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'''Dynamic simulation''' (or dynamic system simulation) is the use of a computer program to model the time-varying behavior of a [[dynamical system]]. The systems are typically described by [[ordinary differential equations]] or [[partial differential equations]]. A simulation run solves the state-equation system to find the behavior of the state variables over a specified period of time. The equation is solved through numerical integration methods to produce the transient behavior of the state variables. Simulation of dynamic systems predicts the values of model-system state variables, as they are determined the past state values. This relationship is found by creating a model of the system. <ref> Korn, Granino A. Advanced dynamic-system simulation: model-replication techniques and Monte Carlo simulation. John Wiley & Sons, 2007. p. 2.</ref>
==Overview==
Simulation models are commonly obtained from discrete-time approximations of continuous-time mathematical models. <ref>Klee, Harold, and Randal Allen. Simulation of dynamic systems with MATLAB and Simulink. Crc Press, 2016. p. 3.</ref>
As [[mathematical model]]s incorporate real-world constraints, like gear [[backlash (engineering)|backlash]] and rebound from a hard stop, equations become nonlinear. This requires numerical methods to solve the equations. <ref>Klee, Harold, and Randal Allen. Simulation of dynamic systems with MATLAB and Simulink. Crc Press, 2016. p. 93.</ref>.
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