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Analytical Estimation of the Maximal lyapunov Exponent in Oscillator Chains
[article]
1998
arXiv
pre-print
An analytical expression for the maximal Lyapunov exponent λ_1 in generalized Fermi-Pasta-Ulam oscillator chains is obtained. The derivation is based on the calculation of modulational instability growth rates for some unstable periodic orbits. The result is compared with numerical simulations and the agreement is good over a wide range of energy densities ϵ. At very high energy density the power law scaling of λ_1 with ϵ can be also obtained by simple dimensional arguments, assuming that the
arXiv:cond-mat/9803001v1
fatcat:75jhs3ulhngmhosyed37vyq22q