scholarly journals KOLMOGOROV CAPACITY AND LYAPUNOV DIMENSION OF STRANGE ATTRACTORS OF FORCED BRUSSELATOR

1984 ◽  
Vol 33 (9) ◽  
pp. 1246
Author(s):  
WANG GUANG-RUI ◽  
CHEN SHI-GANG ◽  
HAO BAI-LIN
Keyword(s):  
Strange Attractors ◽  
Lyapunov Dimension

A MAXIMALLY CHAOTIC 3D AUTONOMOUS SYSTEM

2004 ◽  
Vol 14 (12) ◽  
pp. 4215-4232 ◽  
Author(s):  
EFTHYMIOS KOTSIALOS ◽  
MANOS ROUMELIOTIS ◽  
MILTIADES ADAMOPOULOS
Keyword(s):  
Nonlinear Oscillation ◽  
Limit Cycles ◽  
Autonomous System ◽  
High Order ◽  
Strange Attractors ◽  
Lyapunov Dimension ◽  
Dynamical Properties

In this paper we investigate the dynamical properties of an autonomous system of three ODEs, which exhibits nonlinear oscillation couplings and resonances of high order. This system can be characterized as maximally chaotic, due to its ability to present an attractor of Lyapunov dimension anywhere between 2 and almost 3, thus featuring sink points, limit cycles and strange attractors, some very dense among them, subject to the control of a set of parameters. It incorporates quadratic as well as cubic nonlinearities.

MULTI-FRACTALS OF STRANGE ATTRACTORS IN PARALLEL-PUMPED SPIN-WAVE INSTABILITIES

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1599-C8-1600
Author(s):  
K. Nakamura ◽  
M. Mino ◽  
H. Yamazaki
Keyword(s):  
Spin Wave ◽  
Strange Attractors ◽  
Wave Instabilities
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