Zobrazeno 1 - 10
of 155
pro vyhledávání: '"Rafael de la Llave"'
Autor:
Rafael De la Llave, Qinbo Chen
Publikováno v:
Nonlinearity. 35:1986-2019
The genericity of Arnold diffusion in the analytic category is an open problem. In this paper, we study this problem in the following a priori unstable Hamiltonian system with a time-periodic perturbation H ε ( p , q , I , φ , t ) = h ( I ) + ∑ i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86ff9235e54e1e284f2bf6c8c9b7ff80
https://doi.org/10.1088/1361-6544/ac50bb
https://doi.org/10.1088/1361-6544/ac50bb
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 20:1514-1543
We present algorithms and their implementation to compute limit cycles and their isochrons for state-dependent delay equations (SDDE's) which are perturbed from a planar differential equation with a limit cycle. Note that the space of solutions of an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89e9b4fb64f60c627fb1126b5db2ff00
https://doi.org/10.1137/20m1336965
https://doi.org/10.1137/20m1336965
Publikováno v:
Mathematics Research Reports. 1:15-29
We investigate the existence of whiskered tori in some dissipative systems, called \sl conformally symplectic \rm systems, having the property that they transform the symplectic form into a multiple of itself. We consider a family $f_\mu$ of conforma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28df1278909f348d657500d04c15d04f
https://doi.org/10.5802/mrr.4
https://doi.org/10.5802/mrr.4
Autor:
Hongyu Cheng, Rafael de la Llave
Publikováno v:
Journal of Differential Equations. 268:4830-4899
We prove several results establishing existence and regularity of stable manifolds for different classes of special solutions for evolution equations (these equations may be ill-posed): a single specific solution, an invariant torus filled with quasi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e37cb07955afea3355640fc4acf4899e
https://doi.org/10.1016/j.jde.2019.10.042
https://doi.org/10.1016/j.jde.2019.10.042
Autor:
Lu Xu, Rafael de la Llave
Publikováno v:
Journal of Dynamics and Differential Equations. 33:1-34
We prove persistence result of whiskered tori for the dynamical system which preserves an exact presymplectic form. The results are given in an a-posteriori format. Given an approximate solution of an invariance equation which satisfies some non-dege
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c11722b6c1e97cce27f2299ea7e0500
https://doi.org/10.1007/s10884-020-09823-w
https://doi.org/10.1007/s10884-020-09823-w
Autor:
Rafael de la Llave, Hongyu Cheng
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 40:6709-6745
We consider externally forced equations in an evolution form. Mathematically, these are skew systems driven by a finite dimensional dynamical system. Two very common cases included in our treatment are quasi-periodic forcing and forcing by a stochast
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2d3cf8148328165dcae6a829f71594d
https://doi.org/10.3934/dcds.2020213
https://doi.org/10.3934/dcds.2020213
Autor:
Fenfen Wang, Rafael de la Llave
Publikováno v:
SIAM Journal on Mathematical Analysis. 52:3149-3191
We consider several models (including both multidimensional ordinary differential equations (ODEs) and partial differential equations (PDEs), possibly ill-posed), subject to very strong damping and quasi-periodic external forcing. We study the existe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5bcf68a1c8aa16c7308c136265b880b
https://doi.org/10.1137/19m1272159
https://doi.org/10.1137/19m1272159
We provide evidence of the existence of KAM quasi-periodic attractors for a dissipative model in Celestial Mechanics. We compute the attractors extremely close to the breakdown threshold. We consider the spin-orbit problem describing the motion of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e05beead22509755dfcea0c49563feb9
https://hdl.handle.net/2108/308241
https://hdl.handle.net/2108/308241
Autor:
Xiaolong He, Rafael de la Llave
It is well known for experts that resonances in nonlinear systems lead to new invariant objects that lead to new behaviors. The goal of this paper is to study the invariant sets generated by resonances under foliation preserving torus maps. That is t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ff70995c3a79a3e4cd18b0f2da846b2
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783031131141
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d843c34257acfb429dcc2d9672542a54
https://doi.org/10.1007/978-3-031-13115-8_3
https://doi.org/10.1007/978-3-031-13115-8_3