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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.

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  • 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. (en)
  • 数学における射影力学系(しゃえいりきがくけい、英: projected dynamical system)とは、解がある制約集合に制限された力学系の挙動を調べる数学理論である。この学問では、最適化や平衡点の問題などの静的な分野と、常微分方程式の動的な分野との関連や応用が示されている。 射影力学系は、次の射影微分方程式(projected differential equation)のフローとして与えられる: ここで K は制約集合である。この形状の微分方程式は、不連続なベクトル場を持つという点において注目すべきものである。 (ja)
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  • 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. (en)
  • 数学における射影力学系(しゃえいりきがくけい、英: projected dynamical system)とは、解がある制約集合に制限された力学系の挙動を調べる数学理論である。この学問では、最適化や平衡点の問題などの静的な分野と、常微分方程式の動的な分野との関連や応用が示されている。 射影力学系は、次の射影微分方程式(projected differential equation)のフローとして与えられる: ここで K は制約集合である。この形状の微分方程式は、不連続なベクトル場を持つという点において注目すべきものである。 (ja)
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  • 射影力学系 (ja)
  • Projected dynamical system (en)
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