Bursting Oscillations in Shimizu-Morioka System with Slow-Varying Periodic Excitation
نویسندگان
چکیده
منابع مشابه
Shimizu-morioka Chaotic System
This paper derives new results for the adaptive control and synchronization design of the Shimizu-Morioka chaotic system (1980), when the system parameters are unknown. First, we build an adaptive controller to stabilize the Shimizu-Morioka chaotic system to its unstable equilibrium at the origin. Then we build an adaptive synchronizer to achieve global chaos synchronization of the identical Sh...
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The Shimizu-Morioka dynamical system is a Lorentz-like system that is of much importance in fields like fluid dynamics and laser physics. This paper proposes an identical synchronization scheme for generalized linearly bidirectionally coupled chaotic Shimizu-Morioka dynamical system. Lyapunov stability theory is applied to establish the conditions on coupling parameters for synchronization. Num...
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متن کاملOutput Regulation of Shimizu-morioka Chaotic System by State Feedback Control
This paper investigates the problem of output regulation of Shimizu-Morioka chaotic system, which is one of the classical chaotic systems proposed by T. Shimizu and N. Morioka (1980). Explicitly, for the constant tracking problem, new state feedback control laws regulating the output of the Shimizu-Morioka chaotic system have been derived using the regulator equations of C.I. Byrnes and A. Isid...
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In this paper we concern with asymptotic stability, synchronization control and numerical solution of incommensurate order fractional Shimizu–Morioka dynamical system. Firstly we prove the existence and uniqueness of the solutions via a new theorem. After finding steady–state points, we obtain necessary and sufficient conditions for the asymptotic stability of the Shimizu–Morioka system. We als...
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ژورنال
عنوان ژورنال: Shock and Vibration
سال: 2018
ISSN: 1070-9622,1875-9203
DOI: 10.1155/2018/5207910