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2003•Acta Physica SinicaOpen access

Control of period-doubling bifurcation and chaos in a discrete nonlinear system by the feedback of states and parameter adjustment

Luo Xiao-Shu, Chen Guan-Rong, Bing-Hong Wang, Fang Jin-Qing, Zou Yan-Li, Quan Hong-Jun, (1)广西师范大学物理与电子科学系，桂林 541004; (2)华南理工大学应用物理系，广州 510641; (3)香港城市大学电子工程系，香港 九龙; (4)香港城市大学电子工程系，香港 九龙;中国科学技术大学近代物理系，合肥 230026;广西师范大学物理与电子科学系，桂林 541004; (5)中国科学技术大学近代物理系，合肥 230026; (6)中国原子能科学研究院，北京 102413

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Abstract

In this paper, the control of delaying period-doubling bifurcations and unstable periodic orbits embedded in a chaotic attractor of a discrete nonlinear dynamical system is effectively realized by using the state variables feedback and parameter variation. Moreover, the 2n periodic orbits of the system can be controlled into the 2m (m

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In this paper, the control of delaying period-doubling bifurcations and unstable periodic orbits embedded in a chaotic attractor of a discrete nonlinear dynamical system is effectively realized by using the state variables feedback and parameter variation. Moreover, the 2n periodic orbits of the system can be controlled into the 2m (m

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Available abstract

In this paper, the control of delaying period-doubling bifurcations and unstable periodic orbits embedded in a chaotic attractor of a discrete nonlinear dynamical system is effectively realized by using the state variables feedback and parameter variation. Moreover, the 2n periodic orbits of the system can be controlled into the 2m (m

Key concepts: Period-doubling bifurcation, Attractor, Control of chaos, Periodic orbits, Bifurcation, Chaotic, Nonlinear system, CHAOS (operating system)

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