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Autor:
Li, Yanguang Charles
In this paper, we study the discrete cubic nonlinear Schroedinger lattice under Hamiltonian perturbations. First we develop a complete isospectral theory relevant to the hyperbolic structures of the lattice without perturbations. In particular, Backl
Externí odkaz:
http://arxiv.org/abs/math/0302197
Autor:
Li, Yanguang Charles
For a general evolution equation with a Silnikov homoclinic orbit, Smale horseshoes are constructed.
Comment: Mathematical and Computer Modelling (in press)
Comment: Mathematical and Computer Modelling (in press)
Externí odkaz:
http://arxiv.org/abs/math/0302198
Autor:
LI, Yanguang Charles
Publikováno v:
Proceedings of Institute of Mathematics of NAS of Ukraine: Proceedings of the Fourth International Conference SYMMETRY in Nonlinear Mathematical Physics, 2002
In this article, I will report a Lax pair structure, a Backlund-Darboux transformation, and the investigation of homoclinic structures for 2D Euler equations of incompressible inviscid fluids.
Externí odkaz:
http://arxiv.org/abs/math/0205115