Chaotic dynamic characteristics in swarm intelligence

Kennedy, 2001 Bonabeau, 1999 Holland, 1998 Clerc, 2006 Parsopoulos, 2002, Recent approaches to global optimization problems through particle swarm optimization, Nat. Comput., 1, 235, 10.1023/A:1016568309421 Ursema, 2004, Parameter identification of induction motors using stochastic optimization algorithms, Appl. Soft Comput., 4, 49, 10.1016/j.asoc.2003.08.002 Sousa, 2004, Particle swarm based data mining algorithms for classification tasks, Parallel Comput., 30, 767, 10.1016/j.parco.2003.12.015 Chang, 2004, Particle swarm optimisation for protein motif discovery, Genet. Prog. Evolvable Mach., 5, 203, 10.1023/B:GENP.0000023688.42515.92 Du, 2005, Infrared image segmentation with 2-D maximum entropy method based on particle swarm optim., Pattern Recognit. Lett., 26, 597, 10.1016/j.patrec.2004.11.002 Schute, 2005, A study of global optimization using particle swarms, J. Global Optim., 31, 93, 10.1007/s10898-003-6454-x Abraham, 2006, Swarm intelligence: foundations, perspectives and applications Eckmann, 1985, Ergodic theory of chaos and strange attractors, Rev. Mod. Phys., 57, 617, 10.1103/RevModPhys.57.617 Liu, 2005, Improved particle swarm optimization combined with chaos, Chaos Soliton. Fract., 25, 1261, 10.1016/j.chaos.2004.11.095 Jiang, 2005, A hybrid method of chaotic particle swarm optimization and linear interior for reactive power optimisation, Math. Comput. Simul., 68, 57, 10.1016/j.matcom.2004.10.003 Jiang, 2005, A self-adaptive chaotic particle swarm algorithm for short term hydroelectric system scheduling in deregulated environment, Energy Convers. Manage., 46, 2689, 10.1016/j.enconman.2005.01.002 Chen, 1988, Empirical, theoretical evidence of economic chaos, Syst. Dyn. Rev., 4, 81, 10.1002/sdr.4260040106 Chialvo, 1990, Low dimensional chaos in cardiac tissue, Nature, 342, 653, 10.1038/343653a0 Frank, 1990, Chaotic time series analysis of epileptic seizures, Physica D, 46, 427, 10.1016/0167-2789(90)90103-V Goldberger, 1990, Chaos and fractals in human physiology, Sci. Am., 262, 42, 10.1038/scientificamerican0290-42 Freeman, 2000, Brain dynamics: brain chaos and intentionality, 163 Sarbadhikari, 2001, Chaos in the brain: a short review alluding to epilepsy, depression, exercise and lateralization, Med. Eng. Phys., 23, 445, 10.1016/S1350-4533(01)00075-3 Bauer, 1991, Lyapunov exponents and dimensions of chaotic neural networks, J. Phys. A: Math. Gen., 24, 4557, 10.1088/0305-4470/24/19/019 Aihara, 1990, Chaotic neural networks, Phys. Lett. A, 144, 333, 10.1016/0375-9601(90)90136-C Dudul, 2005, Prediction of a Lorenz chaotic attractor using two-layer perceptron neural network, Appl. Soft Comput., 5, 333, 10.1016/j.asoc.2004.07.005 Sebastian, 2004, Logic programs, iterated function systems, and recurrent radial basis function networks, J. Appl. Logic, 2, 273, 10.1016/j.jal.2004.03.003 Clerc, 2002, The particle swarm-explosion, stability, and convergence in a multidimensional complex space, IEEE Trans. Evol. Comput., 6, 58, 10.1109/4235.985692 Mullin, 1993 Mosekilde, 1996 Wolf, 1985, Determining Lyapunov exponents from a time series, Physica D, 16, 285, 10.1016/0167-2789(85)90011-9 Grassberger, 1983, Characterization of strange attractors, Phys. Rev. Lett., 50, 346, 10.1103/PhysRevLett.50.346 Stefanovska, 1997, On the overstimation of the correlation dimension, Phys. Lett. A, 235, 24, 10.1016/S0375-9601(97)00552-5 Chlouverakis, 2005, A comparison of correlation and lyapunov dimensions, Physica D, 200, 156, 10.1016/j.physd.2004.10.006