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 ?
m] have an interpretation in terms of dynamical systems, as in the case of Artin-Mazur zeta function.
pi]) be a semigroup dynamical system on X, where [pi](n, (u, [omega])) := ([phi](n, u, [omega]), [sigma](n, [omega])) for all u [member of] W and u [member of] [OMEGA], then (X, [Z.
A deterministic dynamical system is said to be expansive, or sensitive to initial conditions or chaotic, if two different initial states, regardless that they may be arbitrarily next, define trajectories that separate one from the other, at some future or past time, more than a positive numerical constant a.
2008), Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach.
We underline that the Hamiltonian flow conserves the phase space volume, while the Hamiltonian H is a first integral of the Hamiltonian dynamical system.
Random Number Generators as Chaotic Dynamical Systems
The incident in question is the decided lack of attention paid to the phenomena associated with nonlinearity and the behavior of nonlinear dynamical systems.
The Application of Random Dynamical Systems Theory in Stochastic Economic Growth
17] The dynamical system is said to be globally exponentially stable with degree [eta] at [u.
We are using a simulation precisely because we cannot analyze mathematically the consequences of the dynamical system described mathematically.
It might be thought that the definition of a dynamical system in terms of equations of the type given above is unduly restrictive.
This volume contains 15 selected papers discussing connections between fractal geometry and dynamical system in pure mathematics and connections between these two and other fields of mathematics.

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