List questions from stability-theory

197

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Lyapunov stability of $\begin{cases}x' = e^{ay} - e^x \\ y' = a x^2 + (a-a^2) x + ay^2 e^{-y}\end{cases}$

Published on 05 Jun 2019 - 10:12

53

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Stabilization of non-autonomous 1-d wave equation

Published on 14 Jun 2019 - 23:34

102

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Sufficient conditions for bounded output of an explicit linear multi-step method

Published on 18 Jun 2019 - 18:44

47

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How to find the basic reproductive number $R_0$ of a non-autonomous dynamical system?

Published on 23 Jun 2019 - 9:24

130

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LaSalle statement - Find a positive function

Published on 25 Mar 2026 - 12:47

339

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Positive definiteness of solution to Sylvester / Lyapunov equations

Published on 25 Mar 2026 - 12:55

529

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How to verify the instability using Chetaev Theorem for this system

Published on 01 Jul 2019 - 15:36

270

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Stability of a recurrence relation

Published on 04 Jul 2019 - 17:09

32

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Runtime discrete nonlinear dynamical system

Published on 04 Jul 2019 - 17:18

305

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Stability equilibrium point of non linear system with nonpositive eigenvalues.

Published on 08 Jul 2019 - 22:30

228

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Stability of the solution $\mathbf x=0$ of the DE $\ddot{\mathbf x}=A \mathbf x$

Published on 11 Jul 2019 - 14:16

604

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The asymptotic stability if the time derivative of Lyapunov function is zero

Published on 14 Jul 2019 - 10:33

92

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Stability analysid with pde, analogous fourrier number

Published on 14 Jul 2019 - 14:21

445

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Why the origin is globally asymptotically stable?

Published on 25 Mar 2026 - 12:55

104

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Determining if $u''+(u^2+u'{^2}-1)u'+u=0$ has a limit cycle

Published on 18 Jul 2019 - 13:03

List Question

Lyapunov stability of $\begin{cases}x' = e^{ay} - e^x \\ y' = a x^2 + (a-a^2) x + ay^2 e^{-y}\end{cases}$

Stabilization of non-autonomous 1-d wave equation

Sufficient conditions for bounded output of an explicit linear multi-step method

How to find the basic reproductive number $R_0$ of a non-autonomous dynamical system?

LaSalle statement - Find a positive function

Positive definiteness of solution to Sylvester / Lyapunov equations

How to verify the instability using Chetaev Theorem for this system

Stability of a recurrence relation

Runtime discrete nonlinear dynamical system

Stability equilibrium point of non linear system with nonpositive eigenvalues.

Stability of the solution $\mathbf x=0$ of the DE $\ddot{\mathbf x}=A \mathbf x$

The asymptotic stability if the time derivative of Lyapunov function is zero

Stability analysid with pde, analogous fourrier number

Why the origin is globally asymptotically stable?

Determining if $u''+(u^2+u'{^2}-1)u'+u=0$ has a limit cycle

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