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7.4 Examples of fractals
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Lectures and tutorial on "Synergetics"
Terms: Synergetics
Introduction to synergy
1. Scientific picture of the world in the XVIII century.
2. Thermodynamics. Heat engine and water mill
2.2 The second law of thermodynamics. Entropy
2.3 Equilibrium conditions
2.4 Entropy and probability
2.5 Three stages of thermodynamics development
3. Open systems near the equilibrium point. Entropy production and flow
Dissipation function
3.3 Dissipation function Adjacent processes in open systems
3.4 Production and flow of entropy Thermodynamics of open systems and living organisms
4. Open systems far from equilibrium 4.1 Entropy pump. Dissipative structures
4.2 Entropy pump. Dissipative structures
4.3 Grashof and Prandtl numbers
4.4 Physical absorption and emission mechanisms
4.5 Laser as a nonlinear self-organizing system
4.6 Mathematical model of the laser.
4.7 Reaction Belousov-Zhabotinsky
5. Synergetics. 5.1 Principles of nature cognition. Empirical generalizations
5.2 Evolution Scenario
5.3 The concept of universal evolutionism
5.4 The simplest mathematical model of evolution
5.5 Verhulst Dynamics
5.6 In search of a new understanding of the world
6. Information. 6.1 Measure of Shannon Information
6.2 Shannon Formula
6.3 The Measure of Shannon Information Examples
6.4 Evaluation of information in the text
6.5 Redundancy of information. Coefficient of stochasticity
6.6 About the definition of the term information
6.7 Information and entropy
7. Fractals. 7.1 The Inevitability of Fractals
7.2 Construction of fractals. Fractional dimension
7.3 Mandelbrot Set
7.4 Examples of fractals
8. Synergetics and the evolution of society
8.2 Market Nature and society: the unity of the processes of self-organization
8.3 Evolution and environmental crises
8.4 Rationally organized society (ROO). Coevolution and RPO
8.5 Starting the third millennium
Conclusion and literature
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