Generation and Dynamics Analysis of N-Scroll Existence via Four Different Functions in Translation Chaotic System

DOI

10.2991/msam-18.2018.50How to use a DOI?

Keywords

translation chaotic system; dynamics properties; lyapunov exponent; hopf bifurcation; poincaré map

Abstract

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.

Copyright

© 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/).

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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  -