Universal strange attractor underlying Hamiltonian stochasticity

Journal Article · Mon Feb 16 00:00:00 EST 1987 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.58.623· OSTI ID:6627047

Satija, I I

In the past the universal features of the breakup of the last Kolmogorov-Arnol'd-Moser (KAM) torus has been studied by use of renormalization theory. In this case, the renormalization equations converge to a fixed point representing a map with nonsmooth noble circle. The work described in this paper strongly suggests that the breakup of any KAM torus with arbitrary winding number can be described by chaotic renormalization equations which converge on a strange attractor. The properties of this attractor are global scaling exponents characterizing the breakup of almost all KAM tori. This work unifies the quasiperiodic transitions to chaos in Hamiltonian and dissipative systems.

• Research Organization: Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 6627047
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 58:7
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DYNAMICS
RENORMALIZATION
HAMILTONIANS
MAPS
MONTE CARLO METHOD
PHASE SPACE
STOCHASTIC PROCESSES
TRAJECTORIES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
QUANTUM OPERATORS
SPACE
657000* - Theoretical & Mathematical Physics