Results 11 to 20 of about 219 (40)
The method of averaging and functional differential equations with delay
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 8, Page 497-511, 2001., 2001 We present a natural extension of the method of averaging to fast oscillating functional differential equations with delay. Unlike the usual approach where the analysis is kept in an infinite‐dimensional Banach space, our analysis is achieved in ℝn. Our results are formulated in classical mathematics. They are proved within Internal Set Theory which is
Mustapha Lakrib
wiley +1 more source
Partial averaging of discrete-time set-valued systems [PDF]
, 2018 In the introduction of the article we given an overview of the results for set-valued equations. Further we considered the set-valued discrete-time dynamical systems and substantiates the averaging method for nonlinear set-valued discrete-time systems ...
KOMLEVA , Tatyana A. +2 more
core +2 more sources
Bifurcations from families of periodic solutions in piecewise differential systems
, 2020 Consider a differential system of the form $$ x'=F_0(t,x)+\sum_{i=1}^k \varepsilon^i F_i(t,x)+\varepsilon^{k+1} R(t,x,\varepsilon), $$ where $F_i:\mathbb{S}^1 \times D \to \mathbb{R}^m$ and $R:\mathbb{S}^1 \times D \times (-\varepsilon_0,\varepsilon_0 ...
Llibre, Jaume +2 more
core +1 more source
New results on averaging theory and applications [PDF]
, 2016 Agraïments: The first author is supported by CNPq 248501/2013-5. CAPES grant 88881.030454 /2013-01 from the Program CSF-PVEThe usual averaging theory reduces the computation of some periodic solutions of a system of ordinary differential equations, to ...
Cândido, Murilo R., Llibre, Jaume
core +2 more sources
, 2012 Numerical integration of ODEs by standard numerical methods reduces a continuous time problems to discrete time problems. Discrete time problems have intrinsic properties that are absent in continuous time problems.
A. I. Neishtadt +10 more
core +1 more source
Complete set of invariants for a Bykov attractor [PDF]
, 2018 In this paper we consider an attracting heteroclinic cycle made by a 1-dimensional and a 2-dimensional separatrices between two hyperbolic saddles having complex eigenvalues.
Carvalho, Maria +1 more
core +2 more sources
Birth of limit cycles for a classe of continuous and discontinuous differential systems in (d 2)-dimension [PDF]
, 2015 Agraïments: FEDER/UNAB10-4E-378. The second author is partially supported by a FAPESP-BRAZIL grant 2012/18780-0. The third author is partially supported by a FAPESP-BRAZIL grant 2012/23591-1 and 2013/21078-8.The orbits of the reversible differential ...
Llibre, Jaume +2 more
core +2 more sources
Periodic orbits for a class of galactic potentials
, 2012 In this work, applying general results from averaging theory, we find periodic orbits for a class of Hamiltonian systems $H$ whose potential models the motion of elliptic galaxies.Comment: 8 pages, Accepted for publication in Astrophysics and Space ...
Alfaro, Felipe +2 more
core +1 more source
On the averaging principle for one-frequency systems. Seminorm estimates for the error
, 2008 We extend some previous results of our work [1] on the error of the averaging method, in the one-frequency case. The new error estimates apply to any separating family of seminorms on the space of the actions; they generalize our previous estimates in ...
C. Morosi +9 more
core +1 more source
Energy transfer in a fast-slow Hamiltonian system [PDF]
, 2011 We consider a finite region of a lattice of weakly interacting geodesic flows on manifolds of negative curvature and we show that, when rescaling the interactions and the time appropriately, the energies of the flows evolve according to a non linear ...
C. Bernardin +26 more
core +2 more sources