Study On Non-linear Dynamics For Global Behavior Of CO₂ Greenhouse Effect By Cell Mapping Method

For air pollution evaluation and control it is an important task to research and describe the mechanism of chemical transformation, the mode of physical diffusion, the process of evolution, and the behavior of chemical pollutants in atmosphere. However, the conventional experimental methods are not feasible or operable in archiving this, so the methods and theory of mathematical modeling need to be constructed. As a result, atmospheric environment models have become one of the most important ways to study the distribution, collection, evolution, and transformation of chemical pollutants in the media of atmosphere. Via combination of the modeling results and experimental data, the evolution behavior of chemical pollutants in atmosphere can be described and predicated quantitatively. Furthermore, the course of pollution in the extreme conditions can be demonstrated and the process of premised chemical reactions can be verified by the simulation, and then some results can be attained, which are difficult or impossible to reach by conventional experimental methods in laboratory or nature.The characters of chemical pollutants' physical and chemical fate in the media of atmosphere include forcing, dissipation, and non-linearity. Behavior of chemical pollutants appears especially complex and unpredictable in long term. It is difficult for conventional analysis method to analyze atmospheric environment system globally and dynamically, particularly uncover the essence of complex atmospheric environment system. Simple Cell Mapping method is one of the most effective numerical analysis ways to solve such problems. The theory and the algorithm are improved in this paper, and then introduced in the field of model researching of chemical pollutions in atmosphere.Simple cell mapping is improved by altering cell and combined with point mapping respectively to enhance the ability and reliability of global analysis. As an example, pseudo-periodic cells, which were included in the numerical solutions given by conventional cell mapping method, can be excluded from the attractors. In this paper, simple cell mapping method is able to analyze and study the extremely complex non-linear system of atmospheric environment. Then a non-linear model is developed, which includes mechanism of how the concentration of greenhouse gas, especially carbon dioxide, influences the ocean temperature, the atmosphere temperature, and theamount of cloud. The results show that the trend of the concentration of carbon dioxide changing with time can be simulated, predicted and extended successfully with improved simple cell mapping, and the simulation can fit well with the observation data.In addition, the results of global analysis of energy balance climatic model indicate that the improved simple cell mapping, can reveal the evolution process of complex atmospheric system with stable spiral and limiting cycles, and point out the most sensitive coefficient. According to the trend of domains of attraction, the mechanism of influences on the rules and the stability of atmosphere environment behavior by concentration of carbon dioxide are analyzed quantitatively. This provides further research with important method and results on the internal mechanism of response for atmospheric system to the changing of carbon dioxide concentration.