ROBUST BIFURCATION ANALYSIS OF SYSTEMS WITH DYNAMIC UNCERTAINTIES-Reference-Cited by-同舟云学术

ROBUST BIFURCATION ANALYSIS OF SYSTEMS WITH DYNAMIC UNCERTAINTIES

Published:2013-09 Issue:09 Volume:23 Page:1350157
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

INOUE MASAKI¹²,IMURA JUN-ICHI²,KASHIMA KENJI³,AIHARA KAZUYUKI⁴

Affiliation:

1. Japan Science and Technology Agency, Japan

2. Graduate School of Information Science and Engineering, Tokyo Institute of Technology, 2-12-1-W8-1, O-okayama, Meguro-ku, Tokyo 152-8552, Japan

3. Graduate School of Engineering Science, 1-3, Machikaneyama, Toyonaka, Osaka 560-8531, Japan

4. Institute of Industrial Science, University of Tokyo, 4-6-1, Komaba, Meguro-ku, Tokyo 153-8505, Japan

Abstract

In this paper, we propose in uncertain dynamical systems a novel method for identifying the region that includes all possible bifurcation boundaries. First, we formulate a robust bifurcation analysis problem for parameter-dependent differential equations with dynamic uncertainties. Next, to solve this problem, we give stability and instability conditions for the uncertain system. Finally, on the basis of these conditions, we propose a method for solving the robust bifurcation analysis problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413501575

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