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.
Below we present some results on the existence of compact global attractors of quasi-linear dynamical systems.
Mirzakhani found that in dynamical systems evolving in ways that twist and stretch their shape, the systems' trajectories "are tightly constrained to follow algebraic laws," said McMullen.
The mathematical theory of dynamical systems is a matter of important critical discussion, about which some mathematicians reflect, particularly concerning to the philosophy of deterministic dynamics and chaos (Lewowicz, 2008; Lorenz, 1995; Markarian & Gambini, 1997; Massera, 1988, 1997; Stewart, 1989; Ruelle, 1993).
Haddad and Chellaboina outline the salient changes for time-varying dynamical systems as compared to time-invariant dynamical systems, and state the key results on the existence and uniqueness of solutions for time-varying dynamical systems needed for later developments.
We would like to thank Professor Martin Bohner, Editor in Chief of Advances in Dynamical Systems and Applications, for accepting our offer to form this special volume.
Summary: Will Zimmerman, professor of Biochemical Dynamical Systems at the University of Sheffield, was awarded the very prestigious Royal Society Brian Mercer award for innovation on Oct.
Also, Professor Udriste formulates these facts in the language of Lagrangian dynamics and Jacobi manifolds, and applies this theory to electromagnetic dynamical systems, see also [23].
The book is a monograph containing a systematic presentation of recent results in Stability Theory of nonlinear dynamical systems with uncertain parameters, using the method based on differential inequalities and the Lyapunov functions.
She focuses this analogous relationship around two fundamental elements of dynamical systems theory: the strange attractor and the fractal.
Such types of projected dynamical systems were introduced and studied by Dupuis and Nagurney [9].
To be published quarterly both in print and electronically, "International Journal of Biomathematics" will present information on the latest developments in biomathematics, mathematical ecology, infectious disease dynamical systems, biostatistics and bioinformatics.

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