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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

SWITCHING SYNCHRONIZED CHAOTIC SYSTEMS APPLIED TO SECURE COMMUNICATION

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Author(s):
Rodrigues, Hildebrando M. [1] ; Wu, Jianhong [2] ; Gameiro, Marcio [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] York Univ, Dept Math & Stat, Lab Ind & Appl Math, Toronto, ON M3J 1P3 - Canada
[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION; v. 8, n. 2, p. 413-426, APR 2018.
Web of Science Citations: 1
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 is an element of {[}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 is an element of {[}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. (AU)

FAPESP's process: 13/07460-7 - Rigorous computations for PDEs
Grantee:Marcio Fuzeto Gameiro
Support Opportunities: Regular Research Grants
FAPESP's process: 16/08704-5 - Rigorous computations in dynamics
Grantee:Marcio Fuzeto Gameiro
Support Opportunities: Regular Research Grants
FAPESP's process: 16/21032-6 - Analysis of fluid dynamics data via persistent homology
Grantee:Marcio Fuzeto Gameiro
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 10/00875-9 - Topological methods and rigorous numerics for bifurcations of dynamical systems
Grantee:Marcio Fuzeto Gameiro
Support Opportunities: Regular Research Grants
FAPESP's process: 14/12277-0 - Synchronization and applications, wavelets on nonlinear oscillations and linearization in infinite dimensions
Grantee:Hildebrando Munhoz Rodrigues
Support Opportunities: Scholarships abroad - Research