Iyengar, R. N. (1991) Stochastic characterization of chaos in a nonlinear system Physics Letters A, 154 (7-8). pp. 357-360. ISSN 0375-9601
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037596...
Related URL: http://dx.doi.org/10.1016/0375-9601(91)90032-4
Abstract
The solution of a nonlinear oscillator with random initial conditions is considered. The differential equations governing the moments of the response are derived. In the limit the variances of the initial conditions vanish, the system is strictly deterministic. However, it is found that in a certain range of parameter values the moment equations do not lead to bounded response variances. This property provides a new approach to study onset of chaos.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 12655 |
| Deposited On: | 12 Nov 2010 15:35 |
| Last Modified: | 03 Jun 2011 08:50 |
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