SWITCHING SYNCHRONIZED CHAOTIC SYSTEMS APPLIED TO SECURE COMMUNICATION

Hildebro M. Rodrigues; Jianhong Wu; Marcio Gameiro

doi:10.11948/2018.413

2018 Volume 8 Issue 2

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Hildebro M. Rodrigues, Jianhong Wu, Marcio Gameiro. SWITCHING SYNCHRONIZED CHAOTIC SYSTEMS APPLIED TO SECURE COMMUNICATION[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 413-426. doi: 10.11948/2018.413

Citation:

Hildebro M. Rodrigues, Jianhong Wu, Marcio Gameiro. SWITCHING SYNCHRONIZED CHAOTIC SYSTEMS APPLIED TO SECURE COMMUNICATION[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 413-426. doi: 10.11948/2018.413

SWITCHING SYNCHRONIZED CHAOTIC SYSTEMS APPLIED TO SECURE COMMUNICATION

1 Departamento de Matemática Aplicada e Estatística, Instituto de Ci^encias Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos, SP, Brazil;
2 Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics, York University, Toronto, Canada, M3J 1P3;
3 Instituto de Ci^encias Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos, SP, Brazil

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Abstract

Abstract

The purpose of this paper is to study the behavior of the solutions of two synchronized chaotic systems when the solutions switch from the first to the second system and vice-versa. The initial condition is chosen in the first system and the solutions travels for time t ∈[0,h], where h>0. The value of the solution at time h is then chosen as the initial condition for the solution of the second system and this solution travels for time t ∈[h,2h]. The value of the solution at time 2h is then chosen as the initial value for the solution of the first system and so on. The first system is composed of two subsystems, Master and Slave that are synchronized. We present applications using the Lorenz, Chua and Chen systems. Some simulations using Matlab are presented.
- Synchronization /
- switching systems /
- chaotic systems
MSC: 34D06;37D45

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References

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