2 papers
chao-dyn1999
Non-Integrability and Infinite Branching of Solutions of 2DOF Hamiltonian Systems in Complex Plane of Time
Vassilios M. Rothos, Tassos C. Bountis
It has been proved by S.L.Ziglin, for a large class of 2-degree-of-freedom (d.o.f) Hamiltonian systems, that transverse intersections of the invariant manifolds of saddle fixed poi…
chao-dyn1999
Mel'nikov Analysis of Homoclinic Chaos in a Perturbed sine-Gordon Equation
Vassilios M. Rothos
We describe and characterize rigorously the chaotic behavior of the sine-Gordon equation. The existence of invariant manifolds and the persistence of homoclinic orbits for a pertur…