TWO DISCRETE MEMRISTIVE CHAOTIC MAPS AND ITS DSP IMPLEMENTATION

Xintong Han, Jun Mou, Jinshi Lu, Santo Banerjee and Yinghong Cao
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Xintong Han: School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China
Jun Mou: School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China
Jinshi Lu: School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China
Santo Banerjee: ��Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy
Yinghong Cao: School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 06, 1-12

Abstract: In this paper, a discrete model of memristor is adopted and analyzed. The new discrete maps are built by introducing this discrete memristor model into a two-dimensional discrete map. Interestingly, introducing this discrete memristor model from different locations can lead to two new chaotic map models. The dynamical behaviors of the two maps are studied by means of bifurcation diagrams, phase diagrams and Lyapunov exponential spectra (LEs). The simulation results show that both chaotic systems have rich dynamical behaviors. In addition, they are experimentally found to have multi-stable properties, where the M-XM map has infinite attractors coexistence. Finally, we complete the hardware implementation of the two maps based on Digital Signal Processing (DSP) platform for the application of discrete chaotic systems.

Keywords: Chaotic Map; Memristor Model; Infinite Attractors Coexistence; Hardware Implementation (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0218348X23401047

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