Renormalization of the quasiperiodic transition to chaos for arbitrary winding numbers

Journal Article · Wed May 01 00:00:00 EDT 1985 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.31.3520· OSTI ID:5815992

Farmer, J D; Satija, I I

Previous renormalization analyses have demonstrated universal properties for the quasiperiodic transition to chaos. These theories have the unpleasant feature that universal properties depend on the winding number. We modify the renormalization transformation so that it has stable attractors. This allows us to study nonlocal properties by solving the equations numerically without linearizing. The resulting universal strange attractor contains the unstable fixed points of previous theories and has exponents that are independent of winding number.

• Research Organization: Center for Nonlinear Studies, MS B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5815992
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 31:5; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DECAY
FREQUENCY ANALYSIS
FUNCTIONS
MECHANICS
NONLINEAR PROBLEMS
NONLOCAL POTENTIAL
POTENTIALS
RENORMALIZATION
STATISTICAL MECHANICS
VARIATIONS