115 citations · 744 across the 44 of their papers we have counts for
Showing 2014 · nlin.CDShow all
2 papers · 2 filters
nlin.CD2014
Analytical study of the structure of chaos near unstable points
G. Contopoulos, C. Efthymiopoulos, M. Katsanikas
In a 2D conservative Hamiltonian system there is a formal integral besides the energy H. This is not convergent near a stable periodic orbit, but it is convergent near an unsta…
nlin.CD2014★ 10 cited
Analytical invariant manifolds near unstable points and the structure of chaos
C. Efthymiopoulos, G. Contopoulos, M. Katsanikas
It is known that the asymptotic invariant manifolds around an unstable periodic orbit in conservative systems can be represented by convergent series (Cherry 1926, Moser 1956, 1958…