Results 11 to 20 of about 7,979 (231)
Chaos and Relativistic Energy-Momentum of the Nonlinear Time Fractional Duffing Equation
Mathematical and Computational Applications, 2019 This paper studies the nonlinear fractional undamped Duffing equation. The Duffing equation is one of the fundamental equations in engineering. The geographical areas of this model represent chaos, relativistic energy-momentum, electrodynamics, and ...
Raghda A. M. Attia +2 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 artifact solutions of semi-analytic methods in nonlinear dynamics [PDF]
, 2018 Nonlinear dynamics is a topic of permanent interest in mechanics since decades. The authors have recently published some results on a very classical topic, the dynamics of a softening Duffing oscillator under harmonic excitation focusing especially on ...
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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A coupling successive approximation method for solving Duffing equation and its application
Vietnam Journal of Mechanics, 2014 The paper proposes an algorithm to solve a general Duffing equation, in which a process of transforming the initial equation to a resulting equation is proposed, and then the coupling successive approximation method is applied to solve the resulting ...
Dao Huy Bich, Nguyen Dang Bich
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Duffing revisited: Phase-shift control and internal resonance in self-sustained oscillators [PDF]
, 2015 We address two aspects of the dynamics of the forced Duffing oscillator which are relevant to the technology of micromechanical devices and, at the same time, have intrinsic significance to the field of nonlinear oscillating systems.
Arroyo, Sebastián I. +1 more
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