No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Transient chaos measurements using finite-time Lyapunov exponents
1.B. Hasselblatt and A. Katok, A First Course in Dynamics (Cambridge University Press, Cambridge, England, 2003).
2.H. G. Schuster, Deterministic Chaos (VCH Verlagsgesellschaft mbH, Germany, 1988).
3.D. K. Arrowsmith and C. M. Place, An Introduction to Dynamical Systems (Cambridge University Press, Cambridge, England, 1990).
4.P. Collet and J. -P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, (Birkhauser, Boston, 1980).
10.B. -L. Hao and T. Tel, Directions in Chaos (Word Scientific, Singapore, 1990), Vol. 3.
15.J. Thompson and H. B. Stewart, Nonlinear Dynamics and Chaos (Wiley, England, 2002).
16.E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1994).
17.V. I. Oseledec, Trans. Mosc. Math. Soc. 19, 197 (1968).
18.K. Buszko, Ph.D. thesis, Nicolaus Copernicus University, Toruń, 2006.
19.S. M. Ulam and J. von Neumann, Bull. Am. Math. Soc. 53, 1120 (1947).
30.K. Buszko, K. Piecyk, and K. Stefański, Proceedings of the XIV National Conference on Application of Mathematics in Biology and Medicine, 2008, p. 26.
Article metrics loading...
The notion of finite-time Lyapunov exponent averaged over initial conditions is used for characterizing transient chaos observed in one-dimensional maps. A model of its dependence on time is verified by comparing theoretically predicted values with those obtained numerically. Finally, the same model is used for estimating duration of transient chaos (rambling time) for some maps from the logistic family.
Full text loading...
Most read this month