p-Adic dynamics

Journal Article · Wed Feb 01 00:00:00 EST 1989 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01019780· OSTI ID:5627031

Thiran, E; Verstegen, D; Weyers, J

The quadratic map over p-adic numbers is studied in some detail. The authors prove that near almost all indifferent fixed points it is topologically conjugate to a quasiperiodic linear map. They also establish the existence of chaotic behavior and describe it using symbolic dynamics.

• Research Organization: Universite Catholique de Louvain, Louvain-la-Neuve (Belgium)
• OSTI ID: 5627031
• Journal Information: J. Stat. Phys.; (United States), Vol. 54:3-4
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
NONLINEAR PROBLEMS
MATHEMATICAL MANIFOLDS
DYNAMICS
ITERATIVE METHODS
METRICS
QUANTUM MECHANICS
SET THEORY
STATISTICAL MECHANICS
STRING MODELS
TOPOLOGICAL MAPPING
TOPOLOGY
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
MAPPING
MATHEMATICAL MODELS
MATHEMATICS
MECHANICS
PARTICLE MODELS
QUARK MODEL
TRANSFORMATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics