Controlling chaotic behaviour for spin generator and Rossler dynamical systems with feedback control期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Controlling chaotic behaviour for spin generator and Rossler dynamical systems with feedback control

Affiliation:	1. Shaheed Rajguru College of Applied Sciences for Women, Department of Mathematics, University of Delhi, Vasundhara Enclave, Delhi 110096, India;2. Delhi Technological University, Formerly Delhi College of Engineering, Department of Applied Mathematics, Bawana Road, Delhi 110042, India;1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;2. School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190, China;1. Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, Shandong, China;3. School of Information and Engineering, Harbin Institute of Technolog, Weihai 264209, China

Abstract:	Different methods are proposed to control chaotic behaviour of the Nuclear Spin Generator (NSG) and Rossler continuous dynamical systems. Linear and nonlinear feedback control techniques are used to suppress chaos. The stabilization of unstable fixed point or unstable periodic solution of chaotic behaviour is achieved. The controlled system is stable under some conditions on the parameters of the system. Stability of the controlled system is determined by the Routh–Hurwitz criterion and Lyapunov direct method. Numerical simulation results are included to show the control process.

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