The natural phenomena of this world are intrinsically non-linear. In the science fields, nonlinear effects are important concepts. It is now common to experiment an error or noise and re-evaluation it for explanations. 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 and 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 and bifurcation, numerical analysis and simple nonlinear dynamical systems.