Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:D3L-B

Session:

Number:907

Propagation Waves in a Ladder of Coupled Simultaneous Oscillators

Saori Fujioka,  Yang Yang,  Yoko Uwate,  Yoshifumi Nishio,  

pp.907-910

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.907

PDF download (2.1MB)

In this study, we investigate a ladder of simultaneous oscillators with three or four LC resonators coupled by inductors. By computer simulations, we observe a new type of waves where oscillation frequency or/and oscillation amplitude of each resonator changes according to the wave propagation. Further, we confirm that the oscillation amplitude of each resonator depend on its positions.

[1] C. Hayashi, Nonlinear oscillations in physical systems, Princeton Univ. Press, p. 367, 1984.

[2] V.I. Arnold, Geometrical methods in the theory of ordinary differential equations, Springer-Verlag, pp. 270-272, 1988.

[3] S.P. Datardina and D.A. Linkens, “Multimode oscillations in mutually coupled van der Pol type oscillators with fifth-power nonlinear characteristics,” IEEE Trans. Circuits Syst., Vol. 25, No. 5, pp. 308-315, May 1978.

[4] J. Schaffner, “Simultaneous oscillations in oscillators,” IRE Trans. Circuit Theory, Vol. 1, pp. 2-81, Jun. 1954.

[5] M. Kuramitsu and F. Takase, “Averaged potential analysis of multi mode oscillators with hard operating conditions,” IEICE Technical Report on NLP, Vol. 81, No. 13, pp. 1-10, Sep. 1981.

[6] M. Matsuki and S. Mori, “Asynchronous simultaneous oscillations in negative resistance oscillatory circuit containing periodically operating analog switch,” IEICE Technical Report on CAS, Vol. 101, pp. 81-87, Jun. 1993.

[7] M. Matsuki and S. Mori, “Asynchronous excitation phenomena in negative resistance oscillatory circuit containing periodically operating analog switch,” IEICE Technical Report on NLP, Vol. 94, pp. 51-58, May 1994.

[8] C. Higashi and Y. Nishio, “Investigation of synchronization phenomena in coupled simultaneous oscillators,” Proceedings of NCSP'10, pp. 113-116, Mar. 2010.

[9] Y. Nishio, Y. Yang and Y. Uwate, “Synchronization phenomena in simultaneous oscillators coupled by an inductor,” Proceedings of NCSP'11, pp. 147-150, Mar. 2011.

[10] S. Fujioka, Y. Yang, Y. Uwate and Y. Nishio, “Double-mode simultaneous oscillation in three coupled hard oscillators,” Proceedings of NCSP'12, pp. 72-75, Mar. 2012.

[11] M. Yamauchi, M. Wada, Y. Nishio and A. Ushida, “Wave propagation phenomena of phase states in oscillators coupled by inductors as a ladder,” IEICE Trans. Fundamentals, Vol. E82-A, No. 11, pp. 2592-2598, Nov. 1999.

[12] M. Yamauchi, Y. Nishio and A. Uahida, “Phase-waves in a ladder of oscillators,” IEICE Trans. Fundamentals, Vol. E86-A, No. 4, pp. 891-899, Apr. 2003.

[13] S. Fujioka, Y. Yang, Y. Uwate and Y. Nishio, “Two kinds of waves in a ladder of coupled simultaneous oscillators,” Proceedings of NDES'12, Jul. 2012 (printing).