Timeline for Invariant subspace of a nonlinear map
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 5, 2020 at 14:41 | comment | added | Piyush Grover | The analogoues of eigenvectors in nonlinear case are stable/unstable/center manifolds. Check out stable manifold theorem for instance. When they exist, they are invariant manifolds that you seek. | |
| Jun 5, 2020 at 14:26 | review | Close votes | |||
| Jun 5, 2020 at 14:53 | |||||
| Jun 5, 2020 at 13:40 | comment | added | user444628 | @BenMcKay Oh yes I am looking for an invariant curve or surface. I have added the newest edit. Thank you for reminding me of this. | |
| Jun 5, 2020 at 13:36 | history | edited | user444628 | CC BY-SA 4.0 |
added 89 characters in body
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| Jun 5, 2020 at 13:26 | comment | added | Ben McKay | Take a point $p_0\in\mathbb{R}^3$ and let $S$ be the set of points $p_0,f(p_0),f(f(p_0)), \dots,$. Clearly $S$ is invariant under $f$, and any set is a topological subspace, with the induced topology. So I think you want to require an invariant topological curve or topological surface. | |
| Jun 5, 2020 at 12:07 | review | First posts | |||
| Jun 5, 2020 at 14:08 | |||||
| Jun 5, 2020 at 11:55 | history | asked | user444628 | CC BY-SA 4.0 |