Timeline for Global first integral for certain $3$ dimensional system
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 8, 2019 at 3:39 | answer | added | Michael Engelhardt | timeline score: 3 | |
| Sep 8, 2019 at 1:53 | comment | added | Michael Engelhardt | Now, for small $x$, $y$, $z$, the solutions of course are of the form $x=\exp (t)$, $\exp (\exp (i 2\pi /3) t)$ or $\exp (\exp (i 4\pi /3) t)$, with $y$, $z$ obtained by differentiation, but this is probably obvious to your colleague, since he explicitly asks for a global answer ... | |
| Sep 8, 2019 at 1:42 | comment | added | Michael Engelhardt | No no, the second part of my comment was simply to make sure I understood what form of answer was expected - I suppose that was a bit redundant once the first part was clarified. The second part was simply reinforcing the first part. Still, it would be interesting where this arises - but don't go to any length investigating, it's not essential of course. | |
| Sep 7, 2019 at 23:46 | comment | added | Ali Taghavi | @MichaelEngelhardt by the second part of your comment do you mean "what is the motivation for consideration of this system"? I have no idea of such a motovation. I can ask him. | |
| Sep 7, 2019 at 23:41 | comment | added | Ali Taghavi | @MichaelEngelhardt yes $x'=dx/dt$. | |
| Sep 7, 2019 at 23:24 | comment | added | Michael Engelhardt | Is this to be read as $x$, $y$, $z$ depending on one parameter, say, "$t$" and the prime denotes the derivative w.r.t. $t$? And what is sought is the solution of this set of first-order differential equations? | |
| Sep 7, 2019 at 22:41 | history | asked | Ali Taghavi | CC BY-SA 4.0 |