Generation and Dynamics Analysis of N-Scroll Existence via Four Different Functions in Translation Chaotic System
- 10.2991/msam-18.2018.50How to use a DOI?
- translation chaotic system; dynamics properties; lyapunov exponent; hopf bifurcation; poincaré map
In the three-dimensional ordinary differential equations, a systematic methodology for generating and designing N-scroll chaotic attractors have been proposed by Liu in 2016, which was named the translation chaotic system and the translation transformation principle, respectively. In this paper, generation N-scroll existence four different functions are been proposed. They are absolute function, sign function, the piecewise and hyperbolic function. Then, the dynamics properties in the chaotic system via different methods are investigated in detail. Furthermore, MATLAB simulation results show that these methods emerge similar but topologically non-equivalent chaotic attractors.
- © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Yue Liu PY - 2018/07 DA - 2018/07 TI - Generation and Dynamics Analysis of N-Scroll Existence via Four Different Functions in Translation Chaotic System BT - Proceedings of the 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018) PB - Atlantis Press SP - 237 EP - 242 SN - 1951-6851 UR - https://doi.org/10.2991/msam-18.2018.50 DO - 10.2991/msam-18.2018.50 ID - Liu2018/07 ER -