TELECOMMUNICATIONS AND RADIO ENGINEERING - 2010 Vol. 69,
No 5 		 

 

 

 

Chaotic Behavior of Some Characteristics of a Linear Parametric Electrodynamic Process


N.N. Ruzhytska & A.G. Nerukh
Kharkov National University of Radio Engineering and Electronics,
14, Lenin Ave, Kharkiv, 61166, Ukraine
Address all correspondence to N.N. Ruzhytska E-mail: innov@kture.kharkov.ua

Abstract
Modulation of the electromagnetic field in a time varying linear medium is investigated using a model process which allows an exact solution. In is shown that dynamic chaos can arise for some characteristics of the process which effect is confirmed by both the Hurst index and the Lyapunov exponent.

KEY WORDS: wave transformation, dynamic chaos, periodic rectangular pulses, linear system



References
  1. Morgenthaler, F.R., (1958), Velocity modulation of electromagnetic waves, IRE Trans. on Microwave Theory and Techniques, pp.167-172.
  2. Nerukh, A.G., (1999), Intermittency of electromagnetic waves in a regular time-varying medium, J. Phys. D: Applied Physics. 32:2006-2013.
  3. Hurst, H.E., Black, R.P., and Simaika, Y.M., (1965), Long-Term Storage: An Experimental Study, London: Constable.
  4. Kuznetsov, S.P., (2000), Dynamic chaos, Moscow: 295 p. (in Russian).
  5. Hilborn, R.C., (2000), Chaos and nonlinear dynamic, Oxford University, Press.
  6. Ruzhytska, N.N., Nerukh, A.G., and Nerukh, D.A., (2003), Accurate modeling of pulse transformation by adjustable-in-time medium parameters, Optical and Quantum Electronics. 35(4):347-364.
  7. Khinchin, A.Ya., (1978), Continued fractions, Moscow (in Russian).


pages 393-401

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