List questions from stability-in-odes

Published on 25 Mar 2026 - 6:34

318

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Stability analysis for ODEs with non constant inputs

Published on 07 Sep 2014 - 11:02

2.3k

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Stability analysis for a system of two differential equations

Published on 12 Sep 2014 - 9:22

4.8k

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Asymptotic stability of an equilibrium solution of an autonomous differential equation

Published on 13 Sep 2014 - 22:28

1.2k

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Using eigenvalues to determine stability

Published on 19 Sep 2014 - 17:56

176

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Stability of transfer functions with internal delay

Published on 25 Mar 2026 - 12:16

66.2k

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On finding the equilibrium solutions to a system of differential equations

Published on 10 Oct 2014 - 19:28

681

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Stability of a fixed point

Published on 12 Oct 2014 - 23:14

137

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$0$ is an stable equilibrium of $x' = Ax$ iff $A$ is semisimple, given that all of its eigenvalues have real part 0.

Published on 25 Oct 2014 - 22:59

98

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Unique equilibrium that is not an attractor

Published on 30 Oct 2014 - 18:47

340

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Autonomous system

Published on 02 Nov 2014 - 21:55

961

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Find fixed points and give the nullclines of the following system ($\dot{x} = (y)$ and $\dot{y} = \cos(x)$)

Published on 06 Nov 2014 - 19:22

848

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Find Lyapunov function for $\dot{x} = -\sin(x)$

Published on 06 Nov 2014 - 20:24

251

Views

Stability based on phase portrait

Published on 08 Nov 2014 - 17:04

537

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Long term behavior of the solution of $y''+\omega_0^2y=\cos(\omega t)$

Published on 10 Nov 2014 - 19:22

List Question

Nexus between connectedness of invariant set and stability of dynamical system

Stability analysis for ODEs with non constant inputs

Stability analysis for a system of two differential equations

Asymptotic stability of an equilibrium solution of an autonomous differential equation

Using eigenvalues to determine stability

Stability of transfer functions with internal delay

On finding the equilibrium solutions to a system of differential equations

Stability of a fixed point

$0$ is an stable equilibrium of $x' = Ax$ iff $A$ is semisimple, given that all of its eigenvalues have real part 0.

Unique equilibrium that is not an attractor

Autonomous system

Find fixed points and give the nullclines of the following system ($\dot{x} = (y)$ and $\dot{y} = \cos(x)$)

Find Lyapunov function for $\dot{x} = -\sin(x)$

Stability based on phase portrait

Long term behavior of the solution of $y''+\omega_0^2y=\cos(\omega t)$

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