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Dimension of the universal attractor describing the periodically driven Sine-Gordon equations

 

作者: Jean-Michel Ghidaglia,   Roger Temam,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 1987）
卷期: Volume 16, issue 2-3  

页码: 253-265

 

ISSN:0041-1450

 

年代: 1987

 

DOI:10.1080/00411458708204663

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

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.

 

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