Neimark-Sacker Bifurcation Points Derivation Method in Nonlinear Dynamical Systems using Nested-Layer Particle Swarm Optimizations-Reference-Cited by-同舟云学术

Neimark-Sacker Bifurcation Points Derivation Method in Nonlinear Dynamical Systems using Nested-Layer Particle Swarm Optimizations

Published:2022-06-01 Issue:6 Volume:142 Page:670-678
ISSN:0385-4221
Container-title:IEEJ Transactions on Electronics, Information and Systems
language:en
Short-container-title:IEEJ Trans.EIS

Author:

Gotoh Tomoki¹,Kurokawa Hiroaki²,Matsushita Haruna³,Kousaka Takuji¹

Affiliation:

1. Faculty of Engineering, Chukyo University

2. Faculty of Engineering, Tokyo University of Technology

3. Department of Creative Engineering, Kagawa University

Publisher

Institute of Electrical Engineers of Japan (IEE Japan)

Subject

Electrical and Electronic Engineering

Link

https://www.jstage.jst.go.jp/article/ieejeiss/142/6/142_670/_pdf

Reference22 articles.

1. (1) J. Neimark: “On some cases of periodic motions depending on parameters”, Dokl. Akad. Nauk SSSR, Vol. 129, No. 4, pp. 736-739 (1959)

2. (2) R. J. Sacker: “On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations”, New York University, Report IMM-NYU 333 (1964)

3. (3) H. Kawakami: “Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters”, IEEE Trans. on Circuits and Systems, Vol. 31, No. 3, pp. 248-260 (1984)

4. (4) T. Kousaka, T. Ueta, and H. Kawakami: “Bifurcation of switched nonlinear dynamical systems”, IEEE Trans. on Circuits and Systems II, Vol. 2, No. 7, pp. 1451-1458 (1999)

5. (5) K. Tsumoto, T. Ueta, T. Yoshinaga, and H. Kawakami: “Bifurcation analyses of nonlinear dynamical systems: From theory to numerical computations”, NOLTA, IEICE, Vol. 3, No. 4, pp. 458-476 (2012)

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