| Description |
1 online resource |
| Series |
Nonlinear physical science, 1867-8440 |
|
Nonlinear physical science.
|
| Contents |
Local Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index |
| Summary |
This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems |
| Notes |
"With 43 figures"--Title page |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Bifurcation theory.
|
|
Nonlinear science.
|
|
Dynamics & vibration.
|
|
Automatic control engineering.
|
|
Cybernetics & systems theory.
|
|
Mathematics -- Mathematical Analysis.
|
|
Technology & Engineering -- Mechanical.
|
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Technology & Engineering -- Automation.
|
|
Technology & Engineering -- Engineering (General)
|
|
Bifurcation theory
|
| Form |
Electronic book
|
| ISBN |
9789811552120 |
|
9811552126 |
|
