T-Points: a codimension two heteroclinic bifurcation

Journal Article · Thu May 01 04:00:00 EDT 1986 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01020649· OSTI ID:6936339

Glendenning, P; Sparrow, C

The local bifurcation structure of a heteroclinic which has been observed in the Lorenz equations is analyzed. The existence of a particular heteroclinic loop at one point in a two-dimensional parameter space (a ''T point'') implies the existence of a line of heteroclinc loops and a logarithmic spiral of homoclinic orbits, as well as countably many other topologically more complicated T points in a small neigborhood in a parameter space.

• Research Organization: Univ. of Warwick, Coventry
• OSTI ID: 6936339
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 43:3/4; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FIELD THEORIES
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
LORENTZ TRANSFORMATIONS
MAPPING
MATHEMATICAL MANIFOLDS
MATHEMATICS
RELATIVITY THEORY
TOPOLOGICAL MAPPING
TOPOLOGY
TRAJECTORIES
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS