Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators
نویسندگان
چکیده
منابع مشابه
Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators
This paper discusses a novel technique and implementation to perform nonlinear control for two different forced model state oscillators and actuators. The paper starts by discussing the Duffing oscillator which features a second order non-linear differential equation describing complex motion whereas the second model is the Van der Pol oscillator with non-linear damping. A first order actuator ...
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Abstract. This paper investigates the synchronization and anti-synchronization behaviour of two identical double-hump Duffing-Van der Pol oscillator (DHDVP) evolving from different initial conditions using the active control technique based on the Lyapunov stability theory (LST) and the Routh-Hurwitz criteria (RHC). The designed controllers, with three different choices of the coefficient matri...
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In this work, we investigate the dynamical behaviors of the modi ed autonomous Van der Pol-Du¢ ng chaotic circuit (MADVP). Some stability conditions of the equilibrium points are discussed. The existence of pitchfork bifurcation is veri ed by using the bifurcation theory and the center manifold theorem. The occurrences of Hopf bifurcation about the equilibrium points are proved. Conditions for ...
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Synchronization in the system of coupled non-identical nonisochronous Van fer Pol – Duffing oscillators with inertial and dissipative coupling is discussed. Generalized Adler’s equation is obtained and investigated in the presence of all relevant factors affecting the synchronization (nonisochronism of the oscillators, their nonidentity, coupling of the dissipative and inertial type). Character...
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Analysis of numerical solutions for a system of two van der Pol–Duffing oscillators with nonlinear coupling showed that there exist chaotic switchings (occurring at irregular time intervals) between two oscillatory regimes differing by nearly time-constant phase shifts between the coupled subsystems. The analysis includes the investigation of bifurcations of the periodic motions corresponding t...
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ژورنال
عنوان ژورنال: International Journal of Modern Nonlinear Theory and Application
سال: 2017
ISSN: 2167-9479,2167-9487
DOI: 10.4236/ijmnta.2017.61003