Results 1 to 10 of about 12,050,610 (334)

Periodic Solutions for Nonlinear Integro-Differential Systems with Piecewise Constant Argument [PDF]

open access: yesThe Scientific World Journal, 2014
We investigate the existence of the periodic solutions of a nonlinear integro-differential system with piecewise alternately advanced and retarded argument of generalized type, in short DEPCAG; that is, the argument is a general step function.
Kuo-Shou Chiu
doaj   +2 more sources

Investigation for periodic and almost periodic solutions of first-order ordinary differential equations [PDF]

open access: yesE3S Web of Conferences, 2023
Approaches to estimating for the number of periodic and almost periodic solutions of ordinary differential equations are considered. Conditions that allow determinating both the upper and lower bounds for these solutions are found.
Alferov G., Ivanov G., Korolev V.
doaj   +1 more source

Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling

open access: yesJournal of Differential Equations, 2021
In this paper, we determine how the diffusion could destabilize an otherwise stable spatially homogeneous periodic solutions for the diffusive systems. This is known as Turing instability of the periodic solutions.
Feng-Qi Yi
semanticscholar   +1 more source

Hybrid exact solutions of the (3 + 1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles

open access: yesResults in Physics, 2021
In this paper, we study some exact solutions of the (3 + 1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles. Based on a given transformation and the bilinear form, together with symbolic computations, we obtain the ...
Ya-Ru Guo, Ai-Hua Chen
doaj   +1 more source

Periodic Solutions of a Periodic FitzHugh–Nagumo System [PDF]

open access: yesInternational Journal of Bifurcation and Chaos, 2015
Recently some interest has appeared for the periodic FitzHugh–Nagumo differential systems. Here, we provide sufficient conditions for the existence of periodic solutions in such differential systems.
Jaume Llibre, Claudio Vidal
openaire   +1 more source

A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems

open access: yesJournal of Computational Physics, 2020
Since the founding theory established by G. Floquet more than a hundred years ago, computing the stability of periodic solutions has given rise to various numerical methods, mostly depending on the way the periodic solutions are themselves determined ...
L. Guillot   +4 more
semanticscholar   +1 more source

ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS [PDF]

open access: yesInternational Journal of Bifurcation and Chaos, 2013
We study the existence of periodic solutions of the nonautonomous periodic Lyness' recurrenceun+2 = (an + un+1)/un, where {an}n is a cycle with positive values a, b and with positive initial conditions. It is known that for a = b = 1 all the sequences generated by this recurrence are 5-periodic.
Bastien, Guy   +2 more
openaire   +3 more sources

Instability of Double-Periodic Waves in the Nonlinear Schrödinger Equation

open access: yesFrontiers in Physics, 2021
It is shown how to compute the instability rates for the double-periodic solutions to the cubic NLS (nonlinear Schrödinger) equation by using the Lax linear equations.
Dmitry E. Pelinovsky
doaj   +1 more source

Periodic and rational solutions of the reduced Maxwell-Bloch equations [PDF]

open access: yesCommunications in nonlinear science & numerical simulation, 2017
We investigate the reduced Maxwell–Bloch (RMB) equations which describe the propagation of short optical pulses in dielectric materials with resonant non-degenerate transitions.
Jiao Wei, Xin Wang, X. Geng
semanticscholar   +1 more source

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