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Adaptive Shannon Entropy-Driven Chaotic Grey Wolf Optimization (ASE-CGWO) for Combinatorial Optimization Problems. [PDF]
Kalathodi S +5 more
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A unified fixed point approach for enriched bivariate mappings with applications to volterra systems and fractional-order chaos. [PDF]
Ahmad K +5 more
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CONSTRUCTING CHAOTIC POLYNOMIAL MAPS
International Journal of Bifurcation and Chaos, 2009This paper studies the construction of one-dimensional real chaotic polynomial maps. Given an arbitrary nonzero polynomial of degree m (≥ 0), two methods are derived for constructing chaotic polynomial maps of degree m + 2 by simply multiplying the given polynomial with suitably designed quadratic polynomials.
Xu Zhang 0005, Yuming Shi, Guanrong Chen
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The chaotic self-organizing map
Proceedings 1993 The First New Zealand International Two-Stream Conference on Artificial Neural Networks and Expert Systems, 2002A chaotic self-organizing map can be produced by replacing the linear neural units of the conventional self-organizing map with neural units capable of producing chaos. The introduction of chaos into the self-organizing map is shown to improve the ability of the network to cluster input patterns. >
Alison A. Dingle +2 more
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AN EXACT MAP FOR A CHAOTIC BILLIARD
International Journal of Modern Physics B, 2011An exact map for Sinai's billiard with maximal central scatterer has been deduced from geometrical principles. Using this map a simple numerical method has been implemented for the search of periodic orbits. Results that seem to be useful in classical as quantum chaos are shown.
Mikoss, I., García, P.
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CHAOTIC CONTROL OF LOGISTIC MAP
Modern Physics Letters B, 2008With the occasional feedback method, the chaotic logistic map is stabilized at an unstable low-periodic orbit. In our method, the qualified feedback coefficient can be obtained through calculation instead of through simulation. Besides, the bifurcation control of the logistic map is studied, and a new scheme is proposed to change the parameter value of
Wang, Xingyuan, Wang, Mingjun
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2007
The parametrically coupled map lattice (PCML) exhibits many interesting dynamical behaviors that are reminiscent of the adaptation and the learning of the neural network. In order for the PCML to be a model of the neural network, however, it is necessary to identify the biological counterpart of one-dimensional maps that constitute the PCML. One of the
Lee, G Lee, Geehyuk, Yi, GS Yi, Gwan-Su
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The parametrically coupled map lattice (PCML) exhibits many interesting dynamical behaviors that are reminiscent of the adaptation and the learning of the neural network. In order for the PCML to be a model of the neural network, however, it is necessary to identify the biological counterpart of one-dimensional maps that constitute the PCML. One of the
Lee, G Lee, Geehyuk, Yi, GS Yi, Gwan-Su
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CHAOTIC MAP WITH THE PROPERTY OF RECURRENCE
International Journal of Modern Physics B, 2007In this paper, we consider a continuous map f: X→X, where X is a compact metric space, and discuss the existence of a chaotic set of f specially (as X=[0,1]). We prove that f has a positively topological entropy if and only if it has an uncountably chaotic set in which each point is recurrent and is not weakly periodic.
Wang, Lidong +2 more
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