Dimension of the universal attractor describing the periodically driven Sine-Gordon equations
- 1 March 1987
- journal article
- research article
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 16 (2-3) , 253-265
- https://doi.org/10.1080/00411458708204663
Abstract
In this work we give a rigorous and explicit bound of the fractal dimension of the universal attractor describing the long time behavior of the damped Sine-Gordon equation driven by a time-periodic force. The dependence of the dimension in terms of the physical quantities is provided.Keywords
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