Question

Finding a parametrization of the solutions of $\frac{dx}{dt}=\frac{\sinh y}{\cosh y+A\cos x}$, $\frac{dy}{dt}=\frac{A\sin x}{\cosh y+A\cos x}$

score 73 · Answer 1 · 2026-03-27 16:28:10

73

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Finding a parametrization of the solutions of $\frac{dx}{dt}=\frac{\sinh y}{\cosh y+A\cos x}$, $\frac{dy}{dt}=\frac{A\sin x}{\cosh y+A\cos x}$

Published on 27 Mar 2026 - 16:28

score 825 · Answer 2 · 2026-04-11 11:38:50

825

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How to find a suitable function for Dulac's criteria in this example?

Published on 11 Apr 2026 - 11:38

score 68 · Answer 3 · 2026-04-11 20:26:17

68

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Examples of multiply-connected compact configuration spaces

Published on 11 Apr 2026 - 20:26

score 758 · Answer 4 · 2026-04-10 11:38:43

758

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What is the difference between an autonomous system and a dynamical system?

Published on 10 Apr 2026 - 11:38

score 150 · Answer 5 · 2026-04-14 18:18:44

150

Views

Prove the invertibility of $X^T X$ when $X$ is a (rectangular) Toeplitz-like matrix.

Published on 14 Apr 2026 - 18:18

score 150 · Answer 6 · 2026-03-27 18:08:18

150

Views

Determining the global stability of a 3-dimensional system

Published on 27 Mar 2026 - 18:08

score 121 · Answer 7 · 2026-03-28 21:06:26

121

Views

Maximum number of limit cycles of a system

Published on 28 Mar 2026 - 21:06

score 48 · Answer 8 · 2026-04-16 10:02:13

48

Views

The zero point $(0,0)$ of $x'=x+y,y'=xy-bx-y$ is stable when $b>1$

Published on 16 Apr 2026 - 10:02

score 156 · Answer 9 · 2026-04-15 10:47:14

156

Views

What to call the eigenvalues that don't correspond to a conserved quantity

Published on 15 Apr 2026 - 10:47

score 787 · Answer 10 · 2026-04-01 02:07:28

787

Views

Lyapunov exponent of multiple time series

Published on 01 Apr 2026 - 2:07

score 147 · Answer 11 · 2026-04-14 17:20:22

147

Views

Invariant measure of Poincare map

Published on 14 Apr 2026 - 17:20

score 2.6k · Answer 12 · 2026-04-15 23:22:03

2.6k

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Tent map: show that $x$ is a periodic point IFF it is a rational number of the form $\frac {m}{p}$ where $m$ is even and $p$ is odd

Published on 15 Apr 2026 - 23:22

score 426 · Answer 13 · 2026-04-11 02:46:30

426

Views

Rewriting the advection-diffusion equation

Published on 11 Apr 2026 - 2:46

score 5.2k · Answer 14 · 2026-04-15 13:47:48

5.2k

Views

Continuous-time versus discrete-time stochastic models

Published on 15 Apr 2026 - 13:47

score 759 · Answer 15 · 2026-04-10 16:02:33

759

Views

Floquet's Theory, Hills Equation

Published on 10 Apr 2026 - 16:02

List Question

Finding a parametrization of the solutions of $\frac{dx}{dt}=\frac{\sinh y}{\cosh y+A\cos x}$, $\frac{dy}{dt}=\frac{A\sin x}{\cosh y+A\cos x}$

How to find a suitable function for Dulac's criteria in this example?

Examples of multiply-connected compact configuration spaces

What is the difference between an autonomous system and a dynamical system?

Prove the invertibility of $X^T X$ when $X$ is a (rectangular) Toeplitz-like matrix.

Determining the global stability of a 3-dimensional system

Maximum number of limit cycles of a system

The zero point $(0,0)$ of $x'=x+y,y'=xy-bx-y$ is stable when $b>1$

What to call the eigenvalues that don't correspond to a conserved quantity

Lyapunov exponent of multiple time series

Invariant measure of Poincare map

Tent map: show that $x$ is a periodic point IFF it is a rational number of the form $\frac {m}{p}$ where $m$ is even and $p$ is odd

Rewriting the advection-diffusion equation

Continuous-time versus discrete-time stochastic models

Floquet's Theory, Hills Equation

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