Article

Article title PARAMETRIC AND AUTOPARAMETRIC SYSTEMS WITH CHAOTIC DYNAMICS
Authors V.P. Tepin, A.V. Tepin
Section SECTION II. NONLINEAR DYNAMICS AND SYSTEM SYNTHESIS
Month, Year 06, 2011 @en
Index UDC 621.396
DOI
Abstract In this paper, we study the peculiarities of the dynamics of non-stationary chaotic systems under external or internal parametric control. In the systems under consideration, a scalar control action governs the chaotic process evolution rate. This is achieved by the derivative value of each state variable synchronous variation. As the result, the dynamic chaos time and frequency domain characteristics control is provided by means of the control action behavior variation. Simulation results are presented for some parametric and autoparametric modes of chaotic system based on Chua’s stationary prototype.

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Keywords Dynamic chaos; chaos control; non-stationary chaotic systems; parametric control; autoparametric control.
References 1. Андриевский Б.Р., Фрадков А.Л. Управление хаосом: методы и приложения // Автоматика и телемеханика. – 2003. – № 5. – C. 3-45, а также 2004. – № 4. – C. 3-34.
2. Corron N.J. and Hahs D.W. A new approach to communication using chaotic signals. IEEE Transactions on Circuits and Systems–I: Fundamental Theory and Applications. – 1997. – Vol. 44, № 10. – P. 373-381.
3. Yang T. and Chua L.O. Secure communication via chaotic parameter modulation. IEEE Trans. Circuits Syst. I. – 1996. – Vol. 43. – P. 817-819.
4. Dmitriev A.S., Kuzmin L.V., Laktushin A.M. Amplitude modulation of chaotic signals. Proceedings of the 1st IEEE International Conference on Circuits and Systems for Communication (ICCSC’04), Moscow, Russia, 2004.
5. Шахтарин Б.И. и др. Генераторы хаотических колебаний. – М.: Гелиос АРВ, 2007. – 248 с.
6. Pecora L., Carrol T. Synchronization in chaotic systems. Phys. Rev. Lett. – 1990. – Vol. 64. – P. 821-824.
7. Кононов А.Ф. О проблеме синтеза систем передачи информации с хаотической несущей: синергетический подход // Известия ЮФУ. Технические науки. – 2009. – №1 (90). – С. 71-76.
A. Volkovskii. Synchronization of Chaotic Systems Using Phase Control. IEEE Transactions on Circuits and Systems–I: Fundamental Theory and Applications. – 1997. – Vol. 44, №. 10. – P. 913-917.
8. Тепин В.П. Автопараметрические гиперхаотические системы конфиденциальной связи. – Труды 7-й Международной конференции «Теория и техника передачи, приема и обработки информации. – Харьков: ХТУРЭ, 2001. – C. 8-11.
9. Torres W.P., Oppenheim A.V., and Rosales R.R. Generalized Frequency Modulation, IEEE Transactions on Circuits and Systems–I: Fundamental Theory and Applications. – 2001. – Vol. 48, № 12. – P. 1405-1412.
10. Tepin V.P. Self-Parametric Chaotic Oscillators for Secure Communication Systems, Proceedings of the 1st IEEE International Conference on Circuits and Systems for Communication (ICCSC’02). St. Petersburg, Russia, June 2002. – P. 271-274.
11. Ланда П.С. Нелинейные колебания и волны. – М.: Наука: Физматлит, 1997. – 496 с.

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