Phase locked loop:
Phase portraits and a Poincare section

See implementation of this system for the AnT package.

Poincaré section

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Parameter R = 2.00, initial function x(t) = 1 for t in [-1,0]

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Parameter R = 3.5, initial function x(t) = 1 for t in [-1,0]

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Parameter R = 4.1

initial function x(t) = 1 for t in [-1,0]
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initialization file
initial function x(t) = -1 for t in [-1,0]
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initialization file
initial function x(t) = 1(red) and initial function x(t) = -1(green) for t in [-1,0]
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Parameter R = 4.105

initial function x(t) = 1 for t in [-1,0]
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initialization file
initial function x(t) = -1 for t in [-1,0]
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initial function x(t) = 2 for t in [-1,0]
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initial function x(t) = 1(red), initial function x(t) = -1(green) and initial function x(t) = 2(blue) for t in [-1,0]
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Parameter R = 4.11

initial function x(t) = 1 for t in [-1,0]
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initialization file
initial function x(t) = -1 for t in [-1,0]
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initial function x(t) = 2 for t in [-1,0]
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initial function x(t) = -2 for t in [-1,0]
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initial function x(t) = 1(red), initial function x(t) = -1(green), initial function x(t) = 2(dark blue) and initial function x(t) = -2(blue) for t in [-1,0]
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Parameter R = 4.157, initial function x(t) = 2 for t in [-1,0]

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Parameter R = 4.165, initial function x(t) = 2 for t in [-1,0]

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Parameter R = 4.1725, initial function x(t) = 2 for t in [-1,0]

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Parameter R = 4.2, initial function x(t) = 2 for t in [-1,0]

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Parameter R = 4.20832, initial function x(t) = 2 for t in [-1,0]

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Parameter R = 4.2109, initial function x(t) = 2 for t in [-1,0]

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initialization file

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Last modified: 16.04.2003   Contact: AnT