Nonlinear dynamics is a branch of mathematics that focuses on the behavior of complex systems that cannot be accurately described by linear equations. Using techniques such as chaos theory, bifurcation and fractal geometry, nonlinear dynamics provides a way to understand and predict chaotic systems, such as weather patterns and financial markets. The behavior of nonlinear systems can be highly dependent on initial conditions and often exhibits patterns of alternating stability and instability. Nonlinear dynamics has applications in fields such as physics, economics, and biology, allowing us to better understand complex interrelationships within these diverse fields.

See also: network dynamics, complexity science, emergent property, game theory, systems thinking