Symmetry Breaking of Periodic Orbits in Control Systems: A Harmonic Balance Approach-Reference-Cited by-同舟云学术

Symmetry Breaking of Periodic Orbits in Control Systems: A Harmonic Balance Approach

Published:1998-12 Issue:12 Volume:08 Page:2439-2448
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Aguirre Baltazar¹,Alvarez-Ramírez Jose¹,Suárez Rodolfo¹

Affiliation:

1. División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana — Iztapalapa, Apartado Postal 55-534, México D.F., 09340, Mexico

Abstract

This work is concerned with linear control systems subjected to saturated feedback. A first harmonic approach is used to describe the existence of nonsymmetric periodic orbits in a three-dimensional control system. By taking a high-gain parametrization of the feedback control, the presence of nonsymmetric (first harmonic) periodic orbits is demonstrated for certain values of the parameter. Since it is also shown that nonsymmetric periodic orbits do not exist for small and large values of the parameter, evidences are found of the existence of symmetry breaking bifurcations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127498001959

Reference6 articles.

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