Timeline for Coupled Riccati equations
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 16, 2023 at 14:00 | comment | added | Ali Taghavi | @მამუკაჯიბლაძე I wrote a reply in your answer I think I misunderstood the OP | |
| Mar 16, 2023 at 10:45 | comment | added | მამუკა ჯიბლაძე | Let me reply here too - I am unable to find a substitution reducing the OP system to a Lotka-Volterra type system. In fact I find it unlikely since the Lotka-Volterra system contains linear terms while here everything is quadratic. I believe this means that the vector fields corresponding to these systems will be qualitatively different at the origin, no? | |
| Mar 16, 2023 at 10:04 | comment | added | Ali Taghavi | arxiv.org/pdf/math/0409594.pdf | |
| Mar 16, 2023 at 10:03 | comment | added | Ali Taghavi | @მამუკაჯიბლაძე Any way such kind of chang of coordinates is very common in ODE see for example page 2 of this paper $\pi(x,y)=(x^2,y)$ | |
| Mar 16, 2023 at 10:03 | comment | added | Ali Taghavi | @მამუკაჯიბლაძე Any way such kind of chang of coordinates is very common in ODE see for example page 2 of this paper $\pi(x,y)=(x^2,y)$ | |
| Mar 16, 2023 at 9:53 | comment | added | Ali Taghavi | The system in OP is itself in the Lotka Volterra form. Please see the wikipedia link | |
| Mar 15, 2023 at 19:20 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
added 1 character in body
|
| Mar 15, 2023 at 18:05 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
added 4 characters in body
|
| Mar 15, 2023 at 13:31 | comment | added | მამუკა ჯიბლაძე | One obtains a Lotka-Volterra like system if one replaces $x^2$ with $x$ and $y^2$ with $y$ in the OP. Do you see that they are in fact equivalent? | |
| Mar 15, 2023 at 12:14 | history | answered | Ali Taghavi | CC BY-SA 4.0 |