The natural phenomena of this world are intrinsically non-linear. In the science fields, non-linear effects are important concepts. It is now common to experiment an error or noise and reevaluation it for an explanation. In this book, an attempt is made to explore dynamics through computer simulation. Suitable mathematical model is assumed for simple dynamical system. The Fixed points, Periodic doubling phenomenon, Chaos & Bifurcation, Sensitiveness of function to initial condition and chaotic behavior in Chua''s circuit are analyzed. This book will be very useful for initial level learners in the fields of chaos & bifurcation, numerical analysis and simple nonlinear dynamical systems.