Results 11 to 20 of about 219 (41)
Time averaging for functional differential equations
Journal of Applied Mathematics, Volume 2003, Issue 1, Page 1-16, 2003., 2003 We present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.
Mustapha Lakrib
wiley +1 more source
An inertial manifold and the principle of spatial averaging
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 293-299, 2001., 2001 We examine the existence of inertial manifold of a class of differential equations with particular boundary conditions.
Hyukjin Kwean
wiley +1 more source
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
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
, 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
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
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
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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 $R:\mathbb{S}^1 \times D \times (-\varepsilon_0,\varepsilon_0 ...
Llibre, Jaume +2 more
core +1 more source
Asymptotic behavior of periodic solutions in one-parameter families of Li\'{e}nard equations
, 2019 In this paper, we consider one--parameter ($\lambda>0$) families of Li\'enard differential equations. We are concerned with the study on the asymptotic behavior of periodic solutions for small and large values of $\lambda>0$.
Cardin, Pedro Toniol +1 more
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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
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