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What is the invariance of a set in a solution to an ODE?


Positive invariance of a set under a system of ODEsFlow of D.E what is the idea behind conjugacy?Show that the method is of order 3 if a =-5 and of order 2 if a is not equal to -5How to prove that boundaries, interiors and closures of invariant sets are also invariant?Does this reasoning work?about Poincare mapLaSalle invariance, Lyapunov stabilityImage of a cube under the flow's actionPitchfork Bifurcation vs. Period-Doubling BifurcationHow to split a multi-variable ODE into multiple equations?Conley index as a subset of an isolated invariant set













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Came across this question here Positive invariance of a set under a system of ODEs and I don't understand the general concept of "invariance" or what they're doing, wikipedia isn't much better. What is simply the general process for showing that a set is invariant under the flow of a system?










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    $begingroup$


    Came across this question here Positive invariance of a set under a system of ODEs and I don't understand the general concept of "invariance" or what they're doing, wikipedia isn't much better. What is simply the general process for showing that a set is invariant under the flow of a system?










    share|cite|improve this question











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      $begingroup$


      Came across this question here Positive invariance of a set under a system of ODEs and I don't understand the general concept of "invariance" or what they're doing, wikipedia isn't much better. What is simply the general process for showing that a set is invariant under the flow of a system?










      share|cite|improve this question











      $endgroup$




      Came across this question here Positive invariance of a set under a system of ODEs and I don't understand the general concept of "invariance" or what they're doing, wikipedia isn't much better. What is simply the general process for showing that a set is invariant under the flow of a system?







      ordinary-differential-equations dynamical-systems set-invariance






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      edited 22 hours ago









      Rodrigo de Azevedo

      13.2k41960




      13.2k41960










      asked 22 hours ago









      Vane VoeVane Voe

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          From chapter 4 of Blanchini & Miani:




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            From chapter 4 of Blanchini & Miani:




            enter image description here







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              From chapter 4 of Blanchini & Miani:




              enter image description here







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                $begingroup$

                From chapter 4 of Blanchini & Miani:




                enter image description here







                share|cite|improve this answer









                $endgroup$



                From chapter 4 of Blanchini & Miani:




                enter image description here








                share|cite|improve this answer












                share|cite|improve this answer



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                answered 22 hours ago









                Rodrigo de AzevedoRodrigo de Azevedo

                13.2k41960




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