This tag is for questions relating to nonlinear-dynamics, the branch of mathematical physics that studies systems governed by equations more complex than the linear, $~aX+b~$ form.
- Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems.
- In general, systems involving flows (heat, fluid, etc) demonstrate nonlinear dynamics, but they also show up in classical mechanics (e.g. the three-body problem, the double-jointed pendulum).
- The method that is most used in nonlinear dynamics is Runge-Kutta.
- Nonlinear dynamical problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature.
- As nonlinear dynamical equations are difficult to solve, nonlinear systems are commonly approximated by linear equations (linearization).
For more details see https://en.wikipedia.org/wiki/Nonlinear_system
