Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors
2007 ◽
Vol 14
(5)
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pp. 615-620
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Keyword(s):
Abstract. An infinite number of unstable periodic orbits (UPOs) are embedded in a chaotic system which models some complex phenomenon. Several algorithms which extract UPOs numerically from continuous-time chaotic systems have been proposed. In this article the damped Newton-Raphson-Mees algorithm is reviewed, and some important techniques and remarks concerning the practical numerical computations are exemplified by employing the Lorenz system.
2000 ◽
Vol 10
(08)
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pp. 1917-1931
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Keyword(s):
2021 ◽
Vol 31
(4)
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pp. 043106
Keyword(s):
2010 ◽
Vol 43
(11)
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pp. 75-80
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2019 ◽
Vol 29
(14)
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pp. 1950197
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2014 ◽
Vol 24
(06)
◽
pp. 1450077
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2009 ◽
Vol 14
(4)
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pp. 1032-1037
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