List questions from basins-of-attraction

Published on 21 Dec 2017 - 5:32

1.2k

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Lyapunov function and an open disk inside the basin of $(0,0)$

Published on 22 Dec 2017 - 3:09

2.1k

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Bounding the basins of attraction of Newton's method

Published on 22 Apr 2011 - 18:08

1.2k

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Does every basin of attraction contain a critical point?

Published on 07 May 2012 - 17:38

250

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How to estimate distance from root to nearest immediate basin boundary for Newton's method in one complex variable?

Published on 04 Jan 2021 - 15:42

63

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Show that a set $A$ has a fundamental neighborhood iff its basin of attraction is a neighborhood of $A$

Published on 07 Mar 2021 - 12:03

42

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Show that $(\tau^n(x))$ is eventually in every neighborhood of $A$ iff $\lim_{n\to\infty}d(\tau^n(x),A)=0$

Published on 07 Mar 2021 - 14:36

84

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Disjoint attractors have a disjoint basin of attraction

Published on 15 Mar 2021 - 18:42

1.6k

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Finding the region of attraction using a Lyapunov function

Published on 19 May 2021 - 1:05

107

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$p$ being an attracting fixed point of $f$ is equivalent to $p$ being a repelling fixed point of $f^{-1}$

Published on 28 Oct 2021 - 23:06

123

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Understanding where does the second (stochastic) attractor of the system come from.

Published on 02 Dec 2021 - 6:35

216

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What's the difference between a total basin of attraction and an immediate basin of attraction?

Published on 12 Apr 2022 - 8:28

59

Views

Does dynamical system has volume preserving property in basin of attraction?

Published on 15 Apr 2022 - 14:11

182

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a question regarding subsets of basin of attraction

Published on 16 Apr 2022 - 17:43

120

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the relation between chaos and fractal basin

Published on 06 May 2022 - 11:59

List Question

Question about the basin of attraction of the origin

Lyapunov function and an open disk inside the basin of $(0,0)$

Bounding the basins of attraction of Newton's method

Does every basin of attraction contain a critical point?

How to estimate distance from root to nearest immediate basin boundary for Newton's method in one complex variable?

Show that a set $A$ has a fundamental neighborhood iff its basin of attraction is a neighborhood of $A$

Show that $(\tau^n(x))$ is eventually in every neighborhood of $A$ iff $\lim_{n\to\infty}d(\tau^n(x),A)=0$

Disjoint attractors have a disjoint basin of attraction

Finding the region of attraction using a Lyapunov function

$p$ being an attracting fixed point of $f$ is equivalent to $p$ being a repelling fixed point of $f^{-1}$

Understanding where does the second (stochastic) attractor of the system come from.

What's the difference between a total basin of attraction and an immediate basin of attraction?

Does dynamical system has volume preserving property in basin of attraction?

a question regarding subsets of basin of attraction

the relation between chaos and fractal basin

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