dynamical system

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.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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Noun

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

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References in periodicals archive

'The dynamic system of automated weight and dimensional control is important for us, because it allows us to weigh vehicles on the move and timely identify vehicles that exceed the permissible weight.

Razakov familiarizes with control system installation at Ak-Tilek checkpoint

One of the theoretical advantages of the dynamic system in these patients was that it allowed axial motion, thus decreasing stress at the bone-screw interface.

Posterior Dynamic Stabilization of the Lumbar Spine: Review of Biomechanical and Clinical Studies

On the tectonic stress field, when the storage energy of the rock burst dynamic system reaches the critical value to cause rock burst, rock burst will happen if evoked by external mining project activity.

Seepage Law of Injected Water in the Coal Seam to Prevent Rock Burst Based on Coal and Rock System Energy

The kernel modeling strategy of the proposed fuzzy model [17] is to package all nonlinear terms as a group in each equation and transfer the original dynamic system to be two linear subequations with their corresponding membership function matrices.

Novel Fuzzy-Modeling-Based Adaptive Synchronization of Nonlinear Dynamic Systems

The Mason model and how to identify the parameters of a dynamic system will also be covered.

Noliac is Hosting a Free Webinar on Piezo Actuators October 29

According to Albu [4] (2008), the function expressing the sustainability of the sovereign debt dynamic system is:

A cybernetics approach to the sovereign debt crisis

The numerical efficiency in obtaining solutions becomes a key problem when using the general MPC method and/or the AMPC method for controlling a structural dynamic system, especially for computing the matrix exponential of the system in the AMPC method.

Fast model predictive control method for large-scale structural dynamic systems: computational aspects

where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Then, the nonlinear dynamic system (1) is asymptotically stable in the quasi-sliding mode with noise perturbation attenuation [gamma] > 0 and quasi-sliding mode controller with its gain K = [bar.K][P.sub.1.sup.-1].

Robust stability for nonlinear systems with time-varying delay and uncertainties via the [H.sub.[infinity]] quasi- sliding mode control

Mathematic model of a dynamic system is the set of differential or integer-differential equations which show system behavior under input values action.

Possibilities of dynamic systems simulation

Reliability analysis of dynamic systems; efficient probabilistic methods and aerospace applications.

Reliability analysis of dynamic systems; efficient probabilistic methods and aerospace applications