Chaos and oscillations in a loaded plasma-filled diode

IEEE Transactions on Plasma Science

Volumn 28, Issue 3, 2000, Pages 462-471

  Chen, Xiaodong ^a   Lindsay, Peter A ^a   Zhang, Jianxin ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Chaos; Oscillations; Plasma filled diodes

Indexed keywords

BIFURCATION (MATHEMATICS); CATHODES; CHAOS THEORY; ELECTRONS; IONS; PLASMA OSCILLATIONS;

PLASMA FILLED DIODE; VIRTUAL CATHODE OSCILLATOR;

PLASMA DIODES;

EID: 0034196961     PISSN: 00933813     EISSN: None     Source Type: Journal    
DOI: 10.1109/27.887647     Document Type: Article

References (26)

1. B. V. Alyokhin, A. E. Dubinov, V. D. Seiemir, O. A. Shamro, K. V. Shibalko, N. V. Stepanov, and V. E. Vatrunin, "Theoretical and experimental studies of virtual cathode microwave devices," IEEE Trans. Plasma Sci., vol. 22, pp. 945-959, 1994.
2. W. Jiang, H. Kitano, L. Huang, K. Masugata, and K. Yatsui, "Effect of longitudinal magnetic field on microwave efficiency of virtual cathode oscillator," IEEE Trans. Plasma Sci., vol. 24, pp. 187-192, 1996.
3. I. G. Yovchev, K. G. Rostov, J. J. Barroso, and N. A. K. Nikolov, "Power and efficiency enhancement of reflex-triode virtual cathode oscillator operating at short pulse," IEEE Trans. Plasma Sci., vol. 26, pp. 767-773, 1998.
4. B. B. Godfrey, "Oscillatory nonlinear electron flow in a Pierce diode," Phys. Fluids, vol. 30, pp. 1553-1560, 1987.
5. P. A. Lindsay, J. Watkins, and X. Chen, "Controlling chaos in plasmafilled diodes,", U.S. Air Force Contract F49620-92-J-0219/P00001, Final Rep., Jan. 1994.
6. P. A. Lindsay, X. Chen, and M. Xu, "Plasma/electromagnetic field interaction and chaos," Int. J. Electron., vol. 79, no. 2, pp. 237-250, 1995.
7. X. Chen and P. A. Lindsay, Chaos in a Plasma-Filled Diode. Berlin: VDE-Verlag, 1995, pp. 91-100. ITG-Fachbericht 132/IEEE.
8. X. Chen, P. A. Lindsay, and J. Zhang, "The effect of load on chaos and oscillations in a plasma-filled diode," in Proc. 6th Int. Specialist Workshop Nonlinear Dynam. Electron. Syst., Budapest, Hungary, July 16-18, 1998, pp. 293-298.
9. E. Ott, C. Grebogi, and J. A. Yorke, "Controlling chaos," Phys. Rev. Lett., vol. 64, pp. 1196-1199, 1990.
10. T. Shinbrot, E. Ott, C. Grebogi, and J. A. Yorke, "Using chaos to direct trajectories to targets," Phys. Rev. Lett., vol. 65, pp. 3215-3218, 1990.
11. W. L. Ditto, S. N. Rauseo, and M. L. Spano, "Experimental control of chaos," Phys. Rev. Lett., vol. 65, pp. 3211-3214, 1990.
12. T. Shinbrot, W. Ditto, C. Grebogi, E. Ott, M. Spano, and J. A. Yorke, "Using the sensitive dependence of chaos (the "butterfly effect") to direct trajectories in an experimental chaotic system," Phys. Rev. Lett., vol. 68, pp. 2863-2866, 1992.
13. J. Singer, Y.-Z. Wang, and H. H. Bau, "Controlling a chaotic system," Phys. Rev. Lett., vol. 66, pp. 1123-1125, 1991.
14. T. C. Newell, P. M. Alsing, A. Gavrielides, and V. Kovanis, "Synchronization of chaotic diode resonators by occasional proportional feedback," Phys. Rev. Lett., vol. 72, pp. 1647-1650, 1994.
15. Y Braiman and I. Goldhirsch, "Taming chaotic dynamics with weak periodic perturbations," Phys. Rev. Lett., vol. 66, pp. 2545-2548, 1991.
16. H. Friedel, R. Grauer, and K. H. Spatschek, "Controlling chaotic states of a Pierce diode," Phys. Plasmas, vol. 5, pp. 3187-3194, 1998.
17. J. R. Pierce, "Limiting stable current in electron beams in the presence of ions,"/ Appl. Phys., vol. 15, pp. 721-726, 1944.
18. P. Burger, "Nonexistence of dc states in low-pressure thermionic converters," J. Appl. Phys., vol. 35, p. 3048, 1964.
19. X. Chen and P. A. Lindsay, "Oscillations and chaos in plasma-filled diodes," IEEE Trans. Plasma Sci., vol. 24, pp. 1005-1014, 1996.
20. P. A. Lindsay, X. Chen, J. Watkins, and J. Zhang, "Controlling chaos in plasma-filled diodes,", U.S. Air Force Contract F49620-97-I-0035, Second Progress Rep., Sept. 1998.
21. W. S. Lawson, "Particle simulation of bounded ID plasma systems," J. Comput. Phys., vol. 80, pp. 253-276, 1989.
22. "The Pierce diode with an external circuit: Simulations in the linear regime," J. Appl. Phys., vol. 64, p. 4838, 1988.
23. "The Pierce diode with an external circuit: I. Oscillations about nonuniform equilibria," Phys. Fluids B, vol. 1, pp. 1483-1492, 1989.
24. "The Pierce diode with an external circuit: II. Chaotic behavior," Phys. Fluids B. vol. 1, pp. 1493-1501, 1989.
25. S. Kühn and M. Hoerhager, "External-circuit effects on Pierce-diode stability behavior," J. Appl. Phys.. vol. 60, pp. 1952-1959, 1986.
26. P. A. Lindsay, X. Chen, J. Watkins, and J. Zhang, "Controlling chaos in plasma-filled diodes,", U.S. Air Force Contract F49620-97-I-0035, Final Rep., Feb. 2000.