Discrete Dynamical Systems

Focusing on discrete dynamical systems, this book explores their application across various fields such as biology, economics, and engineering. It begins with one-dimensional, first-order, linear autonomous systems, detailing methods for analytical solutions and qualitative analysis. Key concepts include the evolution of state variables and the stability of steady-state equilibria. The text progresses to multi-dimensional, nonlinear, and higher-order systems, providing insights into the determinants of their trajectories and the underlying factors that influence system behavior.