ON DIFFUSION DRIVEN OSCILLATIONS IN COUPLED DYNAMICAL SYSTEMS-Reference-Cited by-同舟云学术

ON DIFFUSION DRIVEN OSCILLATIONS IN COUPLED DYNAMICAL SYSTEMS

Published:1999-04 Issue:04 Volume:09 Page:629-644
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

POGROMSKY ALEXANDER¹,GLAD TORKEL¹,NIJMEIJER HENK²

Affiliation:

1. Department of Electrical Engineering Linköping University, S-581 83 Linköping, Sweden

2. C. Y. Drebbelinstitute, Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands

Abstract

The paper deals with the problem of destabilization of diffusively coupled identical systems. Following a question of Smale [1976], it is shown that globally asymptotically stable systems being diffusively coupled, may exhibit oscillatory behavior. It is shown that if the diffusive medium consists of hyperbolically nonminimum phase systems and the diffusive factors exceed some threshold value, the origin of the overall system undergoes a Poincaré–Andronov–Hopf bifurcation resulting in oscillatory behavior.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499000444

Reference11 articles.

1. Asymptotic stabilization of minimum phase nonlinear systems

2. Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems

3. Transformation Theory of Non-Linear Differential Equations of the Second Order

4. Passivity Based Design of Synchronizing Systems

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