List questions from dynamical-systems

Published on 11 Apr 2026 - 10:42

72

Views

Proving there is an assymptotical solution when Jacobian at singularity has a negative eigenvalue

Published on 13 Apr 2026 - 10:42

104

Views

How to compute stable / unstable manifolds when eigenvectors have both non-zero x and y components

Published on 26 Mar 2026 - 9:40

65

Views

Prove unstable singularity is limit of some solution when $t\to-\infty$.

Published on 12 Apr 2026 - 18:54

76

Views

How can I show this version of the poincaré recurrence theorem if $T$ is ergodic?

Published on 13 Apr 2026 - 11:14

110

Views

Using linearisation to determine stability of equilibria.

Published on 11 Apr 2026 - 14:13

40

Views

How can I show that $T_1$ and $T_2$ are strong mixing.

Published on 10 Apr 2026 - 3:40

50

Views

Showing dynamical systems are not topologically conjugate

Published on 11 Apr 2026 - 23:27

20

Views

$(^tA)^n v_1 - v_2 = 0$ has at most one solution for integral hyperbolic matrix $A$

Published on 11 Apr 2026 - 8:54

94

Views

Is the relation $e^{At} = Pe^{Jt} P^{-1}$ valid for a Jordan form?

Published on 13 Apr 2026 - 2:29

29

Views

Multistable systems are dense in $\mathcal{C}^1$

Published on 21 Apr 2023 - 17:43

128

Views

Radon-Nikodym derivative in a compact Hausdorff space

Published on 11 Apr 2026 - 16:57

40

Views

Linear dynamics of a function

Published on 09 Apr 2026 - 16:04

114

Views

Finding a compact and positively invariant set

Published on 10 Apr 2026 - 23:48

76

Views

What is the equivalent formulation for the Logistic Growth model in a population dynamics/branching processes setting?

Published on 07 Apr 2026 - 23:00

List Question

Examples of possible stability classification in the critical case

Proving there is an assymptotical solution when Jacobian at singularity has a negative eigenvalue

How to compute stable / unstable manifolds when eigenvectors have both non-zero x and y components

Prove unstable singularity is limit of some solution when $t\to-\infty$.

How can I show this version of the poincaré recurrence theorem if $T$ is ergodic?

Using linearisation to determine stability of equilibria.

How can I show that $T_1$ and $T_2$ are strong mixing.

Showing dynamical systems are not topologically conjugate

$(^tA)^n v_1 - v_2 = 0$ has at most one solution for integral hyperbolic matrix $A$

Is the relation $e^{At} = Pe^{Jt} P^{-1}$ valid for a Jordan form?

Multistable systems are dense in $\mathcal{C}^1$

Radon-Nikodym derivative in a compact Hausdorff space

Linear dynamics of a function

Finding a compact and positively invariant set

What is the equivalent formulation for the Logistic Growth model in a population dynamics/branching processes setting?

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