The standard map xâ€² = x+yâ€², yâ€² = y+(K/2Ï€)sin(2Ï€x), where both x and y are given modulo 1, becomes mostly chaotic for K â‰¥ 8, but important islands of stability appear in a recurrent way for values ofâ€¦ (More)

We study the orbits in a Mankoâ€“Novikov type metric (MN) which is a perturbed Kerr metric. There are periodic, quasi-periodic, and chaotic orbits, which are found in configuration space and on aâ€¦ (More)

We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits fromâ€¦ (More)

We distinguish two types of stickiness in systems of two degrees of freedom (a) stickiness around an island of stability and (b) stickiness in chaos, along the unstable asymptotic curves of unstableâ€¦ (More)