Complex Dynamics in Several Variables
نویسندگان
چکیده
1. Motivation 117 2. Iteration of Maps 118 3. Regular Versus Chaotic Behavior 119 4. The Horseshoe Map and Symbolic Dynamics 120 5. Hénon Maps 123 6. Properties of Horseshoe and Hénon Maps 126 7. Dynamically Defined Measures 127 8. Potential Theory 129 9. Potential Theory in One-Variable Dynamics 131 10. Potential Theory and Dynamics in Two Variables 133 11. Currents and Applications to Dynamics 136 12. Currents and Hénon Maps 138 13. Heteroclinic Points and Pesin Theory 140 14. Topological Entropy 142 15. Suggestions for Further Reading 144 References 144 Index 147
منابع مشابه
Some inequalities in connection to relative orders of entire functions of several complex variables
Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.
متن کاملDynamic Thinking Approach of Non-medical Use of Pharmaceutical Opioids
The unsteady increase in using pharmaceutical opioids is a phenomenon that has existed in human societies for a long time. Furthermore, the ever-growing trend of addiction to opioids affects communities in various economic, social, and cultural aspects. Since abusing pharmaceutical opioids is a complex dynamic problem, it is extremely difficult to recognize the factors influencing this abuse. T...
متن کاملDynamic Thinking Approach of Non-medical Use of Pharmaceutical Opioids
The unsteady increase in using pharmaceutical opioids is a phenomenon that has existed in human societies for a long time. Furthermore, the ever-growing trend of addiction to opioids affects communities in various economic, social, and cultural aspects. Since abusing pharmaceutical opioids is a complex dynamic problem, it is extremely difficult to recognize the factors influencing this abuse. T...
متن کاملSupply Chain Challenges in Pharmaceutical Manufacturing Companies: Using Qualitative System Dynamics Methodology
In today’s competitive market environment, pharmaceutical companies have learned that improving supply chain performance is critical to maintain competitive advantages. Forecasting, planning, procurement, financing, stock levels, and marketing strategies are some of the areas in which managers have to decide about them and balance their enter-related effects simultaneously, to achieve organizat...
متن کاملDynamics of alaninaminotransferase activity in subcellular fractions of different areas of brain cortex and hypothalamus in postnatal ontogenesis under protein-free feeding regime and after its withdrawal
Total and specific activities of alaninaminotransferase (Al-AT) were determined in general tissues, mitochondrial and cytosol fractions of visual, orbital, motor, limbic areas of brain cortex and hypothalamus of three-month old and one-year old rats under 10-20 days and 30 days protein deprivation and under recovery of normal food regime during the same terms. It was found out that Al-AT activi...
متن کاملDynamics of alaninaminotransferase activity in subcellular fractions of different areas of brain cortex and hypothalamus in postnatal ontogenesis under protein-free feeding regime and after its withdrawal
Total and specific activities of alaninaminotransferase (Al-AT) were determined in general tissues, mitochondrial and cytosol fractions of visual, orbital, motor, limbic areas of brain cortex and hypothalamus of three-month old and one-year old rats under 10-20 days and 30 days protein deprivation and under recovery of normal food regime during the same terms. It was found out that Al-AT activi...
متن کامل