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Abstract

A class of nonlinear system is studied. Firstly, the reaction-diffusion system with speed, temperature and humidity for a atmospheric nonlinear force dissipative system is discussed using the atmospheric nonlinear theory of thermodynamics and dynamics. Secondly, the small disturbed solution of atmospheric nonlinear reaction-diffusion system in the neighborhood of homogeneous steady state solution is obtained from the Lyapunov stability theory. Finally, from the variations of the control parameters for transgenic processes, the states of ordered-unordered-ordered processes of atmospheric nonlinear reaction-diffusion system are found. Thus the corresponding local atmospheric nonlinear force dissipative system can be predicated and calculated.

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Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 41175058, 11071205), the "Strategic Priority Research Program-Climate Change: Carbon Budget and Relevant Issues" of the Chinese Academy of Sciences (Grant No. XDA01020304), the Natural Science Foundation from the Education Bureau of Anhui Province, China (Grant No. KJ2011A135), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2011042) and the Foundation of the Education Department of Fujian Province, China (Grant No. JA10288).

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Vol. 61, Issue 14 - 2012-07-20

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