PMID: 11308936Apr 20, 2001Paper

Parameter-adaptive identical synchronization disclosing Lorenz chaotic masking

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A d'AnjouM Graña

Abstract

A parameter-adaptive rule that globally synchronizes oscillatory Lorenz chaotic systems with initially different parameter values is reported. In principle, the adaptive rule requires access to the three state variables of the drive system but it has been readapted to work with the exclusive knowledge of only one variable, a potential message carrier. The rule is very robust and can be used to trace parameter modulation conveying hidden messages. The driven system is defined according to a drive-driven type of coupling that guarantees synchronization if parameters are identical. From any arbitrary initial state, the parameters of the driven system are dynamically adapted to reach convergence to the drive parameter values. At this point, synchronization mismatch or parameter tracing is used to unmask any potential hidden message.

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Citations

Nov 28, 2013·PloS One·Inés P MariñoAlexey Zaikin
Apr 2, 2008·Chaos·Hu Jinfeng, Guo Jingbo
Jul 11, 2006·Chaos·Jack Waddell, Michal Zochowski
Jun 11, 2004·Chaos·Gong XiaofengC H Lai
Sep 28, 2004·Chaos·Rhonda Dzakpasu, Michał Zochowski
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R FestaD Vincenzi
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Inés P Mariño, Joaquín Míguez
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ashraf A Zaher
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R E Amritkar
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yu ZhangJack J Jiang
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H LeungK Murali

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