Dynamical Systems

A dynamical system is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each springtime in a lake.At any given time a dynamical system has a state given by a set of real numbers (a vector) that can be represented by a point in an appropriate state space (a geometrical manifold). Small changes in the state of the system create small changes in the numbers. The evolution rule of the dynamical system is a fixed rule that describes what future states follow from the current state.
Posts about Dynamical Systems
  • 2015 Breakthrough Prizes Winners Announced

    … a $3 million prize, and the ceremony will air in the U.S. on Discovery Channel and Science Channel Nov. 15 at 6 p.m. ET/PT, and globally on BBC World News the following weekend. Zuckerberg said in a press release announcing the winners: The world faces many fundamental challenges today, and there are many amazing scientists, researchers…

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