Dynamical Systems

Characteristics of chaos

Chaos: Mathematically, this term is used to describe dynamical systems in which small changes in initial conditions lead to large changes in the solution after some period of time. It can be characterized by the following point:

  • Long-term behavior of a nonlinear dynamical system that never falls in any static or periodic trajectories.

  • looks like a random fluctuation, but still occurs in completely deterministic, simple dynamical systems.

  • Sensitivity to initial conditions.

  • Occurs when the period of the trajectory of the system's state diverges to infinity.

PreviousPreviousNextNext
HomepageHomepagePrintPrintCreated with Scenari (new window)