Detecting order and chaos in three-dimensional Hamiltonian systems by geometrical methods.
We use a geometrical method to distinguish between ordered and chaotic motion in three-dimensional Hamiltonian systems. We show that this method gives results in agreement with the computation of Lyapunov characteristic exponents. We discuss some examples of unstable Hamiltonian systems in three dimensions, giving, as a particular illustration, detailed results for a potential obtained from a Hamiltonian obtained from a Yang-Mills system.
Ben Zion
Yossi
Y
Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel.
Horwitz
Lawrence
L