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Conference Paper

Lyapunov exponents from node-counting arguments

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Politi,  Antonio
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Lepri,  Stefano
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Politi, A., Torcini, A., & Lepri, S. (1998). Lyapunov exponents from node-counting arguments. JOURNAL DE PHYSIQUE IV, 8(P6), 263-270.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-A71C-0
Abstract
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 Schrodinger 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.