Results 11 to 20 of about 103,009 (314)

Periodic solutions of a galactic potential [PDF]

open access: yesChaos, Solitons & Fractals, 2014
We study analytically the periodic solutions of a Hamiltonian in R^6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.
Llibre, Jaume   +2 more
openaire   +5 more sources

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   +7 more sources

Exact solitary and periodic wave solutions of high-order nonlinear Schrödinger equation and their relationship with Hamilton energy

open access: yesAIP Advances, 2021
In this paper, we study the exact solitary wave solutions, periodic wave solutions, and bounded rational function solution of the high-order nonlinear Schrödinger equation and the evolutional relationships between the solitary and periodic wave solutions
Weiguo Zhang   +3 more
doaj   +1 more source

Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations

open access: yesDiscrete Dynamics in Nature and Society, 2017
This paper deals with the existence and uniqueness of periodic solutions, S-asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl-Liouville fractional derivative defined for periodic
Jia Mu, Yong Zhou, Li Peng
doaj   +1 more source

Periodic Solution and Asymptotic Stability for the Magnetohydrodynamic Equations with Inhomogeneous Boundary Condition

open access: yesAxioms, 2019
We show, using the spectral Galerkin method together with compactness arguments, the existence and uniqueness of the periodic strong solutions for the magnetohydrodynamic-type equations with inhomogeneous boundary conditions.
Igor Kondrashuk   +3 more
doaj   +1 more source

Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions

open access: yesElectronic Research Archive, 2023
In this paper, a three-molecule autocatalytic Schnakenberg model with cross-diffusion is established, the instability of bifurcating periodic solutions caused by diffusion is studied, that is, diffusion can destabilize the stable periodic solutions of ...
Weiyu Li , Hongyan Wang
doaj   +1 more source

Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation

open access: yesJournal of Applied Mathematics, 2012
We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained.
Ming Song, Zhengrong Liu
doaj   +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  

Stability and instability for periodic solutions of delay equations with "steplike" feedback

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
We consider the stability of periodic solutions of certain delay equations $x'(t) = f(x_t)$ for which the special structure of the equation allows us to define return maps that are semiconjugate to finite-dimensional maps.
Benjamin Kennedy
doaj   +1 more source

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