Practical bifurcation and stability analysis : from equilibrium to chaos
著者
書誌事項
Practical bifurcation and stability analysis : from equilibrium to chaos
（Interdisciplinary applied mathematics, v. 5）
Springer-Verlag, c1994
2nd ed
- : us
- : gw
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注記
Rev. ed. of: From equilibrium to chaos. c1988
Includes bibliographical references (p. [373]-393) and index
内容説明・目次
- 巻冊次
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: us ISBN 9780387943169
内容説明
This book contains computational methods for numerically computing steady state and Hopf bifurcations. It is probably the first textbook to describe these types of numerical bifurcation techniques. The book requires only a basic knowledge of calculus, and uses detailed examples, problems, and figures. This will be appropriate as a textbook for graduate students.
目次
Contents: Preface.- Notation.- Introduction and Prerequisites.- Basic Nonlinear Phenomena.- Applications and Extensions.-Principles of Continuation.- Calculation of the Branching Behavior of Nonlinear Equations.- Calculating Branching Behavior of Boundary-Value Problems.- Stability of Periodic Solutions.- Qualitative Instruments.- Chaos.- Appendices.- List of Major Examples.- References.- Index.
- 巻冊次
-
: gw ISBN 9783540943167
内容説明
This advanced text describes computational methods for the numerical computing of steady state and Hopf bifurcations. It requires only a basic knowledge of calculus. Detailed examples, problems and figures are used throughout to aid comprehension of these numerical bifurcation techniques.
目次
- Basic Nonlinear Phenomena
- Practical Problems
- Principles of Continuation
- Calculation of the Branching Behaviour of Nonlinear Equations
- Calculating Branching Behaviour of Boundary-value Problems
- Stability of Periodic Solutions
- Qualitative Instruments
- Chaos.
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