ISSN:
1572-9613
Keywords:
Stochasticity limit
;
nonlinear oscillators
;
overlapping of resonances
;
nonlinear transformations
;
slow instability
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Qualitative analytic estimates of the stochasticity limit of one- and many-dimensional nonlinear oscillating systems are derived using the overlapping of first-order resonances as a criterion for stochasticity. Computational results obtained with several very simple transformations are compared with the analytic estimates. Numerical studies significantly below the stochasticity limit of a many-dimensional nonlinear system reveal an example of a very slow instability, the first, to the best of our knowledge.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01011386
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