株式会社極東書店トップ ＞ 商品一覧 ＞ Bifurcation and Stability in Nonlinear Dynamical Systems. 1st ed. 2019.
商品詳細
Bifurcation and Stability in Nonlinear Dynamical Systems. 1st ed. 2019.
・ISBN 978-3-030-22909-2 hard EUR 149.99
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| 著者・編者 | Luo, Albert C. J., |
|---|---|
| シリーズ | Nonlinear Systems and Complexity |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2020 |
| ページ数 | 411 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2896＞ |
解説
This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. For instance, infinite-equilibrium dynamical systems have higher-order singularity, which dramatically changes dynamical behaviors and possesses the similar characteristics of discontinuous dynamical systems. The stability and bifurcation of equilibriums on the specific eigenvector are presented, and the spiral stability and Hopf bifurcation of equilibriums in nonlinear systems are presented through the Fourier series transformation. The bifurcation and stability of higher-order singularity equilibriums are presented through the (2m)th and (2m+1)th -degree polynomial systems. From local analysis, dynamics of infinite-equilibrium systems is discussed. The research on infinite-equilibrium systems will bring us to the new era of dynamical systems and control.
- Presents an efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums;
- Discusses dynamics of infinite-equilibrium systems;
- Demonstrates higher-order singularity.