On the Effective Liapunov Exponent with Increasing Stochasticity for Tokamap

2004 ◽  
Vol 44 (4) ◽  
pp. 327-334
Author(s):  
A. Maluckov
Keyword(s):  
Liapunov Exponent

scholarly journals A criterion for the positivity of the Liapunov characteristic exponent

1984 ◽  
Vol 4 (4) ◽  
pp. 527-539 ◽  
Author(s):  
Eric Cornelis ◽  
Maciej Wojtkowski
Keyword(s):  
Finite Subset ◽  
Sufficient Conditions ◽  
Characteristic Exponent ◽  
Two Dimensional ◽  
Dimensional Torus ◽  
Liapunov Exponent ◽  
Mixing Properties ◽  
Analytical Formulation

AbstractWe formulate sufficient conditions under which, for a finite subset of SL (2, ℝ), the maximal Liapunov exponent is positive. These conditions are based on the notion of compatible hyperbolicity. We then give an analytical formulation of such a condition and we apply this criterion to prove mixing properties of a particular transformation of the two-dimensional torus.

New method for determining the largest Liapunov exponent of simple nonlinear systems

1986 ◽  
Vol 33 (5) ◽  
pp. 3547-3549 ◽  
Author(s):  
H. G. Schuster ◽  
S. Martin ◽  
W. Martienssen
Keyword(s):  
Nonlinear Systems ◽  
New Method ◽  
Liapunov Exponent

Effective radial Liapunov exponent for the radial diffusion of test electrons

2003 ◽  
Vol 43 (34) ◽  
pp. 198-205 ◽  
Author(s):  
A. Maluckov ◽  
N. Nakajima ◽  
M. Okamoto ◽  
S. Murakami ◽  
R. Kanno
Keyword(s):  
Radial Diffusion ◽  
Liapunov Exponent

Coexistence of Periodic Roll Motion and Chaotic One in a Forced Flooded Ship

1998 ◽  
Vol 08 (03) ◽  
pp. 619-626 ◽  
Author(s):  
Sunao Murashige ◽  
Kazuyuki Aihara
Keyword(s):  
Mathematical Model ◽  
Time Series ◽  
Periodic Solution ◽  
Time Series Data ◽  
Series Data ◽  
Roll Motion ◽  
Positive Maximum ◽  
Liapunov Exponent ◽  
Wave Condition ◽  
Low Dimensional

This letter describes the coexistence of periodic and chaotic roll motion of a flooded ship in waves. We found experimentally, both with a flooded ferry model and with a simplified box-shaped model, that the two types of roll motion can coexist under the same wave condition. A trajectory reconstructed in a delay-coordinate state space from the time series data of the measured roll angle looks like a low-dimensional strange attractor. Moreover, a mathematical model for the simplified box-shaped ship shows the coexistence of a periodic solution and a chaotic one with a positive maximum Liapunov exponent.

Sign in / Sign up

Export Citation Format

Share Document