Dynamical - definitie. Wat is Dynamical
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Wat (wie) is Dynamical - definitie

MATHEMATICAL MODEL WHICH DESCRIBES THE TIME DEPENDENCE OF A POINT IN A GEOMETRICAL SPACE
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  • Linear vector fields and a few trajectories.
  • Lorenz oscillator]], a dynamical system.

Dynamical         
·adj Relating to physical forces, effects, or laws; as, dynamical geology.
II. Dynamical ·adj Of or pertaining to dynamics; belonging to energy or power; characterized by energy or production of force.
Dynamical system         
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and the number of fish each springtime in a lake.
Dynamical systems theory         
AREA OF MATHEMATICS USED TO DESCRIBE THE BEHAVIOR OF COMPLEX DYNAMICAL SYSTEMS, USUALLY BY EMPLOYING DIFFERENTIAL EQUATIONS OR DIFFERENCE EQUATIONS
Dynamical systems and chaos theory; Dynamic systems theory; Mathematical system theory; Dynamical system (cognitive science); Mathematical systems theory; Dynamical Systems Theory; Applications of dynamical systems theory; History of dynamical systems theory
Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical systems.

Wikipedia

Dynamical system

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space, such as in a parametric curve. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a set, without the need of a smooth space-time structure defined on it.

At any given time, a dynamical system has a state representing a point in an appropriate state space. This state is often given by a tuple of real numbers or by a vector in a geometrical manifold. The evolution rule of the dynamical system is a function that describes what future states follow from the current state. Often the function is deterministic, that is, for a given time interval only one future state follows from the current state. However, some systems are stochastic, in that random events also affect the evolution of the state variables.

In physics, a dynamical system is described as a "particle or ensemble of particles whose state varies over time and thus obeys differential equations involving time derivatives". In order to make a prediction about the system's future behavior, an analytical solution of such equations or their integration over time through computer simulation is realized.

The study of dynamical systems is the focus of dynamical systems theory, which has applications to a wide variety of fields such as mathematics, physics, biology, chemistry, engineering, economics, history, and medicine. Dynamical systems are a fundamental part of chaos theory, logistic map dynamics, bifurcation theory, the self-assembly and self-organization processes, and the edge of chaos concept.

Voorbeelden uit tekstcorpus voor Dynamical
1. "There‘s more dynamical modeling involved in this study than any previous study, much more," Lissauer said.
2. Seidelmann is a dynamical astronomer and research professor in the Astronomy Department at the University of Virginia.
3. Using dynamical models of how the two Jupiter–size planets interact, they were able to calculate the masses of the two giant planets from the observed shapes and precession rates of their oval orbits.