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- Title
A Nonlinear Five-Term System: Symmetry, Chaos, and Prediction.
- Authors
Thoai, Vo Phu; Kahkeshi, Maryam Shahriari; Huynh, Van Van; Ouannas, Adel; Pham, Viet-Thanh
- Abstract
Chaotic systems have attracted considerable attention and been applied in various applications. Investigating simple systems and counterexamples with chaotic behaviors is still an important topic. The purpose of this work was to study a simple symmetrical system including only five nonlinear terms. We discovered the system's rich behavior such as chaos through phase portraits, bifurcation diagrams, Lyapunov exponents, and entropy. Interestingly, multi-stability was observed when changing system's initial conditions. Chaos of such a system was predicted by applying a machine learning approach based on a neural network.
- Subjects
FORECASTING; NONLINEAR systems; CHAOS theory; LYAPUNOV exponents; CHAOS synchronization; BIFURCATION diagrams
- Publication
Symmetry (20738994), 2020, Vol 12, Issue 5, p865
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym12050865