Lyapunov Exponent of the MultiErgodic Motion in Hamiltonian Systems
Abstract
Statistical properties of the Lyapunov exponent lambda in Hamiltonian systems are studied numerically. Anomalous distributions of lambda are discussed from multiergodic aspects of Hamiltonian chaos. The fluctuation of lambda reveals a 1/f spectrum and the anomalous convergence. The results imply that the most probable value of the Lyapunov exponent approaches zero when the averaging time goes to infinity. Orbital weak instability for the multiergodic motion is discussed in relation to the Aentropy.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 October 1990
 DOI:
 10.1143/ptp/84.4.563
 Bibcode:
 1990PThPh..84..563K