Results 11 to 20 of about 7,901 (195)
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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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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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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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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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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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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On some aspects of the dynamic behavior of the softening Duffing oscillator under harmonic excitation [PDF]
, 2016 The Duffing oscillator is probably the most popular example of a nonlinear oscillator in dynamics. Considering the case of softening Duffing oscillator with weak damping and harmonic excitation and performing standard methods like harmonic balance or ...
Lentz, Lukas, Wagner, Utz von
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Chaos Generation Using BJT's and PLL's
Active and Passive Electronic Components, 2000 There are several simple equations which can be used to generate chaotic waveforms. We present two such equations, called the Duffing equation and the Ueda equation.
Umesh Kumar
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