Stochastic P-bifurcation of fractional derivative Van der Pol system excited by Gaussian white noise
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DOI: 10.1007/s12648-018-1231-3
Abstract: This paper aimed to investigate the stochastic P-bifurcation of Van der Pol oscillator with a fractional derivative damping term driven by Gaussian white noise excitation. Firstly, based on the method of stochastic averaging method and… read more here.
Keywords: van der; stochastic bifurcation; white noise; gaussian white ... See more keywords
Stochastic bifurcation for two-time-scale dynamical system with α-stable Lévy noise
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DOI: 10.1088/1742-5468/abdeb2
Abstract: This work focuses on stochastic bifurcation for a slow–fast dynamical system driven by non-Gaussian α-stable Lévy noise. We prove the main result for the stochastic equilibrium states for the original system and the reduced system… read more here.
Keywords: dynamical system; stable noise; stochastic bifurcation; system ... See more keywords
Stochastic bifurcation in single-species model induced by α-stable Lévy noise
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DOI: 10.1088/1742-5468/ac2255
Abstract: Bifurcation analysis has many applications in different scientific fields, such as electronics, biology, ecology, and economics. In population biology, deterministic methods of bifurcation are commonly used. In contrast, stochastic bifurcation techniques are infrequently employed. Here… read more here.
Keywords: stochastic bifurcation; density; model; biology ... See more keywords
Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation
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DOI: 10.1186/s13662-019-2356-1
Abstract: The stochastic P-bifurcation behavior of a bistable Van der Pol system with fractional time-delay feedback under Gaussian white noise excitation is studied. Firstly, based on the minimal mean square error principle, the fractional derivative term… read more here.
Keywords: bistable van; van der; stochastic bifurcation; system ... See more keywords
Stochastic P-bifurcation of a 3-DOF airfoil with structural nonlinearity
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DOI: 10.15632/jtam-pl/134281
Abstract: In this paper, the stochastic-aeroelastic nonlinear response of a three-degree-of-freedom (3-DOF) structural nonlinear airfoil with a control flap is presented. The critical parameter conditions of stochastic P-bifurcation are solved by using the improved average method,… read more here.
Keywords: structural nonlinearity; airfoil structural; bifurcation dof; stochastic bifurcation ... See more keywords