Autosolitons

One. Physics of Autosolitons and Phenomena of Self-Organization in Active Systems.- 1. “Ball Lightning” in Semiconductors and Gases.- 2. Regions of High or Low Electron Temperature in Heated Semiconductor and Gas Plasmas.- 3. Traveling Pulses and Other Autowaves in Excitable Media.- 4. Static, Traveling, and Pulsating Autosolitons.- 5. Current Filaments in Systems with Single-Valued Voltage-Current Characteristic.- 6. Static and Traveling Strata in Solids and Gases.- 7. Hot Spots in Semiconductors and Semiconductor Structures.- 8. Autosolitons In Other Active Media.- 9. Classification of Active Distributed Media.- 10. Classification of Autosolitons and Phenomena of Self-Organization.- Two. Theory of Autosolitons.- 11. Static Autosolitons in One-Dimensional Media (KN and K?-Systems).- 12. Stability and Evolution of Static Autosolitons in One-Dimensional Media (KN and K?—Systems).- 13. Static Autosolitons in Two and Three-Dimensional Media (KN and K?—Systems).- 14. Theory of Strata: Interacting One-Dimensional Autosolitons (KN and K?—Systems).- 15. Spike Static Autosolitons and Strata (K? and KV—Systems).- 16. Pulsating Autosolitons (K?—Systems).- 17. Traveling Autosolitons and Autowaves (K? and ?—Systems).- 18. Autosolitons in Bistable (Trigger) Systems.- Three. Scenarios of Self-Organization and Turbulence in Active Distributed Media.- 19. Structures Near Stratification Point of Homogeneous State of the System.- 20. Effects Definitive for Rearrangement of Autosolitons and Strata (K—Systems).- 21. Scenarios of Self-Organization in Ideally Homogeneous One-Dimensional Systems.- 22. Scenarios of Self-Organization in Real One-Dimensional Systems.- 23. Self-Organization in Two and Three-Dimensional Systems.- 24. Turbulence in Active Systems.-Conclusion.- Appendix 1. Asymptotic Theory of Static Autosolitons and Strata.- A1.1. One-Dimensional Broad Autosoliton (KN and K?—Systems).- A1.2. Periodical Broad Strata (KN and K?—Systems).- A1.3. Radially Symmetric Autosoliton (KN and K?—Systems).- A1.4. Narrow Spike Autosolitons.- A1.4.1. General Results.- A1.4.2. Examples of Autosolitons in Some Models.- Appendix 2. Analytical Investigation of Autosolitons and Strata in an Axiomatic Model of Active Medium with Diffusion.- A2.1. Static Autosoliton.- A2.2. Stability of Static Autosoliton in One-Dimensional Media (K—System).- A2.2.1. Form of Critical Fluctuations.- A2.2.2. Evolution of Autosolitons.- A2.3. Static Kink: A Domain Wall of Complex Form.- A2.4. Conditions of Stratification of Walls of Static One-Dimensional Autosoliton.- A2.5. Pulsating Autosoliton (K?—systems).- A2.6. Static Autosoliton of Complex Shape.- References.