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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AMESim
Simcenter Amesim is a commercial simulation software for the modeling and analysis of multi-domain systems. It is part of systems engineering domain and falls into the mechatronic engineering field. The software package is a suite of tools used to model, analyze and predict the performance of mechatronics systems. Models are described using nonlinear time-dependent analytical equations that represent the system's hydraulic, pneumatic, thermal, electric or mechanical behavior. Compared to 3D CAE modeling this approach gives the capability to simulate the behavior of systems before detailed CAD geometry is available, hence it is used earlier in the system design cycle or V-Model. To create a simulation model for a system, a set of libraries is used. These contain pre-defined components for different physical domains. The icons in the system have to be connected and for this purpose each icon has ports, which have several inputs and outputs. Causality is enforced by linking the ...
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SimulationX
SimulationX is a CAE software application running on Microsoft Windows for the physical simulation of technical systems. It is developed and sold by ESI Group. History In the mid 1980s, VEB Mikromat in Dresden (Germany) developed a program for DOS to design controlled feed axis systems and to perform hydraulic calculations. In 1993, ITI GmbH, founded by former Mikromat employees in 1990, introduced a simulation tool for Microsoft Windows designed for dynamic calculations of drive systems: ITI-SIM 1. With the release of ITI-SIM 2 in 1995, the software also allowed for fluid simulations. In 2002, the newly developed application SimulationX, based on the object-oriented description language Modelica, was introduced to the market. By the year 2007, ITI-SIM (then in version 3.8) had been completely replaced by SimulationX. Since the beginning of 2016, ITI belongs to the ESI Group and now operates under the name ESI ITI GmbH. Modeling and Functionality Simulation models ar ...
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Simulink
Simulink is a MATLAB-based graphical programming environment for modeling, simulating and analyzing multidomain dynamical systems. Its primary interface is a graphical block diagramming tool and a customizable set of block libraries. It offers tight integration with the rest of the MATLAB environment and can either drive MATLAB or be scripted from it. Simulink is widely used in automatic control and digital signal processing for multidomain simulation and model-based design. Add-on products MathWorks and other third-party hardware and software products can be used with Simulink. For example, Stateflow extends Simulink with a design environment for developing state machines and flow charts. Coupled with another of their products, Simulink can automatically generate C source code for real-time implementation of systems. As the efficiency and flexibility of the code improves, this is becoming more widely adopted for production systems, in addition to being a tool for ...
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Comparison Of System Dynamics Software
This is a comparison of various aspects of software offering system dynamics features: ''Due to concerns over commercial postings on the system dynamics main topic, commercial hyperlinks are specifically NOT active on this list.'' Table of system dynamics software :L.The graphing library mxGraph is licensed separately under a paid commercial license. However, it's important to note that its GitHub repository was archived by its owner in 2021 and is now in a read-only state. See also * List of computer simulation software References {{reflist System dynamics System dynamics (SD) is an approach to understanding the nonlinear behaviour of complex systems over time using stocks, flows, internal feedback loops, table functions and time delays. Overview System dynamics is a methodology and mathematical ... Systems theory ...
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Short Film
A short film is a film with a low running time. The Academy of Motion Picture Arts and Sciences (AMPAS) defines a short film as "an original motion picture that has a running time of not more than 40 minutes including all credits". Other film organizations may use different definitions, however; the Academy of Canadian Cinema and Television, for example, currently defines a short film as 45 minutes or less in the case of documentaries, and 59 minutes or less in the case of scripted narrative films (it is not made clear whether this includes closing credits). In the United States, short films were generally termed short subjects from the 1920s into the 1970s when confined to two 35 mm reels or less, and featurettes for a film of three or four reels. "Short" was an abbreviation for either term. The increasingly rare industry term "short subject" carries more of an assumption that the film is shown as part of a presentation along with a feature film. Short films are often s ...
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Pixar
Pixar (), doing business as Pixar Animation Studios, is an American animation studio based in Emeryville, California, known for its critically and commercially successful computer-animated feature films. Pixar is a subsidiary of Walt Disney Studios, a division of Disney Entertainment, a segment of the Walt Disney Company. Pixar started in 1979 as part of the Lucasfilm computer division. It was known as the Graphics Group before its spin-off as a corporation in 1986, with funding from Apple co-founder Steve Jobs, who became its majority shareholder. Disney announced its acquisition of Pixar in January 2006, and completed it in May 2006. Pixar is best known for its feature films, technologically powered by RenderMan, the company's own implementation of the industry-standard RenderMan Interface Specification image-rendering API. The studio's mascot is Luxo Jr., a desk lamp from the studio's 1986 short film of the same name. Pixar has produced 28 feature films, wit ...
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Animator
An animator is an artist who creates images, known as frames, which give an illusion of movement called animation when displayed in rapid sequence. Animators can work in a variety of fields including film, television, and video games. Animation is closely related to filmmaking and like filmmaking is extremely labor-intensive, which means that most significant works require the collaboration of several animators. The methods of creating the images or frames for an animation piece depend on the animators' artistic styles and their field. Other artists who contribute to animated cartoons, but who are not animators, include Page layout, layout artists (who design the backgrounds, lighting, and camera angles), storyboard artists (who draw panels of the action from the script), and background artists (who paint the "scenery"). Animated films share some film crew positions with regular live action films, such as director, producer, sound engineer, and editor, but differ radically i ...
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Particles
In the physical sciences, a particle (or corpuscle in older texts) is a small localized object which can be described by several physical or chemical properties, such as volume, density, or mass. They vary greatly in size or quantity, from subatomic particles like the electron, to microscopic particles like atoms and molecules, to macroscopic particles like powders and other granular materials. Particles can also be used to create scientific models of even larger objects depending on their density, such as humans moving in a crowd or celestial bodies in motion. The term ''particle'' is rather general in meaning, and is refined as needed by various scientific fields. Anything that is composed of particles may be referred to as being particulate. However, the noun '' particulate'' is most frequently used to refer to pollutants in the Earth's atmosphere, which are a suspension (chemistry), suspension of unconnected particles, rather than a connected particle aggregation. Co ...
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Fire
Fire is the rapid oxidation of a fuel in the exothermic chemical process of combustion, releasing heat, light, and various reaction Product (chemistry), products. Flames, the most visible portion of the fire, are produced in the combustion reaction when the fuel reaches its ignition point temperature. Flames from hydrocarbon fuels consist primarily of carbon dioxide, water vapor, oxygen, and nitrogen. If hot enough, the gases may become ionized to produce Plasma (physics), plasma. The color and Intensity (heat transfer), intensity of the flame depend on the type of fuel and composition of the surrounding gases. Fire, in its most common form, has the potential to result in conflagration, which can lead to permanent physical damage. It directly impacts land-based ecological systems worldwide. The positive effects of fire include stimulating plant growth and maintaining ecological balance. Its negative effects include hazards to life and property, atmospheric pollution, and water ...
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