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

DOI10.1016/j.chaos.2009.03.119zbMath1198.93015OpenAlexW2081672255MaRDI QIDQ603962

Ju-Jang Lee, Hongrui Gao, Fei Gao, Heng-Qing Tong, Zhuo-Qiu Li

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.03.119

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Approximation methods and heuristics in mathematical programming (90C59) Software, source code, etc. for problems pertaining to systems and control theory (93-04)

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Uses Software

• Mathematica

Cites Work

• Parameter estimation for chaotic system with initial random noises by particle swarm optimization
• A piecewise linear model for the zones of instability of an area- preserving map
• A direct numerical method for quantifying regular and chaotic orbits
• Detecting unstable periodic orbits in chaotic systems by using an efficient algorithm
• An efficient method for locating and computing periodic orbits of nonlinear mappings
• Recent advances in evolutionary computation
• Numerical study of quadratic area-preserving mappings
• Quantum optimization
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