2008•Acta Physica SinicaOpen access

Chaotic control of the coupled Logistic map

Xingyuan Wang, Wang Ming-jun, 大连理工大学电子与信息工程学院,大连 116024

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Abstract

Based on the stability criterion of discrete systems, state feedback is used to stabilize unstable low-periodic orbits of the coupled Logistic map, and a new scheme is proposed to change the parameter value of the first bifurcation point of this dynamic system optionally. Numerical simulations show the effectiveness of our methods.

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What this paper is about

Based on the stability criterion of discrete systems, state feedback is used to stabilize unstable low-periodic orbits of the coupled Logistic map, and a new scheme is proposed to change the parameter value of the first bifurcation point of this dynamic system optionally. Numerical simulations show the effectiveness of our methods.

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Available abstract

Based on the stability criterion of discrete systems, state feedback is used to stabilize unstable low-periodic orbits of the coupled Logistic map, and a new scheme is proposed to change the parameter value of the first bifurcation point of this dynamic system optionally. Numerical simulations show the effectiveness of our methods.

Key concepts: Logistic map, Bifurcation, Chaotic, Stability (learning theory), Scheme (mathematics), Control theory (sociology), Computer science, Point (geometry)

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