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Volumn 42, Issue 4, 2009, Pages 2450-2463

Detecting unstable periodic orbits of nonlinear mappings by a novel quantum-behaved particle swarm optimization non-Lyapunov way

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES;

EID: 67651113845     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.03.119     Document Type: Article
Times cited : (19)

References (28)
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    • 1842528888 scopus 로고    scopus 로고
    • Detecting unstable periodic orbits in chaotic systems by using an efficient algorithm
    • Bu S.L., Wang B.H., and Jiang P.Q. Detecting unstable periodic orbits in chaotic systems by using an efficient algorithm. Chaos, Solitons & Fractals 22 (2004) 237
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 237
    • Bu, S.L.1    Wang, B.H.2    Jiang, P.Q.3
  • 10
    • 67651120538 scopus 로고    scopus 로고
    • Takens F. Dynamical systems and turbulence. In: DRand, Young LS, editors. Berlin: Spinger-Verlag; 1981.
    • Takens F. Dynamical systems and turbulence. In: DRand, Young LS, editors. Berlin: Spinger-Verlag; 1981.
  • 13
    • 0034184296 scopus 로고    scopus 로고
    • Adaptive estimation and control method for unstable periodic dynamics in spike trains
    • Christini D.J., and Kaplan D.T. Adaptive estimation and control method for unstable periodic dynamics in spike trains. Phys Rev E 61 (2000) 5149
    • (2000) Phys Rev E , vol.61 , pp. 5149
    • Christini, D.J.1    Kaplan, D.T.2
  • 14
    • 84942092247 scopus 로고    scopus 로고
    • Computing periodic orbits of nondifferentiable discontinuous mappings through particle swarm optimization
    • Indianapolis, USA;
    • Parsopoulos KE, Vrahatis MN. Computing periodic orbits of nondifferentiable discontinuous mappings through particle swarm optimization. In: IEEE 2003 swarm intelligence symposium (SIS 2003). Indianapolis, USA; 2003. p. 34-41.
    • (2003) IEEE 2003 swarm intelligence symposium (SIS , pp. 34-41
    • Parsopoulos, K.E.1    Vrahatis, M.N.2
  • 15
    • 67651092784 scopus 로고    scopus 로고
    • Entropy-based Memetic particle swarm optimization for computing periodic orbits of nonlinear mappings
    • Singapore
    • Petalas YG, Parsopoulos KE, Vrahatis MN. Entropy-based Memetic particle swarm optimization for computing periodic orbits of nonlinear mappings. In: IEEE 2007 congress on evolutionary computation, Singapore: 2040; 2007.
    • (2007) IEEE 2007 congress on evolutionary computation , pp. 2040
    • Petalas, Y.G.1    Parsopoulos, K.E.2    Vrahatis, M.N.3
  • 24
    • 0001039322 scopus 로고
    • Numerical study of quadratic area-preserving mappings
    • Hénon M. Numerical study of quadratic area-preserving mappings. Quart Appl Math 27 (1969) 291
    • (1969) Quart Appl Math , vol.27 , pp. 291
    • Hénon, M.1
  • 26
    • 0000904309 scopus 로고
    • An efficient method for locating and computing periodic orbits of nonlinear mappings
    • Vrahatis M.N. An efficient method for locating and computing periodic orbits of nonlinear mappings. J Comp Phys 119 (1995) 105
    • (1995) J Comp Phys , vol.119 , pp. 105
    • Vrahatis, M.N.1
  • 27
    • 0010678168 scopus 로고
    • A piecewise linear model for the zones of instability of an area preserving map
    • Devaney R.L. A piecewise linear model for the zones of instability of an area preserving map. Physica D 10 (1984) 387
    • (1984) Physica D , vol.10 , pp. 387
    • Devaney, R.L.1


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