Dynamical Systems


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Dynamical Systems

A system of equations where the output of one equation is part of the input for another. A simple version of a dynamical system is linear simultaneous equations. Non-linear simultaneous equations are nonlinear dynamical systems.

Dynamical Systems

A series of equations in which the output of one becomes the input of another. One equation may determine a company's earnings for a particular period. The earnings, then, may be put into another equation to determine the earnings per share. This is a simple example of dynamical systems. It may (and often does) include a long string of equations.
References in periodicals archive ?
However, it has been well reported in the last few decades that most of the dynamical systems are deterministic nonlinear in nature and their solutions can be statistically random as that of the outcomes of tossing an unbiased coin (i.e., head or tail) [23].
Given dynamical system f : S [right arrow] S, S [subset] R, the iterations of the function f are the composition of a function with itself.
Consider the following three-dimensional dynamical system:
Reconstructed image pixels were obtained by using the initial value problem of differential equations describing the dynamical system, for example, a continuous-time image reconstruction (CIR) system.
Valverde, "Graph dynamical systems with general Boolean states," Applied Mathematics & Information Sciences, vol.
Dynamical systems. Let [sigma] [member of] [S.sub.n], and X = [n].
Below we present some results on the existence of compact global attractors of quasi-linear dynamical systems.
Singer, "Poincare-like simple cell mapping for non-linear dynamical systems" Journal of Sound and Vibration, vol.
There are, in fact, two different dynamical systems, one for each sign combination inside right-hand side function.
We took the help of dynamical systems method, namely, recurrence quantification analysis (RQA), to capture the underlying dynamical structure of both markets.
In recent decades, a number of new types of synchronization have appeared, and the four basic synchronizations of dynamical systems are identical synchronization, generalized synchronization, phase synchronization, and anticipated and lag synchronization and amplitude envelope synchronization.

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