Anticontrol Techniques for Systems of Lorenz Type
Dana Constantinescu
TL;DR
This paper explores how nonlinear feedback controllers can modify Lorenz systems to control chaos, analyzing bifurcations, homoclinic and heteroclinic orbits, and establishing conditions for chaos anticontrol.
Contribution
It introduces new anticontrol techniques for Lorenz systems using nonlinear feedback, providing conditions for chaos suppression and system behavior modification.
Findings
Conditions for chaos anticontrol are established.
Bifurcation analysis of the controlled system is performed.
Existence of homoclinic and heteroclinic orbits is characterized.
Abstract
The paper investigates some basic dynamical properties of a general system obtained from the Lorenz system using a non-linear feedback controller. We focus on the bifurcation of the equilibrium points and on the existence and the description of homoclinic and heteroclinic orbits. We present necessary conditions for the anticontrol of chaos in the considered system.
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Taxonomy
TopicsChaos control and synchronization · Nonlinear Dynamics and Pattern Formation · Quantum chaos and dynamical systems