Controlling Chaotic Maps by Feedback Control Modulation
Roberta Hansen, Graciela Adriana Gonz\'alez
TL;DR
This paper explores methods to stabilize unstable periodic orbits in chaotic maps using feedback control modulation, analyzing and comparing various proportional and delayed feedback techniques.
Contribution
It introduces alternative feedback control methods and provides analytical and numerical evaluations of their effectiveness in stabilizing chaotic maps.
Findings
New feedback control variants improve stabilization performance.
Analytical results confirm the effectiveness of proposed methods.
Numerical simulations demonstrate successful stabilization of UPOs.
Abstract
This paper deals whith the stabilization of any UPO of a chaotic map by modulation of a control parameter. It concentrates on proportional and delayed feedback control methods. Alternative types of these methods are proposed and their achievments are investigated analyticaly and numerically.
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Taxonomy
TopicsChaos control and synchronization · Mathematical Dynamics and Fractals · Quantum chaos and dynamical systems