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Koronovskii A. A., Rempen I. S., Hramov A. E. Numerical study of chaotic dynamics control in distributed active medium. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 1, pp. 51-79. DOI: 10.18500/0869-6632-2004-12-1-51-79
Numerical study of chaotic dynamics control in distributed active medium
We investigate the possibility of controlling of complex time space dynamics of distributed beam-plasma system (fluid model of Pierce diode) with the help of several methods worked out for finite-dimensional systems. In the framework of the problem we analyse the unstable time-space periodical states similar to the unstable periodical orbits observed in the systems with few degree of freedom. The method of calculating the highest Lyapunov exponent of the distributed active system is also described.
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