Difficulties in detecting chaos in a complex system

作者：

Highlights：

• Analysis of the all sequences generated by a 7D map.

• Application of the widely used methods detecting chaos in the real world.

• Evaluation of the invariants of the reconstructed attractors.

• Comparison of the results with those obtained for a 3D map.

• Results indicate some difficulties in detecting chaos in the 7D map.

摘要

•Analysis of the all sequences generated by a 7D map.•Application of the widely used methods detecting chaos in the real world.•Evaluation of the invariants of the reconstructed attractors.•Comparison of the results with those obtained for a 3D map.•Results indicate some difficulties in detecting chaos in the 7D map.

论文关键词：Detection of chaos,Complex chaotic systems,Embedding dimension,Correlation dimension,Lyapunov exponents

论文评审过程：Received 1 November 2014, Revised 16 February 2015, Accepted 11 March 2015, Available online 1 April 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.03.034