Abstract
The aim of this chapter is to present a brief outline of the background theories essential for understanding numerous non-equilibrium phenomena, such as chemical and biological oscillations, spirals and so on. Oscillations are one of the most common phenomena in chemical and biological systems. Oscillations of chemical origin have been present since life originated. Every living system contains thousands of chemical and biological oscillators. The systematic study of oscillating chemical reactions and subsequently the broader field of Nonlinear Dynamics is of considerably fundamental domain of research in recent decades. The chapter starts with a brief outline of some background history of chemical oscillations followed by the basic thermodynamic explanations and stability analysis. A short glimpse of Phase plane analysis and Limit cycles are given. One dimensional stability analysis is followed by two dimensional one. Relaxation oscillation is explained both theoretically and graphically.
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