A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Natural Exponential and Three‐Dimensional Chaotic System
Existing 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.
Natural Exponential and Three‐Dimensional Chaotic System
Existing 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.
Natural Exponential and Three‐Dimensional Chaotic System
Liu, Shiwei (author) / Wang, Qiaohua (author) / Liu, Chengkang (author) / Sun, Yanhua (author) / He, Lingsong (author)
Advanced Science ; 10
2023-05-01
14 pages
Article (Journal)
Electronic Resource
English
Six-Dimensional Chaotic System and its Circuit Implementation
| British Library Conference Proceedings | 2011
Three-dimensional parking system adopting natural and mechanical smoke exhaust
| European Patent Office | 2020
Foreword. The exponential increase in the development of natural gas
| Online Contents | 2015
Three-Dimensional Numerical Model for Flow through Natural Rivers
| British Library Online Contents | 1998
Three-Dimensional Numerical Model for Flow through Natural Rivers
| Online Contents | 1998