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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


How to Resist Synchronization Attacks

Discontinuity, Nonlinearity, and Complexity 4(1) (2016) 1--9 | DOI:10.5890/DNC.2016.03.001

A.N. Pisarchik$^{1}$,$^{2}$; M. Jiménez-Rodríguez$^{3}$; R. Jaimes-Reátegui$^{4}$

$^{1}$ Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, Leon, Guanajuato, Mexico

$^{2}$ Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo, 28223 Pozuelo de Alarcon, Madrid, Spain

$^{3}$ Centro Universitario de la Ciénega, Universidad de Guadalajara, Av. Universidad 1115, Lindavista, Ocotlán, Jalisco, Mexico

$^{4}$ Centro Universitario de Los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Paseo de la Montaña, Lagos de Moreno, Jalisco, Mexico

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Conventional synchronization-based chaotic communication is vulnerable to synchronization attacks enable to recuperate system parameters. However, it is possible to make these attacks inefficient. The simple way to resist synchronization attacks is to change a parameter of the master system faster than the time needed for the system to synchronize. To verify this idea we construct a hybrid communication system composed of two chaotic R¨ossler oscillators and the chaotic logistic map. The latter is used for fast variation of the most sensitive system parameter when the R¨ossler oscillators synchronize. The algorithm is robust to noise in the communication channel.


This work has been supported by the teaching improvement program PROMEP/103.5/10/5818 and the reincorporation program for ex-fellowship students PROMEP/103.5/12/8149. A.N.P. acknowledges support from CONACYT.


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