Results 111 to 120 of about 7,653 (211)
Journal of Applied Mathematics, 2012 Accurate approximate closed-form solutions for the cubic-quintic Duffing oscillator are obtained in terms of elementary functions. To do this, we use the previous results obtained using a cubication method in which the restoring force is expanded in ...
A. Beléndez +6 more
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Journal of Inequalities and ApplicationsIn this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q-derivatives. We prove the existence and uniqueness results by using standard fixed-point theorems (Banach and Schaefer ...
Mohamed Houas +3 more
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Generation and Evolution of Chaos in Double-Well Duffing Oscillator under Parametrical Excitation
Shock and Vibration, 2016 The generation and evolution of chaotic motion in double-well Duffing oscillator under harmonic parametrical excitation are investigated. Firstly, the complex dynamical behaviors are studied by applying multibifurcation diagram and Poincaré sections ...
Ying Zhang +4 more
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Using the transient trajectories of an optically levitated nanoparticle to characterize a stochastic Duffing oscillator. [PDF]
Sci Rep, 2020 Flajšmanová J +6 more
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Research on the Threshold Determination Method of the Duffing Chaotic System Based on Improved Permutation Entropy and Poincaré Mapping. [PDF]
Entropy (Basel), 2023 Zhou J, Li Y, Wang M.
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, 2004 We derive the exact bifurcation diagram of the Duffing oscillator with parametric noise thanks to the analytical study of the associated Lyapunov exponent. When the fixed point is unstable for the underlying deterministic dynamics, we show that the system undergoes a noise-induced reentrant transition in a given range of parameters.
Mallick, Kirone, Marcq, Philippe
openaire +1 more source
Stabilizing uncertain steady states of some dynamical systems by means of proportional feedback
Nonlinear Analysis, 2013 A simple zero-order proportional feedback technique for stabilizing unknown fixed points is described. The technique employs either artificially created or natural stable fixed point to find the coordinates of the unknown unstable fixed point.
Elena Tamaševičiūtė +1 more
doaj
Characterizing Complex Dynamics in the Classical and Semi-Classical Duffing Oscillator Using Ordinal Patterns Analysis. [PDF]
Entropy (Basel), 2018 Trostel ML +3 more
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Generalized Parameter-Adjusted Stochastic Resonance of Duffing Oscillator and Its Application to Weak-Signal Detection. [PDF]
Sensors (Basel), 2015 Lai ZH, Leng YG.
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