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Examples of possible stability classification in the critical case

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory
71
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Proving there is an assymptotical solution when Jacobian at singularity has a negative eigenvalue

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory
104
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How to compute stable / unstable manifolds when eigenvectors have both non-zero x and y components

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #bifurcation
64
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Prove unstable singularity is limit of some solution when $t\to-\infty$.

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory
79
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Finding a suitable Liapunov function

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#ordinary-differential-equations #analysis #stability-in-odes
45
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Bifurcation point at asymptote

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#ordinary-differential-equations #stability-in-odes #bifurcation
59
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Classification of fixed points in 4D system of autonomous ODEs

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#ordinary-differential-equations #stability-in-odes #stability-theory
61
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Verify the solution to a Bessel's equation has finite length or not

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#ordinary-differential-equations #bessel-functions #stability-in-odes
85
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Proving local exponential stability (check my answer)

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#control-theory #stability-in-odes #lyapunov-functions
77
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Local exponential stability of $x' = Ax + b(x)$

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#ordinary-differential-equations #control-theory #stability-in-odes
59
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Asymptotical stability vs Asymptotic uniform stability for nonautonomous systems

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#control-theory #stability-in-odes #stability-theory #lyapunov-functions
76
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Lyapunov function, weak

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#ordinary-differential-equations #stability-in-odes #lyapunov-functions
63
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Is linearisation of ODE around a stable equilibrium always justified?

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#ordinary-differential-equations #stability-in-odes #stability-theory
39
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Stability of time stepping in PDE

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#partial-differential-equations #numerical-methods #stability-in-odes
22
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Equivalent Condition of Asympotic Stability of Positive Linear System

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#asymptotics #stability-in-odes #linear-control

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