期刊
CHAOS
卷 29, 期 3, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.5087512
关键词
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资金
- National Natural Science Foundation of China [61672124, 61370145, 61173183]
- Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund [MMJJ20170203]
- Science and Technology Research Program of Chongqing Municipal Education Commission [KJ1703056, KJQN201800537]
- Research Project of Chongqing Normal University [17XLB001, 16XYY21]
To reduce parameter error caused by human factors and ensure the accuracy of the largest Lyapunov exponent (LLE) obtained from chaotic equations, this paper proposes a simple method based on two nearby pseudo-orbits. First, a point is selected from a solution trajectory of chaotic equation by the roundoff error. Second, the selected point is used as an initial condition to solve the same equation to obtain another solution trajectory. Third, the evolution distance of the two solution trajectories is calculated. Finally, the LLE is the slope of the linear region in the curve of the track distance of the natural algorithm. Our method has been successfully applied to simulate five well-known chaotic systems and some non-chaotic systems. The results show that, compared with other traditional methods, the proposed method is efficient, simple, and robust without reconstructing phase space and computing the Jacobian matrix. Published under license by AIP Publishing.
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