Natural Exponential and Three‐Dimensional Chaotic System

Author:

Liu Shiwei1ORCID,Wang Qiaohua1,Liu Chengkang1,Sun Yanhua2,He Lingsong2

Affiliation:

1. College of Engineering Huazhong Agricultural University Wuhan 430070 China

2. School of Mechanical Science and Engineering Huazhong University of Science and Technology Wuhan 430074 China

Abstract

AbstractExisting chaotic system exhibits unpredictability and nonrepeatability in a deterministic nonlinear architecture, presented as a combination of definiteness and stochasticity. However, traditional two‐dimensional chaotic systems cannot provide sufficient information in the dynamic motion and usually feature low sensitivity to initial system input, which makes them computationally prohibitive in accurate time series prediction and weak periodic component detection. Here, a natural exponential and three‐dimensional chaotic system with higher sensitivity to initial system input conditions showing astonishing extensibility in time series prediction and image processing is proposed. The chaotic performance evaluated theoretically and experimentally by Poincare mapping, bifurcation diagram, phase space reconstruction, Lyapunov exponent, and correlation dimension provides a new perspective of nonlinear physical modeling and validation. The complexity, robustness, and consistency are studied by recursive and entropy analysis and comparison. The method improves the efficiency of time series prediction, nonlinear dynamics‐related problem solving and expands the potential scope of multi‐dimensional chaotic systems.

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

China Postdoctoral Science Foundation

Publisher

Wiley

Subject

General Physics and Astronomy,General Engineering,Biochemistry, Genetics and Molecular Biology (miscellaneous),General Materials Science,General Chemical Engineering,Medicine (miscellaneous)

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