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  2. Sharkovskii's theorem - Wikipedia

    en.wikipedia.org/wiki/Sharkovskii's_theorem

    Sharkovskii's theorem does not immediately apply to dynamical systems on other topological spaces. It is easy to find a circle map with periodic points of period 3 only: take a rotation by 120 degrees, for example. But some generalizations are possible, typically involving the mapping class group of the space minus a periodic orbit.

  3. List of chaotic maps - Wikipedia

    en.wikipedia.org/wiki/List_of_chaotic_maps

    Download as PDF; Printable version; ... Chaotic maps often occur in the study of dynamical systems. ... 2D Lorenz system [1] discrete: real: 2: 1:

  4. Discrete event dynamic system - Wikipedia

    en.wikipedia.org/wiki/Discrete_event_dynamic_system

    Download QR code; Print/export Download as PDF; Printable version; In other projects ... In control engineering, a discrete-event dynamic system (DEDS) is a discrete ...

  5. Dynamical system - Wikipedia

    en.wikipedia.org/wiki/Dynamical_system

    A discrete dynamical system, discrete-time dynamical system is a tuple (T, M, Φ), where M is a manifold locally diffeomorphic to a Banach space, and Φ is a function. When T is taken to be the integers, it is a cascade or a map. If T is restricted to the non-negative integers we call the system a semi-cascade. [14]

  6. Dynamical systems theory - Wikipedia

    en.wikipedia.org/wiki/Dynamical_systems_theory

    In sports biomechanics, dynamical systems theory has emerged in the movement sciences as a viable framework for modeling athletic performance and efficiency. It comes as no surprise, since dynamical systems theory has its roots in Analytical mechanics. From psychophysiological perspective, the human movement system is a highly intricate network ...

  7. Exponential map (discrete dynamical systems) - Wikipedia

    en.wikipedia.org/wiki/Exponential_map_(discrete...

    Download as PDF; Printable version; In other projects ... the exponential map can be used as the evolution function of the discrete nonlinear dynamical system. [1]

  8. Category:Systems articles in dynamical systems - Wikipedia

    en.wikipedia.org/wiki/Category:Systems_articles...

    Download QR code; Print/export Download as PDF; Printable version; In other projects ... Exponential map (discrete dynamical systems) F. Talk:Feigenbaum constants ...

  9. Markov partition - Wikipedia

    en.wikipedia.org/wiki/Markov_partition

    A Markov partition in mathematics is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic dynamics.By using a Markov partition, the system can be made to resemble a discrete-time Markov process, with the long-term dynamical characteristics of the system represented as a Markov shift.