Period Doubling Bifurcation Point Detection Strategy with Nested Layer Particle Swarm Optimization
2017 ◽
Vol 27
(07)
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pp. 1750101
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Keyword(s):
This paper proposes a bifurcation point detection strategy based on nested layer particle swarm optimization (NLPSO). The NLPSO is performed by two particle swarm optimization (PSO) algorithms with a nesting structure. The proposed method is tested in detection experiments of period doubling bifurcation points in discrete-time dynamical systems. The proposed method directly detects the parameters of period doubling bifurcation regardless of the stability of the periodic point, but require no careful initialization, exact calculation or Lyapunov exponents. Moreover, the proposed method is an effective detection technique in terms of accuracy, robustness usability, and convergence speed.
2018 ◽
Vol 138
(12)
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pp. 1646-1647
2019 ◽
Vol 10
(3)
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pp. 289-302
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2019 ◽
Vol 25
(6)
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pp. 495-517
2019 ◽
Vol 9
(1)
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pp. 2506-2510
2017 ◽
Vol 13
(2)
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pp. 173-179
2011 ◽
Vol 8
(5)
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pp. 57
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Keyword(s):
2019 ◽
Vol 119
◽
pp. 126-134
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