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When are attracting sets invariant?

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#ordinary-differential-equations #dynamical-systems #control-theory #set-invariance
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Maximal Positive Invariant Set -- Some fine print

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#dynamical-systems #invariance #set-invariance
692
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Existence of invariant set in dynamical system generated by ODE

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#ordinary-differential-equations #systems-of-equations #dynamical-systems #set-invariance
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Omega limit set is invariant

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#ordinary-differential-equations #dynamical-systems #chaos-theory #set-invariance
81
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Is the union of stable manifolds of gradient flows an open?

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#dynamical-systems #gradient-flows #set-invariance
82
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Proof question on lemma included in paper on invariant sets of PDEs

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#partial-differential-equations #proof-explanation #set-invariance
65
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Show that a set $A$ has a fundamental neighborhood iff its basin of attraction is a neighborhood of $A$

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#measure-theory #dynamical-systems #ergodic-theory #set-invariance #basins-of-attraction
137
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Does a global attractor contain every (forward) invariant set?

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#dynamical-systems #stability-in-odes #stability-theory #set-invariance
456
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Proving a set is positively invariant for a system

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#ordinary-differential-equations #dynamical-systems #lyapunov-functions #set-invariance
39
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Is the set $[0, 1]$ invariant for this ODE (2 strategies replicator equation)?

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#ordinary-differential-equations #game-theory #set-invariance
172
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Invariant set for SIRS model

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#ordinary-differential-equations #set-invariance
195
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PDE Solution at Large Times and Invariance

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#partial-differential-equations #parabolic-pde #set-invariance
214
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Is $\pi\left(\bigcap_{n}A_n\right)=\bigcap_{n}\pi\left( A_n\right)$, when $\pi$ is a projection?

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#general-topology #elementary-set-theory #solution-verification #dynamical-systems #set-invariance
276
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Criterion for finding invariant sets in continuous dynamical system

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#dynamical-systems #stability-in-odes #set-invariance
54
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Check if region where $\dot{x} > 0$, $\dot{y} > 0$ is positively/negatively invariant

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#ordinary-differential-equations #dynamical-systems #set-invariance

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