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Physics Letters A

Volume 110, Issues 7–8, 12 August 1985, Pages 429-431
Physics Letters A

Correlation exponents for trajectories in the low-dimensional discrete selftrapping equation☆

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Abstract

The non-linear dynamics of small polyatomic molecules has recently been modeled by the discrete selftrapping equation (DST) for which an alternative formulation is given. In the three-bond case of this hamiltonian system chaos occurs in the intermediate range of the non-linearity to dispersion ratio. Here calculations of the Grassberger-Procaccia correlation exponent exhibit noninteger values.

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☆

Supported by the Danish Council for Scientific and Industrial Research and Phillips Foundation of 1958.

1

Permanent address: Department of Mathematics, Imperial College, London SW7 2BZ, UK.

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