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Asymptotic stability without Lyapunov

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#ordinary-differential-equations #stability-in-odes #lyapunov-functions
191
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Vacuous definition - annoying condition

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#discrete-mathematics #dynamical-systems #stability-in-odes
67
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Has the following IVP unique solution?

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#ordinary-differential-equations #analysis #stability-in-odes
150
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Show that the solution $u \equiv 0$ of $u''+g(u)=0$ where $g(0)=0,g'(0)>0$ is stable but not asymptotically stable

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#ordinary-differential-equations #stability-in-odes #lyapunov-functions
243
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Stability in the small dt limit for RK45

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#stability-in-odes #runge-kutta-methods
1.8k
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particular solution to $y^4 -2y'' +y = xe^x $

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#linear-algebra #ordinary-differential-equations #stability-in-odes
50
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How to test a function for condition and stabilty?

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#numerical-methods #numerical-optimization #stability-in-odes #stability-theory #condition-number
160
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Determining Stability of Fixed points of systems of ODEs

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#ordinary-differential-equations #stability-in-odes
253
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Resonance in Mathieu's Equation

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#ordinary-differential-equations #stability-in-odes #perturbation-theory
88
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An alternative Lyapunov-like instability proof

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#ordinary-differential-equations #analysis #dynamical-systems #stability-in-odes #lyapunov-functions
127
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Verifying stability of equilibria directly from the flow of an ODE

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#ordinary-differential-equations #stability-in-odes #stability-theory
432
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Differential Equation (Solutions Attraction)

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#ordinary-differential-equations #polar-coordinates #stability-in-odes
44
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Why is stability of D.E. defined on infinite interval?

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#ordinary-differential-equations #stability-in-odes #stability-theory
930
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Polar Coordinates Differential

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#ordinary-differential-equations #polar-coordinates #periodic-functions #stability-in-odes
207
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Is the convergence of $\dot{x}=2A(t)x$ faster than that of $\dot{x}=A(t)x$?

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#linear-algebra #ordinary-differential-equations #dynamical-systems #stability-in-odes

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