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Global analysis theory of climate system and its applications
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The idea and main theoretical results of the global analysis theory of climate system are briefly summarized in this paper. A theorem on the global behavior of climate system is given, i.e. there exists a global attractor in the dynamical equations of climate, any state of climate system will be evolved into the global attractor as time increases, indicating the nonlinear adjustment process of climate system to external forcing. The different effects of external forcing, dissipation and nonlinearity on the long-term behavior of solutions are pointed out, and some main applications of the global analysis theory are also introduced. Especially, three applications, the adjustment and evolution processes of climate, the principle of numerical model design and the optimally numerical integration, are discussed.
climate systemglobal analysisglobal attractorprinciple of operator constraintcomputational uncertainty principle
LI Jianping、CHOU Jifan
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LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
Department of Atmospheric Sciences, Lanzhou University, Lanzhou 730000, China
Training Center for China Meteorological Administration, Beijing 100081, China