Nonlinear analysis is a branch of mathematics that deals with the study of functions that do not follow the linear property. In this field, researchers investigate complex systems that exhibit nonlinear behavior, often characterized by chaotic dynamics, bifurcations, and other nontrivial phenomena. Nonlinear analysis is utilized in various fields such as physics, biology, economics, and engineering to model and understand intricate systems where linear methods are inadequate. Researchers in this area often use tools from calculus, dynamical systems theory, and differential equations to study the behavior of nonlinear systems and predict their future trajectories.