Lyapunov Exponents from Node-Counting Arguments

Details Lyapunov Exponents from Node-Counting Arguments Lyapunov Exponents from Node-Counting Arguments

1998-03-03

arxiv.org/abs/chao-dyn/9803002v1

J. de Physique IV, 8 (1998) Pr6-263

Physics

Condensed Matter

Latex, 8 pages, 4 Figs - Contribution to the Conference "Disorder and Chaos" held in memory of Giovanni Paladin (Sept. 1997 -

Scientific paper

A conjecture connecting Lyapunov exponents of coupled map lattices and the node theorem is presented. It is based on the analogy between the linear stability analysis of extended chaotic states and the Schr\"odinger problem for a particle in a disordered potential. As a consequence, we propose an alternative method to compute the Lyapunov spectrum. The implications on the foundation of the recently proposed ``chronotopic approach'' are also discussed.

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