Combustion systems are confined fields of compressible fluids where exothermic processes of combustion take place, subject to boundary conditions imposed at its borders. The subject of Dynamics of Combustion Systems is presented in three parts. Part 1 - Exothermicity - considering the thermodynamic effects due to evolution of exothermic energy in a combustion system, it includes: Chapter 1 Thermodynamic Aspects; Chapter 2 Evolutionary Aspects; Chapter 3 Heat Transfer Aspects; and, Chapter 4 Chemical Kinetic Aspects. Part 2 - Field - exposing the dynamic properties of flow fields where the exothermic energy is deposited, it contains: Chapter 5 Aerodynamic Aspects; Chapter 6 Random Vortex Method; Chapter 7 Gasdynamic Aspects; and, Chapter 8 Gasdynamic Fronts. Part 3 - Explosions - revealing the dynamic features of fields and fronts due to rapid deposition of exothermic energy, it features: Chapter 9 Blast Wave Theory; Chapter 10 Self-Similar Solution; Chapter 11 Phase Space Method; and, Chapter 12 Detonation.