https://doi.org/10.1140/epjst/e2019-900023-6
Regular Article
Parameter estimation in a new chaotic memristive system using ions motion optimization
1
University of Jinan Library, University of Jinan, Jinan, Shandong 250022, P.R. China
2
School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P.R. China
3
Ministry of Higher Education and Scientific Research, Baghdad, Iraq
4
Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
5
Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar
a e-mail: Youngmilnor@126.com
Received:
11
February
2019
Received in final form:
19
April
2019
Published online:
14
October
2019
In this paper, a new four-dimensional nonlinear oscillator is introduced. This oscillator is memristive and can exhibit chaotic behavior. A complete dynamical analysis is done on each parameter of this system by the help of bifurcation diagram and Lyapunov exponents’ diagram. In order to estimate parameters of the proposed system, we use a new cost function based on the similarity between return maps. Then, with the help of ions motion optimization method, we minimize the obtained cost function and find the exact value of parameters.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2019
