Results 91 to 100 of about 7,689 (210)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7609-7629, 15 May 2025.This contribution aims at studying a general class of random differential equations with Dirac‐delta impulse terms at a finite number of time instants. Our approach directly addresses calculating the so‐called first probability density function, from which all the relevant statistical information about the solution, a stochastic process, can be ...
Vicente J. Bevia +2 more
wiley +1 more source
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
, 2015 Nonlinearity in macroscopic mechanical system plays a crucial role in a wide variety of applications, including signal transduction and processing, synchronization, and building logical devices.
Deng, Wen +11 more
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Jump resonance in the driven Chua's circuit to design frequency selective devices
International Journal of Circuit Theory and Applications, Volume 53, Issue 5, Page 2996-3012, May 2025.The paper defines the conditions for the emergence of jump resonance in the driven Chua's circuit. Jump resonance features are characterized by means of numerical simulations and through an experimental circuit. Guidelines to design the Chua's circuit parameters to have the desired jump features are introduced, providing a strategy to realize highly ...
Arturo Buscarino +2 more
wiley +1 more source
Visualizing the decisions of the first boundary value problem for of the autonomous duffing equation with the use of the methods of the theory of branch [PDF]
, 2017 Mathematicalmodelsareusedtodescribephysicalprocessesinthetheoryofoscillations. The Duffing oscillator or an oscillator with a cubic nonlinearity is one of the most common models of the theory of oscillations.
Торшина, О. А. +1 more
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Non-equilibrium steady state of a driven levitated particle with feedback cooling
, 2015 Laser trapped nanoparticles have been recently used as model systems to study fundamental relations holding far from equilibrium. Here we study, both experimentally and theoretically, a nanoscale silica sphere levitated by a laser in a low density gas ...
Dellago, Christoph +3 more
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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
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
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
wiley +1 more source
, 2015 Linear augmentation has recently been shown to be effective in targeting desired stationary solutions, suppressing bistablity, in regulating the dynamics of drive response systems and in controlling the dynamics of hidden attractors.
Karnatak, Rajat
core +2 more sources