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About: Projected dynamical system     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Abstraction100002137yago:Attribute100024264yago:Communication100033020yago:DifferentialEquation106670521yago:DynamicalSystem106246361yago:Equation106669864yago:MathematicalStatement106732169yago:Message106598915yago:PhaseSpace100029114yago:Space100028651yago:Statement106722453yago:WikicatDifferentialEquationsyago:WikicatDynamicalSystems New Facet based on Instances of this Class

Projected dynamical systems is a mathematical theory investigating the behaviour of dynamical systems where solutions are restricted to a constraint set. The discipline shares connections to and applications with both the static world of optimization and equilibrium problems and the dynamical world of ordinary differential equations. A projected dynamical system is given by the flow to the projected differential equation where K is our constraint set. Differential equations of this form are notable for having a discontinuous vector field.