Nonlinear Systems - Practical Applications and Contemporary Challenges

Nonlinear systems present a set of challenges, primarily due to their complex and unpredictable behavior. Unlike linear systems, where inputs and outputs maintain a proportional relationship, nonlinear systems can exhibit phenomena such as chaos, bifurcations, and multistability. This makes predicting system behavior challenging, as minor changes in inputs or initial conditions can yield vastly different outcomes. Another significant challenge is controlling and stabilizing nonlinear systems, especially in practical applications such as robotics, energy systems, and climate modeling. Over three sections, this book aims to delve into this type of system from theoretical approaches to practical applications. A wide range of topics, including the analysis of stability and bifurcations, the control of dynamics, and the prediction of behavior in different biological, physical, and theoretical situations, is covered.