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Find the positively invariant annulus

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#ordinary-differential-equations #dynamical-systems #set-invariance
225
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Limit set of a non-autonomous system is not invariant

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#ordinary-differential-equations #dynamical-systems #nonlinear-system #set-invariance
694
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Show that the annulus $1 \leq x^2 + y^2 \leq 3$ is positively invariant

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#ordinary-differential-equations #dynamical-systems #self-learning #invariance #set-invariance
142
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For which values of $\alpha$ is the disk $B = \{(x, y) \mid x^2+y^2 \leq 1\}$ positively invariant?

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#ordinary-differential-equations #derivatives #dynamical-systems #set-invariance
166
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Closed positively invariant subset is a subset of a basin in an autonomous ODE

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#ordinary-differential-equations #stability-theory #set-invariance
54
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When does the trajectory lie in the positive orthant?

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#ordinary-differential-equations #set-invariance
264
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The level sets of integral are invariant sets (Wiggins' textbook)

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#dynamical-systems #nonlinear-system #nonlinear-dynamics #set-invariance
224
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Nexus between connectedness of invariant set and stability of dynamical system

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#general-topology #ordinary-differential-equations #dynamical-systems #stability-in-odes #set-invariance
459
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Looking for a proof of LaSalle's invariance principle for a dynamical system on a manifold.

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#manifolds #dynamical-systems #smooth-manifolds #stability-theory #set-invariance
198
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Positively invariant set with ODE undefined on part of boundary

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#ordinary-differential-equations #dynamical-systems #set-invariance
94
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Show without solving the ODE that an equality is an invariant after initial condition

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#ordinary-differential-equations #dynamical-systems #set-invariance
175
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Intersection between invariant curves for a map that coming from an autonomus vector field.

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#ordinary-differential-equations #dynamical-systems #invariant-subspace #set-invariance
460
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How to prove that a set is invariant?

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#ordinary-differential-equations #dynamical-systems #set-invariance
109
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Finding a compact and positively invariant set

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#dynamical-systems #polar-coordinates #set-invariance
70
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If $\omega_+(x)\cap\omega_-(x)$ contains a regular point, then $x$ is periodic

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

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