Journal ArticleDOI
Parameter estimation for chaotic systems using the cuckoo search algorithm with an orthogonal learning method
Li Xiang-Tao,Yin Ming-Hao +1 more
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TLDR
An orthogonal learning cuckoo search algorithm is used to estimate the parameters of chaotic systems and it is demonstrated that this algorithm is better or at least comparable to the particle swarm optimization and the genetic algorithm when considering the quality of the solutions obtained.Abstract:
We study the parameter estimation of a nonlinear chaotic system, which can be essentially formulated as a multidimensional optimization problem In this paper, an orthogonal learning cuckoo search algorithm is used to estimate the parameters of chaotic systems This algorithm can combine the stochastic exploration of the cuckoo search and the exploitation capability of the orthogonal learning strategy Experiments are conducted on the Lorenz system and the Chen system The proposed algorithm is used to estimate the parameters for these two systems Simulation results and comparisons demonstrate that the proposed algorithm is better or at least comparable to the particle swarm optimization and the genetic algorithm when considering the quality of the solutions obtainedread more
Citations
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Animal migration optimization: an optimization algorithm inspired by animal migration behavior
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Modified cuckoo search algorithm with self adaptive parameter method
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TL;DR: Experimental results indicate that the proposed cuckoo search algorithm performs better than, or at least comparable to state-of-the-art methods from literature when considering the quality of the solutions obtained.
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Artificial Intelligence in Civil Engineering
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References
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Journal ArticleDOI
Deterministic nonperiodic flow
TL;DR: In this paper, it was shown that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states, and systems with bounded solutions are shown to possess bounded numerical solutions.
Proceedings ArticleDOI
Cuckoo Search via Lévy flights
Xin-She Yang,Suash Deb +1 more
TL;DR: A new meta-heuristic algorithm, called Cuckoo Search (CS), is formulated, based on the obligate brood parasitic behaviour of some cuckoo species in combination with the Lévy flight behaviour ofSome birds and fruit flies, for solving optimization problems.
Journal ArticleDOI
Yet another chaotic attractor
Guanrong Chen,Tetsushi Ueta +1 more
TL;DR: In this paper, the authors reported the finding of a chaotic at tractor in a simple three-dimensional autonomous system, which resembles some familiar features from both the Lorenz and Rossler at tractors.
Journal ArticleDOI
A new chaotic attractor coined
Jinhu Lu,Guanrong Chen +1 more
TL;DR: This letter reports the finding of a new chaotic attractor in a simple three-dimensional autonomous system, which connects the Lorenz attractor and Chen's attractsor and represents the transition from one to the other.
Journal ArticleDOI
An orthogonal genetic algorithm with quantization for global numerical optimization
Yiu-Wing Leung,Yuping Wang +1 more
TL;DR: The objective is to apply methods of experimental design to enhance the genetic algorithm, so that the resulting algorithm can be more robust and statistically sound and a quantization technique is proposed to complement an experimental design method called orthogonal design.