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

Authors
Journal
Physica A Statistical Mechanics and its Applications
0378-4371
Publisher
Elsevier
Publication Date
Volume
87
Issue
2
Identifiers
DOI: 10.1016/0378-4371(77)90024-3
Disciplines
  • Mathematics

Abstract

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.

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