Results 11 to 20 of about 240 (60)

On a conjecture of De Giorgi related to homogenization [PDF]

, 2017
For a periodic vector field $\bf F$, let ${\bf X}^\epsilon$ solve the dynamical system \begin{equation*} \frac{d{\bf X}^\epsilon}{dt} = {\bf F}\left(\frac {{\bf X}^\epsilon}\epsilon\right) . \end{equation*} In \cite{DeGiorgi} Ennio De Giorgi enquiers
Karakhanyan, Aram, Shahgholian, Henrik
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On the uniqueness of invariant tori in D4*S1 symmetric systems [PDF]

, 1994
The uniqueness of the branch of two-tori in the D4-equivariant Hopf bifurcation problem is proved in a neighbourhood of a particular limiting case where, after reduction, the Euler equations for the rotation of a free rigid body ...
Gils, S.A. van, Silber, M.
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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, Rodrigues, Alexandre A. P.   +1 more
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Stable dynamics in forced systems with sufficiently high/low forcing frequency [PDF]

, 2015
We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low.
Arnold V. I., Bartuccelli M. V., Bogoliubov N. N., Bogolyubov N. N., Bryuno A. D., Bryuno A. D., Chelomej V. N., Chelomej V. N., Dieckerhoff R., Dieckerhoff R., Dieckerhoff R., G. Gentile, J. A. Wright, Kapitsa P. L., Lazutkin V. F., M. Bartuccelli, Percival I., Reichl L., Stephenson A., Svanidze N. V.   +19 more
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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, Llibre, Jaume, Pérez-Chavela, Ernesto   +2 more
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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, C. Liverani, C.B. Croke, Carlangelo Liverani, D. Dolgopyat, D. Dolgopyat, D. Dolgopyat, D. Dolgopyat, D. Dolgopyat, D. Revuz, D.V. Anosov, Dmitry Dolgopyat, G. Basile, G. Basile, G.P. Paternain, H. Spohn, J. Bricmont, J. Bricmont, J. Lukkarinen, J.-L. Journé, J.-P. Eckmann, K. Aoki, M.Z. Guo, P. Collet, P. Gaspard, P. Gaspard, T.J. Hunt   +26 more
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Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals [PDF]

, 2017
Agraïments: The first author is partially supported by FEDER-UNAB-10-4E-378 and a CAPES grant 88881.
Llibre, Jaume, Teixeira, Marco Antonio
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On phenomenon of scattering on resonances associated with discretisation of systems with fast rotating phase

, 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, Anatoly Neishtadt, B. Fiedler, B.V. Chirikov, D. L. Bosley, F. Piro, J. Kevorkian, M. Condon, N.N. Bogolyubov, P. Chartier, Tan Su   +10 more
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Polynomial and linearized normal forms for almost periodic differential systems [PDF]

, 2015
Agraïments: The first author is partially supported by NSFC key program of China (no. 11231001). The MINECO/FEDER grant UNAB13-4E-1604. And the third is supported by NSFC for Young Scientists of China (no.
Li, Weigu, Llibre, Jaume, Wu, Hao
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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, Novaes, Douglas Duarte   +1 more
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