List questions from stability-in-odes

Published on 05 May 2026 - 3:29

476

Views

Stability of system of parameters $\kappa, \lambda$ when there is a zero eigenvalue

Published on 07 May 2026 - 10:14

604

Views

Stability of stationary point $O(0,0)$ when eigenvalues are zero

Published on 04 May 2026 - 23:43

114

Views

How to analyze a dynamical system when $t\to\infty?$

Published on 10 May 2026 - 9:45

798

Views

The system $x' = h(y), \space y' = ay + g(x)$ has no periodic solutions

Published on 07 May 2026 - 7:38

265

Views

Existence of unique limit cycle for $r'=r(μ-r^2), \space θ' = ρ(r^2)$

Published on 07 May 2026 - 11:33

602

Views

Intuitive proof of Lyapunov's theorem

Published on 29 Apr 2026 - 12:07

120

Views

Stability of a nonlinear ODE system (only existence of the limit)

Published on 07 May 2026 - 19:38

216

Views

Deriving inequality from a Lyapunov test of $x' = -x + y^3, \space y' = -y + ax^3$

Published on 29 Apr 2026 - 12:07

40

Views

does the order lineariztion/evaluation matter here?

Published on 07 May 2026 - 12:04

136

Views

Existence and uniqueness of limit cycle for $r' = μr(1-g(r^2)), \text{and} θ' = p(r^2)$

Published on 29 Apr 2026 - 12:08

234

Views

Omega limit set $\omega(x_0)$ for $r' = 2μr(5-r^2), \space θ' = -1$

Published on 07 May 2026 - 17:07

175

Views

Show that $x_1' = x_2, \space x_2' = -2x_1 + x_2(2-5x_1^2 - 3x_2^2)$ has a bounded solution

Published on 29 Apr 2026 - 12:07

180

Views

Existence and uniqueness of solution for the IVP : $y'(x) = [x-\cos(y(x))]^{2/5}, \space y(0) = 0$

Published on 10 May 2026 - 12:17

321

Views

Region of attraction and stability via Liapunov's function

Published on 07 May 2026 - 10:06

List Question

Stability of system of ordinary nonlinear differential equations

Stability of system of parameters $\kappa, \lambda$ when there is a zero eigenvalue

Stability of stationary point $O(0,0)$ when eigenvalues are zero

How to analyze a dynamical system when $t\to\infty?$

The system $x' = h(y), \space y' = ay + g(x)$ has no periodic solutions

Existence of unique limit cycle for $r'=r(μ-r^2), \space θ' = ρ(r^2)$

Intuitive proof of Lyapunov's theorem

Stability of a nonlinear ODE system (only existence of the limit)

Deriving inequality from a Lyapunov test of $x' = -x + y^3, \space y' = -y + ax^3$

does the order lineariztion/evaluation matter here?

Existence and uniqueness of limit cycle for $r' = μr(1-g(r^2)), \text{and} θ' = p(r^2)$

Omega limit set $\omega(x_0)$ for $r' = 2μr(5-r^2), \space θ' = -1$

Show that $x_1' = x_2, \space x_2' = -2x_1 + x_2(2-5x_1^2 - 3x_2^2)$ has a bounded solution

Existence and uniqueness of solution for the IVP : $y'(x) = [x-\cos(y(x))]^{2/5}, \space y(0) = 0$

Region of attraction and stability via Liapunov's function

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