The direct method of Lyapunov for nonlinear dynamical systems with fractional damping
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DOI: 10.1007/s11071-020-05962-3
Abstract: In this paper, we introduce a generalization of Lyapunov’s direct method for dynamical systems with fractional damping. Hereto, we embed such systems within the fundamental theory of functional differential equations with infinite delay and use… read more here.
Keywords: lyapunov; direct method; systems fractional; fractional damping ... See more keywords
Effect of Fractional Damping in Double-Well Duffing–Vander Pol Oscillator Driven by Different Sinusoidal Forces
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DOI: 10.1515/ijnsns-2016-0165
Abstract: Abstract The effect of nonlinear damping including fractional damping on the onset of horseshoe chaos is studied both analytically and numerically in the double-well Duffing–Vander Pol (DVP) oscillator driven by various sinusoidal forces. The sinusoidal… read more here.
Keywords: vander pol; effect; fractional damping; duffing vander ... See more keywords