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Stochasticity in many-dimensional nonlinear oscillating systems (1971)

Chirikov, B. V. ; Keil, E. ; Sessler, A. M.

Springer

Journal of statistical physics 3 (1971), S. 307-321

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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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