Abstract

In this paper, a new chaotic system is proposed by adding a magnetron memristor to an erbium-doped fiber laser circuit, and its dynamical characteristics are analyzed. A special periodic coexistence attractor phenomenon was discovered during the analysis, which affects the dynamical characteristics of the system by changing the time parameters of the AC power supply and it is controllable. Finally, the chaotic system is implemented by constructing an equivalent analog circuit. Theoretical analysis and simulation results show that the new erbium-doped fiber laser chaotic system has good dynamical characteristics and it is easy to implement. Meanwhile, the rich dynamical characteristics of the system provide a basis for its application in image encryption and other fields.

Highlights

  • I N 1985, Lorenz laser chaos of Haken model was discovered and verified by Weiso et al in the NH3 lasers system [1]

  • Many laser chaotic characteristics of the Haken model was verified in far infrared lasers [2], [3]

  • Since the time variable t directly affects the value of the AC power supply, a hypothesis is proposed, the coexistence of periodic attractors is related to the result of the function s=sin(x)

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Summary

INTRODUCTION

I N 1985, Lorenz laser chaos of Haken model was discovered and verified by Weiso et al in the NH3 lasers system [1]. 2) Periodic attractor coexistence When studying the coexistence of symmetry attractors in section 3.4.1, if the parameters are a=55, b=167, c=6.9, A=19, f=5.7 and the initial value is (10, 0, 3), the time constant t of the AC voltage source was designed to be a variable Under this condition, a new attractor coexistence phenomenon was (e). Since the time variable t directly affects the value of the AC power supply, a hypothesis is proposed, the coexistence of periodic attractors is related to the result of the function s=sin(x)

ACTUAL ANALOG CIRCUIT RESULTS
CONCLUSION
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