Zobrazeno 1 - 10
of 605
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
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
We present results towards a constructive approach to show the existence of quasi-periodic solutions in non-perturbative regimes of some dissipative systems, called conformally symplectic systems. Finding a quasi-periodic solution of conformally symp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b9bde14e762135bc18f698a5e28cc08
https://hdl.handle.net/2108/308236
https://hdl.handle.net/2108/308236
Publikováno v:
Celestial Mechanics and Dynamical Astronomy. 134
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffa6b714273969212f5aba585e738a48
https://doi.org/10.1007/s10569-021-10059-z
https://doi.org/10.1007/s10569-021-10059-z
In recent years, stable and unstable manifolds of invariant objects (such as libration points and periodic orbits) have been increasingly recognized as an efficient tool for designing transfer trajectories in space missions. However, most methods cur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::860f280dbe220f7ef44e9f49474d4da1
http://arxiv.org/abs/2109.14800
http://arxiv.org/abs/2109.14800