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Question about the basin of attraction of the origin

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory #basins-of-attraction
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Lyapunov function and an open disk inside the basin of $(0,0)$

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #lyapunov-functions #basins-of-attraction
48
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General theory for 1st order matrix ODE "Z'(t) = A(t)Z(t)"?

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#ordinary-differential-equations #stability-in-odes
939
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System of equations and equilibrium points?

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#ordinary-differential-equations #dynamical-systems #stability-in-odes
200
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Stability theory of inverted pendulum

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#dynamical-systems #control-theory #stability-in-odes #stability-theory
43
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Asymmetric stabilization ODE?

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#ordinary-differential-equations #stability-in-odes
2.4k
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Stability when eigenvalues are zero : $x' = -x + y + x^2 + ax^3, \space y' = x - y + x^2 + bxy + y^3$

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#ordinary-differential-equations #eigenvalues-eigenvectors #dynamical-systems #stability-in-odes #stability-theory
873
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Center manifold theorem example 8.2 from Khalil

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#dynamical-systems #stability-in-odes #stability-theory
9.2k
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Stability of differential system when eigenvalue is zero

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#ordinary-differential-equations #eigenvalues-eigenvectors #dynamical-systems #stability-in-odes #stability-theory
1.1k
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Lyapunov stability question from Arnold's trivium

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#ordinary-differential-equations #dynamical-systems #control-theory #stability-in-odes #linearization
4.2k
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Global stability vs Global asymptotic stability

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #lyapunov-functions
174
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Asymptotical behavior of the SIR epidemic model

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#ordinary-differential-equations #limits #dynamical-systems #stability-in-odes
2k
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Why don't these ODEs produce the same result?

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#ordinary-differential-equations #stability-in-odes #boundary-layer
398
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Determine the stability of the equilibrium points of the differential equation $\dot{x}=x(x-1)$.

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory
136
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The Effect of Small Variations in the Coefficients of a Linear Differential System

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#ordinary-differential-equations #partial-differential-equations #stability-in-odes

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