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What is the 'stability' of a critical point of a (1 dimensional) dynamical system?

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#ordinary-differential-equations #dynamical-systems #stability-in-odes
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Phase plots of solutions for repeated eigenvalues

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#ordinary-differential-equations #stability-in-odes
161
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Nonlinear system stability analysis

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#ordinary-differential-equations #nonlinear-system #stability-in-odes #stability-theory
193
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Asymptotics for solutions of a version of Lienard's differential equation

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#ordinary-differential-equations #stability-in-odes #bifurcation
100
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Stability of Extrema of Conserved Quantities

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#real-analysis #multivariable-calculus #dynamical-systems #stability-in-odes
240
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Non-homogenous 2nd order differential equation - Solution has got me thinking really hard...

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#ordinary-differential-equations #stability-in-odes
6.7k
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Phase portrait of ODE in polar coordinates

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#real-analysis #ordinary-differential-equations #dynamical-systems #polar-coordinates #stability-in-odes
70
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Finding a circle in polar coordinates

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#calculus #ordinary-differential-equations #dynamical-systems #polar-coordinates #stability-in-odes
105
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How to prove the stability of zero solution of lienar system ODE implies that of every other solutions?

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#ordinary-differential-equations #stability-in-odes
587
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Existence of periodic orbit of the ODE system $\dot{r}=r-r^3 \cos^2(\theta),\,\dot{\theta}= 1$

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#ordinary-differential-equations #dynamical-systems #stability-in-odes
305
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Frobenius Method to Solve a Differential Equation

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#ordinary-differential-equations #power-series #stability-in-odes #singularity #frobenius-method
64
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Why $\lambda$ is a complex number in the topic of "Stablity in numerical methods"?

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#numerical-methods #stability-in-odes
308
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How do you graph an inequality on Real/Imaginary plane?

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#inequality #numerical-methods #stability-in-odes
39
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Does this function ever escape the unit ball?

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#ordinary-differential-equations #stability-in-odes #stability-theory
68
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Floquet Boundedness for Floquet multiplier $|\lambda_i|=1$

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#ordinary-differential-equations #diagonalization #periodic-functions #jordan-normal-form #stability-in-odes

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