Title :
On the efficient computation of Lyapunov exponents
Author :
Udwadia, Firdaus E. ; Von Bremen, Hubertus F.
Author_Institution :
Dept. of Mech. Eng., Univ. of Southern California, CA, USA
Abstract :
An efficient and numerically stable method to determine all the Lyapunov characteristic exponents of a discrete dynamical system is presented. The method is compared with known methods in terms of efficiency, and the accuracy and stability of the methods are tested by numerical experiments
Keywords :
Lyapunov methods; discrete time systems; matrix algebra; nonlinear dynamical systems; numerical stability; Lyapunov exponents; accuracy; discrete dynamical system; efficiency; numerically stable method; Civil engineering; Matrix decomposition; Mechanical engineering; Nonlinear dynamical systems; Solids; Stability; System testing;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.626651
