical systems and their applications
著者
書誌事項
Dynamics reported : a series in dynamical systems and their applications
J. Wiley , B.G. Teubner, c1988-
- v. 1 : U.K.
- v. 1 : Germany
- v. 2 : U.K.
- v. 2 : Germany
大学図書館所蔵 件 / 全36件
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v. 1 : U.K.413.62+1664706,
v. 1 : Germany413.62-KIR+1534655/B2, v. 2 : U.K.413.62+2664707, v. 2 : Germany413.62-KIR+2582111/B2 -
v. 1 : Germany401||D 99||1064032188009865,
v. 2 : Germany401||D 99||2064032189010297 -
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注記
Includes bibliographical references
内容説明・目次
- 巻冊次
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v. 1 : U.K. ISBN 9780471916611
内容説明
At the moment major developments are taking place in the field of dynamical systems, and interest in this area is correspondingly high. The subject is important not only to applied mathematicians, but also to engineers, physicists and computer scientists. Dynamics Reported will be a series of contributed books, each one made up of 4 - 6 substantial articles by leading researchers in this field. The articles will be up to 60 pages long and will treat an important subject of current research at a high scientific and didactic level. The main results will be accompanied by detailed proofs. The intention is to include only articles of the highest quality. With this in view, only one or two volumes will be published each year. Volume 1 contains articles on Mather sets for twist maps and geodesics on tori, connecting orbits in scalar reaction diffusion equations, nonlinear resonance, singularly perturbed initial value problems, and exponential dichotomies.
目次
- Preface
- Contributors
- Mather Sets for Twist Maps and Geodesics on Tori
- Connecting Orbits in Scalar Reaction Diffusion Equations
- Qualitative Theory of Nonlinear Resonance by Averaging and Dynamical Systems Methods
- An Algorithmic Approach for Solving Singularly Perturbed Initial Value Problems
- Exponential Dichotomies, the Shadowing Lemma and Transversal Homoclinic Points.
- 巻冊次
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v. 2 : U.K. ISBN 9780471919582
内容説明
This second volume in the "Dynamics Reported" series contains five articles by acknowledged experts on major topics in the field of dynamical systems. As with the previous volume, many new results and applications are included, along with full proofs.
目次
- Invariant manifolds for semilinear partial differential equations
- formally symmetric normal forms and genericity
- some quadratic systems with at most one limit cycle
- centre manifolds, normal form and elementary bifurcations
- models for dynamics
- references
- notation.
- 巻冊次
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v. 1 : Germany ISBN 9783519021506
目次
1 Mather Sets for Twist Maps and Geodesics on Tori.- 2 Connecting Orbits in Scalar Reaction Diffusion Equations.- 3 Qualitative Theory of Nonlinear Resonance by Averaging and Dynamical Systems Methods.- 4 An Algorithmic Approach for Solving Singularly Perturbed Initial Value Problems.- 5 Exponential Dichotomies, the Shadowing Lemma and Transversal Homoclinic Points.
- 巻冊次
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v. 2 : Germany ISBN 9783519021513
目次
1 Invariant Manifolds for Semilinear Partial Differential Equations.- 2 Formally Symmetric Normal Forms and Genericity.- 3 Some Quadratic Systems with at most One Limit Cycle.- 4 Centre Manifolds, Normal Forms and Elementary Bifurcations.- 5 Models for Dynamics.
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