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Srisuchinwong, B. and Munmuangsaen, B. (2010) A Highly Chaotic Attractor for a Dual-Channel Single Attractor, Private Communication System. Proceedings of the Third Chaotic Modeling and Simulation International Conference, Chania, Crete, Greece, June 2010, 177-184. https://doi.org/10.1142/9789814350341_0046

has been cited by the following article:

• TITLE: Stability and Adaptive Control with Sychronization of 3-D Dynamical System

  AUTHORS: Maysoon M. Aziz, Dalya M. Merie

  KEYWORDS: Stabilization, Dissipative System, Adaptive Control, Lapiynov Exponent

  JOURNAL NAME: Open Access Library Journal, Vol.7 No.2, February 28, 2020

  ABSTRACT: A three-dimensional system is presented with unknown parameters that employs two nonlinearities terms. The basic characteristics of the system are studied. The stability is measured by Characteristic equation roots, Routh stability criteria, Hurwitz stability criteria and Lapiynov function, all show that the system unstable. Then, Chaoticity is measured by maximum Lapiynov exponent of (Lmax=2.509426) and “Kaplan-Yorke” dimension (DL=2.22349544). The system is controlled effectively and synchronized by designed adaptive controllers. Furthermore, the theoretical and graphic results of the system before and after control are compared.