1995
DOI: 10.1016/0893-6080(95)00033-v
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Chaotic simulated annealing by a neural network model with transient chaos

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Cited by 611 publications
(260 citation statements)
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References 50 publications
(88 reference statements)
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“…From Fig. 4F we find that the construction of the optimal path for the whole ant colony is similar to that of chaotic annealing, which is an effective optimization mechanism (24,25). Fig.…”
Section: Resultsmentioning
confidence: 97%
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“…From Fig. 4F we find that the construction of the optimal path for the whole ant colony is similar to that of chaotic annealing, which is an effective optimization mechanism (24,25). Fig.…”
Section: Resultsmentioning
confidence: 97%
“…A larger y means a higher degree of chaotic crawling. Based on the mechanism of chaotic annealing (24), the continual decrement dynamics of y i (t) is represented by y i ðtÞ = y i ðt − 1Þ ð1+riÞ , which depends on the self-organization factor r i (see Methods for details on r i ). The movement adjustment of each ant is executed as follows:…”
Section: Resultsmentioning
confidence: 99%
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“…The first methods applying chaos to combinatorial optimization [4]- [6] was for the Hopfield-Tank neural networks [14]. Reference [4] transformed each neuron in the Hopfield-Tank neural networks to the form having chaotic dynamics, and showed the effectiveness of the chaotic dynamics for solution search.…”
Section: Chaos Applied To Combinatorial Optimizationmentioning
confidence: 99%
“…Cooper [5] developed the method of higher order neural networks (HONN) for mapping TSP and studied the stability conditions of valid solutions. A number of approaches based upon chaotic neural networks have also been proposed to solve the TSP, and excellent results with less local minima have been obtained due to the global search capability of the chaotic networks [6]- [10]. Manuscript It has been widely recognized that the Hopfield-Tank (H-T) formulation [1] of energy function often causes infeasible solutions in solving the TSP [11].…”
Section: Introductionmentioning
confidence: 99%