Results 11 to 20 of about 8,845 (277)
The bistable Duffing oscillator in discrete time
Физика волновых процессов и радиотехнические системы, 2020 The dynamics of an oscillatory system with a soft cubic-nonlinear return force a bistable Duffing oscillator, in discrete time are consider. The mathematical analysis is based on a continuous-time model in the form of the Duffing equation.
V.V. Zaitsev
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Journal of Low Frequency Noise, Vibration and Active Control, 2022 The Duffing oscillator equation is one of important equations that model several nonlinear phenomena in science and engineering. The differential transform method (DTM) is applied to obtain the solutions of homogeneous and non-homogeneous Duffing ...
Noufe H Aljahdaly, Maram A Alharbi
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Detection the nonlinear ultrasonic signals based on modified Duffing equations
Results in Physics, 2017 The nonlinear ultrasonic signals, like second harmonic generation (SHG) signals, could reflect the nonlinearity of material induced by fatigue damage in nonlinear ultrasonic technique which are weak nonlinear signals and usually submerged by strong ...
Yuhua Zhang +3 more
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Mathematics, 2021 The multistage differential transformation method (MSDTM) is used to find an approximate solution to the forced damping Duffing equation (FDDE).
Noufe H. Aljahdaly, S. A. El-Tantawy
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Advances in Difference Equations, 2020 A human being standing upright with his feet as the pivot is the most popular example of the stabilized inverted pendulum. Achieving stability of the inverted pendulum has become common challenge for engineers. In this paper, we consider an initial value
A. G. M. Selvam +4 more
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The origin point of the unstable solution area of a forced softening Duffing oscillator
Scientific Reports, 2022 Each Duffing equation has an unstable solution area with a boundary, which is also a line of bifurcation. Generally, in a system that can be modeled by the Duffing equation, bifurcations can occur at frequencies lower than the origin point frequency of ...
Wojciech Wawrzynski
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Extrapolation of Duffing Equation Solution by Using RBF Network
Современные информационные технологии и IT-образование, 2021 The article considers the problem of approximation of the solution of the Cauchy problem for an ordinary differential equation of the second order. The approximation scheme is based on the Taylor expansion of the solution with a remainder in the Lagrange
Tatyana Lazovskaya +3 more
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On Artifacts in Nonlinear Dynamics [PDF]
, 2017 Nonlinear oscillations are of permanent interest in the field of dynamics of mechanical and mechatronical systems. There exist several well-known semi-analytical methods like Harmonic Balance, perturbation analysis or multiple scales for such problems ...
Lentz, Lukas, Wagner, Utz von
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VAN DER POL-DUFFING OSCILLATOR WITH THE EFFECT OF HEREDITARY [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The paper presents a new mathematical model of the van der Pol oscillator, Duffing with external periodic influence given hereditarity. An algorithm for finding the numerical solution of the original model equation, which is based on the finite ...
Novikovа E. R.
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Journal of Differential Equations, 1993 The authors study the equation (1) \(z''+a^ 2g_ 0(z)=f(t)\), with \(f\) \(T\)-periodic, under the assumption that the equation \(z''+g_ 0(z)=0\) has either (i) an orbit homoclinic to a saddle point, or (ii) a heteroclinic orbit joining saddle points. In the homoclinic (resp. heteroclinic) case, they prove that if \(f'(t)\) (resp. \(f(t))\) has a simple
Battelli, F., Palmer, K.J.
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