Dynamical System Simulation
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Dynamical System Simulation
Dynamical system 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 by the past state values. This relationship is found by creating a model of the system. Overview Simulation models are commonly obtained from discrete-time approximations of continuous-time mathematical models. As mathematical models incorporate real-world constraints, like gear backlash and rebound from a hard stop, equations become nonlinear. This requires numerical methods to solve t ...
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Dynamical System
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space, such as in a parametric curve. Examples include the mathematical models that describe the swinging of a clock pendulum, fluid dynamics, the flow of water in a pipe, the Brownian motion, random motion of particles in the air, and population dynamics, 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 number, 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 (mathematics), set, without the need of a Differentiability, smooth space-time structure defined on it. At any given time, ...
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LightWave 3D
LightWave 3D is a 3D computer graphics program developed by LightWave Digital. It has been used in films, television, motion graphics, digital matte painting, visual effects, video game development, product design, architectural visualizations, virtual production, music videos, pre-visualizations and advertising. Overview LightWave is a software package used for rendering 3D images, both animated and static. It includes a fast rendering engine that supports such advanced features as realistic reflection, radiosity, caustics, and 999 render nodes. The 3D modeling component supports both polygon modeling and subdivision surfaces. The animation component has features such as inverse and forward kinematics for character animation, particle systems and dynamics. Programmers can expand LightWave's capabilities using an included SDK which offers Python, LScript (a proprietary scripting language) and C language interfaces. History In 1988, Allen Hastings created a render ...
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AGX Multiphysics
AGX Dynamics (previously known as AGX Multiphysics) is a proprietary real-time physics engine developed by Algoryx Simulation AB that simulates rigid body dynamics, collision detection, dry frictional contacts, jointed systems, motors, fluids, deformable materials, hydraulics, hydrodynamics, cable systems and wires. AGX targets several domains, such as virtual reality real-time simulator applications for training and marketing; computer aided engineering and virtual prototyping; movie visual effects; and education. For education, components of AGX are used in the end-user software product Algodoo also developed and sold by Algoryx. Users of AGX simulate e.g. granular systems, construction equipment, forestry machines, mining processes and machines, biomechanics, industrial robots, ship and anchor handling processes and cranes. AGX is often integrated with 3D visualization frameworks such as OpenSceneGraph, OGRE, Unity and Unreal Engine and often also with actual hardware and c ...
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