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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.
Download as PDF; Printable version; ... Chaotic maps often occur in the study of dynamical systems. ... 2D Lorenz system [1] discrete: real: 2: 1:
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 ...
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]
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 ...
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]
Download QR code; Print/export Download as PDF; Printable version; In other projects ... Exponential map (discrete dynamical systems) F. Talk:Feigenbaum constants ...
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.