A comment on the reliability of the Toda criterion for the existence of a stochastic transition

G. Benettin, R. Brambilla and L. Galgani

Physica A: Statistical Mechanics and its Applications, 1977, vol. 87, issue 2, 381-390

Abstract: We present two examples of hamiltonian systems where ordered motions occur in spite of local exponential divergences. The conclusion is that Toda's criterion, which relies on local stability properties, cannot be used in general as a sufficient criterion to ensure stochastic behaviour of trajectories.

Date: 1977
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:87:y:1977:i:2:p:381-390

DOI: 10.1016/0378-4371(77)90024-3

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