dynamical system

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dynamical system

n.
Mathematics A space together with a transformation of that space, such as the solar system transforming over time according to the equations of celestial mechanics.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.dynamical system - (physics) a phase space together with a transformation of that space
phase space - (physics) an ideal space in which the coordinate dimensions represent the variables that are required to describe a system or substance; "a multidimensional phase space"
natural philosophy, physics - the science of matter and energy and their interactions; "his favorite subject was physics"
chaos - (physics) a dynamical system that is extremely sensitive to its initial conditions
References in periodicals archive ?
By converting the system to a linear dynamic system with deterministic parameter matrices and state-dependent noises, Luo et al.
The linear combination of linearly independent solutions {[x.sup.1] (t), ..., [x.sup.N](t)} can be used to express the general solution of the linear dynamic system. But it is unable to work out general solution of the nonlinear dynamic system.
The LQ regulator is based on the state-space description of the linear dynamic system
Let us now consider a SISO linear dynamic system with Multiple Degrees Of Freedom (MDOF), such as a vibrating mechanical structure stressed by a force F (applied at a fixed point along a fixed direction) and oscillating with vibration u (at a given inspection point and along a given direction).
The second part is a model of a linear dynamic system. This model can be found in the literature under the name of Hammerstein model (Zhu, 2001).
The inhomogeneous linear dynamic system (3.1) is reducible to (3.3) using the transformation (3.4), if and only if there exists an m x m regular real matrix S(t) such that
In a typical approach the plant model M(s) adopted in the MFC structure is taken as a linear dynamic system, which models in the best way the real plant P(s) However, the nonlinearities of the process may be too strong to model the plant by a linear time invariant system, even in a robust MFC structure.

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