List questions from basins-of-attraction

Published on 26 Sep 2023 - 19:25

18

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Can a function be converted into a Voronoi diagram of its local extremum points and basins of convergence?

Published on 28 Mar 2024 - 20:08

1.4k

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Basin of attraction of the fixed map $f(x) = x-x^3$

Published on 19 Jan 2015 - 9:05

365

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On finding a strict Liapunov function

Published on 21 Jan 2015 - 17:12

3.5k

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Basin of attraction of a fixed point

Published on 18 Sep 2015 - 15:31

226

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Show that the basin of attraction contains $(a,b)$

Published on 09 Oct 2015 - 19:15

462

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Fixed point, with basin of attraction

Published on 06 Nov 2015 - 8:03

444

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Determining the size of a basin of attraction

Published on 19 Nov 2015 - 0:20

529

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Is every basin of attraction completely invariant?

Published on 31 Mar 2016 - 1:06

2.1k

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Is a basin of attraction necessarily an open set?

Published on 23 Apr 2016 - 4:07

8.3k

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Newton's method — for which initial guesses does it converge?

Published on 18 Apr 2013 - 10:29

189

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Basin of attractions with continuity and discontinuity

Published on 30 Oct 2017 - 0:19

1.7k

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Show that the equilibrium point $(0,0)$ is asymptotically stable and an estimate of its basin of attraction

Published on 30 Oct 2017 - 1:16

257

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Is the domain of a strict Lyapunov function contained in the basin of attraction of the equilibrium?

Published on 15 Nov 2017 - 4:13

1000

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Region of attraction of : $x'=-y-x^3,y'=x-y^3$ via Lyapunov Function

Published on 20 Nov 2017 - 21:09

List Question

What if the level set of Lyapunov function is disconnected? - when estimating region of attration

Can a function be converted into a Voronoi diagram of its local extremum points and basins of convergence?

Basin of attraction of the fixed map $f(x) = x-x^3$

On finding a strict Liapunov function

Basin of attraction of a fixed point

Show that the basin of attraction contains $(a,b)$

Fixed point, with basin of attraction

Determining the size of a basin of attraction

Is every basin of attraction completely invariant?

Is a basin of attraction necessarily an open set?

Newton's method — for which initial guesses does it converge?

Basin of attractions with continuity and discontinuity

Show that the equilibrium point $(0,0)$ is asymptotically stable and an estimate of its basin of attraction

Is the domain of a strict Lyapunov function contained in the basin of attraction of the equilibrium?

Region of attraction of : $x'=-y-x^3,y'=x-y^3$ via Lyapunov Function

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