TY - JOUR
T1 - Applications of geometrical criteria for transition to Hamiltonian chaos
AU - Ben Zion, Yossi
AU - Horwitz, Lawrence
PY - 2008/9/9
Y1 - 2008/9/9
N2 - Using a recently developed geometrical method, we study the transition from order to chaos in an important class of Hamiltonian systems. We show agreement between this geometrical method and the surface of section technique applied to detect chaotic behavior. We give, as a particular illustration, detailed results for an important class of potentials obtained from the perturbation of an oscillator Hamiltonian by means of higher-order polynomials.
AB - Using a recently developed geometrical method, we study the transition from order to chaos in an important class of Hamiltonian systems. We show agreement between this geometrical method and the surface of section technique applied to detect chaotic behavior. We give, as a particular illustration, detailed results for an important class of potentials obtained from the perturbation of an oscillator Hamiltonian by means of higher-order polynomials.
UR - http://www.scopus.com/inward/record.url?scp=51849132426&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.78.036209
DO - 10.1103/PhysRevE.78.036209
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AN - SCOPUS:51849132426
SN - 1539-3755
VL - 78
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 036209
ER -