LABYRINTH CHAOS.

Authors :: SPROTT, J. C.
CHLOUVERAKIS, KONSTANTINOS E.
Source :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering; Jun2007, Vol. 17 Issue 6, p2097-2108, 12p, 7 Diagrams, 11 Graphs
Publication Year :: 2007
Abstract: A particularly simple and mathematically elegant example of chaos in a three-dimensional flow is examined in detail. It has the property of cyclic symmetry with respect to interchange of the three orthogonal axes, a single bifurcation parameter that governs the damping and the attractor dimension over most of the range 2 to 3 (as well as 0 and 1) and whose limiting value b = 0 gives Hamiltonian chaos, three-dimensional deterministic fractional Brownian motion, and an interesting symbolic dynamic. [ABSTRACT FROM AUTHOR]

Subjects :: CHAOS theory
DIFFERENTIABLE dynamical systems
DYNAMICS
SYSTEMS theory
BIFURCATION theory
PHYSICS

Language :: English
ISSN :: 02181274
Volume :: 17
Issue :: 6
Database :: Complementary Index
Journal :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :: Academic Journal
Accession number :: 26431223
Full Text :: https://doi.org/10.1142/S0218127407018245