Genetic algorithm shape optimization to manipulate the nonlinear response of a clamped-clamped beam
Heliyon, 2022 Dynamical systems, which are described by differential equations, can have an enhanced response because of their nonlinearity. As one example, the Duffing oscillator can exhibit multiple stable vibratory states for some external forcing frequencies ...
Tushar Mollik +4 more
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Lie group classification of first-order delay ordinary differential equations
, 2017 A group classification of first-order delay ordinary differential equation (DODE) accompanied by an equation for delay parameter (delay relation) is presented.
Dorodnitsyn, Vladimir A. +3 more
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The existence and approximation of the periodic solution of a system of nonlinear differential-differential equations of the first order with independent variable delay with boundary conditions [PDF]
مجلة التربية والعلم, 2007 In this paper we study the existence and approximation of the solutions for some systems of nonlinear integro-differential equations with having retarded arguments and boundary conditions. The numerical–analytic method has been used to study the periodic
Raad Putrus, Ann Isaac
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Numerical solving of coupled systems of parabolic and ordinary differential equations
Nonlinear Analysis, 2010 Two coupled systems of parabolic and nonlinear ordinary differential equations arising in kinetics of heterogeneous reactions are studied numerically by using computer calculations. Some numerical results are discussed.
V. Skakauskas, P. Katauskis
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Existence of a periodic solutions for certain system of nonlinear integro-differential equations [PDF]
مجلة التربية والعلم, 2008 In this paper we investigate the existence and approximation of the periodic solutions for certain systems of nonlinear integro-differential equations, by using the method of successive periodic approximation of ordinary differential equations which is ...
R. Butris
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Nonparametric Uncertainty Quantification for Stochastic Gradient Flows [PDF]
, 2015 This paper presents a nonparametric statistical modeling method for quantifying uncertainty in stochastic gradient systems with isotropic diffusion. The central idea is to apply the diffusion maps algorithm to a training data set to produce a stochastic ...
Berry, Tyrus, Harlim, John
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On Exact Controllability of First-Order Impulsive Differential Equations
Advances in Difference Equations, 2010 Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations.
Juan J. Nieto, Christopher C. Tisdell
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Satisfiability Modulo ODEs [PDF]
, 2013 We study SMT problems over the reals containing ordinary differential equations. They are important for formal verification of realistic hybrid systems and embedded software.
Clarke, Edmund, Gao, Sicun, Kong, Soonho
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Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations
Alexandria Engineering JournalIn this paper, our main purpose is to study dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations in quantum mechanics.
Jie Luo +4 more
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Results in Physics, 2022 The coupled nonlinear Maccari systems are very important equations which have been developed vigorously in the fields of the nonlinear optics, deep water theory, plasma physics, nonlinear optics and so on.
Zhao Li, Xinyu Xie, Changjiang Jin
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