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math.AP2003
Chaos in PDEs and Lax Pairs of Euler Equations
Yanguang Charles Li
Recently, the author and collaborators have developed a systematic program for proving the existence of homoclinic orbits in partial differential equations. Two typical forms of ho…
math.AP2003
Existence of Chaos in Evolution Equations
Yanguang Charles Li
For a general evolution equation with a Silnikov homoclinic orbit, Smale horseshoes are constructed.
math.AP2003
Homoclinic Tubes in Discrete Nonlinear Schroedinger Equation Under Hamiltonian Perturbations
Yanguang Charles Li
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…