Results 81 to 90 of about 7,653 (211)
Piecewise Volterra modelling of the Duffing oscillator in the frequency domain [PDF]
, 2010 When analysing the nonlinear Duffing oscillator, the weak nonlinearity is basically dependent on the amplitude range of the input excitation. The nonlinear differential equation models of such nonlinear oscillators, which can be transformed into the ...
Billings, S.A., Li, L.M.
core
Generic root counts and flatness in tropical geometry
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We use tropical and nonarchimedean geometry to study the generic number of solutions of families of polynomial equations over a parameter space Y$Y$. In particular, we are interested in the choices of parameters for which the generic root count is attained.
Paul Alexander Helminck, Yue Ren
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 4173-4184, 15 March 2025.We analyze the generalized Hamiltonian structure of a system of first‐order ordinary differential equations for the Jenner et al. system (Letters in Biomathematics 5 (2018), no. S1, S117–S136). The system of equations is used for modeling the interaction of an oncolytic virus with a tumor cell population.
Partha Guha, Anindya Ghose‐Choudhury
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Modified Legendre Wavelets Technique for Fractional Oscillation Equations
Entropy, 2015 Physical Phenomena’s located around us are primarily nonlinear in nature and their solutions are of highest significance for scientists and engineers.
Syed Tauseef Mohyud-Din +2 more
doaj +1 more source
Two-oscillator model of trapped-modes interaction in a nonlinear bilayer fish-scale metamaterial
, 2014 We discuss the similarity between the nature of resonant oscillations in two nonlinear systems, namely, a chain of coupled Duffing oscillators and a bilayer fish-scale metamaterial.
Kochetov, Bogdan A. +4 more
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 2, 30 January 2025.ABSTRACT This paper focuses upon the single‐step multi‐stage time integration methods for second‐order time‐dependent systems. Firstly, a new and novel generalization of the Runge‐Kutta (RK) and Runge‐Kutta‐Nyström (RKN) methods is proposed, featuring an advanced Butcher table for designing new and optimal algorithms.
Yazhou Wang +2 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 2, 30 January 2025.ABSTRACT Implicit‐explicit (IMEX) time integration schemes are well suited for non‐linear structural dynamics because of their low computational cost and high accuracy. However, the stability of IMEX schemes cannot be guaranteed for general non‐linear problems.
Sun‐Beom Kwon, Arun Prakash
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MathematicsMillimeter-wave technology helps achieve antenna miniaturization and high gain, but it is limited by factors such as short wavelength, high transmission loss, and high signal-to-noise ratio, which put higher requirements on the accuracy and computing ...
Tai An +5 more
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The mapping of Duffing oscillator in discrete time
Физика волновых процессов и радиотехнические системы, 2014 The option of discrete mapping of Duffing oscillator - oscillatory system with cubic nonlinearity is offered. Mapping is received on the basis of a combination of methods of parametrical synthesis and invariancy of pulse characteristics of dynamic ...
V.V. Zaitsev, A.N. Shilin, A.N. Yudin
doaj
Quantum dissipative dynamics of driven Duffing oscillator near attractors
APL QuantumWe investigate the quantum dissipative dynamics near the stable states (attractors) of a driven Duffing oscillator. A refined perturbation theory that can treat two perturbative parameters with different orders is developed to calculate the quantum ...
Wei Feng, Lingzhen Guo
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