47 citations · 608 across the 32 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
nlin.CD2014★ 47 cited
The phase-space of boxy-peanut and X-shaped bulges in galaxies I. Properties of non-periodic orbits
P. A. Patsis, M. Katsanikas
The investigation of the phase-space properties of structures encountered in a dynamical system is essential for understanding their formation and enhancement. In the present paper…
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…