Complex periodic structures in bi-dimensional bifurcation diagrams of a RLC circuit model with a nonlinear NDC device

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 373, Issue 23-24, 2009, Pages 2050-2053

  Cardoso, Julio C D ^a   Albuquerque, Holokx A ^a   Rubinger, Rero M ^b  

^a SANTA CATARINA STATE UNIVERSITY   (Brazil)

^b FEDERAL UNIVERSITY OF ITAJUBÁ   (Brazil)

Author keywords

Chaotic circuit; Lyapunov exponents; Parameter spaces; Stability islands

Indexed keywords

BIFURCATION (MATHEMATICS); CIRCUIT SIMULATION; COMPLEX NETWORKS; GALLIUM ARSENIDE; III-V SEMICONDUCTORS; LYAPUNOV METHODS; PERIODIC STRUCTURES; TIMING CIRCUITS; TOPOLOGY;

CHAOTIC CIRCUITS; COMPLEX-PERIODIC STRUCTURE; LYAPUNOV EXPONENT; NEGATIVE DIFFERENTIAL CONDUCTIVITIES; PARAMETER SPACES; SEMI-INSULATING GALLIUM ARSENIDE; STABILITY ISLANDS; TOPOLOGICAL TRANSITIONS;

RESONANT CIRCUITS;

EID: 67349258983     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.04.024     Document Type: Article

References (35)

1. Pecora L.M., Carroll T.L., Johnson G.A., Mar D.J., and Heagy J.F. Chaos 7 (1997) 520
2. Yan J.-J., Lin J.-S., and Liao T.-L. Chaos Solitons Fractals 36 (2008) 45
3. Fortuna L., and Frasca M. Chaos 17 (2007) 043118
4. Pisarchik A.N., Jaimes-Reátegui R., Villalobos-Salazar J.R., García-López J.H., and Boccaletti S. Phys. Rev. Lett. 96 (2006) 244102
5. Shi Z., Hong S., and Chen K. Phys. Lett. A 372 (2008) 5575
6. Miliou A.N., Antoniades I.P., Stavrinides S.G., and Anagnostopoulos A.N. Nonlinear Anal.: Real World Appl. 8 (2007) 1003
7. L'Hernault M., Barbot J.-P., and Ouslimani A. IEEE Trans. Circuits Syst.-I 55 (2008) 614
8. Cruz-Hernández C., and Romero-Haros N. Commun. Nonlinear Sci. Numer. Simul. 13 (2008) 645
9. Chua L.O. J. Circuits Syst. Comput. 4 (1994) 117
10. Fotsin H., Bowong S., and Daafouz J. Chaos Solitons Fractals 26 (2005) 215
11. Li Z.G., Li K., Wen C.Y., and Soh Y.C. IEEE Trans. Commun. 51 (2003) 1306
12. Medrano-T R.O., Baptista M.S., and Caldas I.L. Chaos 16 (2006) 043119
13. Albuquerque H.A., Rubinger R.M., and Rech P.C. Physica D 233 (2007) 66
14. Albuquerque H.A., Rubinger R.M., and Rech P.C. Phys. Lett. A 372 (2008) 4793
15. Maranhão D.M., Sartorelli J.C., and Baptista M.S. Chaos Solitons Fractals 39 (2009) 9
16. Maranhão D.M., Baptista M.S., Sartorelli J.C., and Caldas I.L. Phys. Rev. E 77 (2008) 037202
17. Rubinger R.M., de Oliveira A.G., Ribeiro G.M., Bezerra J.C., Moreira M.V., and Chacham H. J. Appl. Phys. 88 (2000) 6541
18. Albuquerque H.A., de Oliveira A.G., Ribeiro G.M., da Silva R.L., Rodrigues W.N., Moreira M.V.B., and Rubinger R.M. J. Appl. Phys. 93 (2003) 1647
19. Shaw M.P., Grubin H.L., and Schöll E. The Physics of Instabilities in Solid State Electron Devices (1992), Plenum, New York
20. Rubinger R.M., da Silva R.L., de Oliveira A.G., Ribeiro G.M., Albuquerque H.A., Rodrigues W.N., and Moreira M.V.B. Chaos 13 (2003) 457
21. da Silva R.L., Albuquerque H.A., Rubinger R.M., de Oliveira A.G., Ribeiro G.M., and Rodrigues W.N. Physica D 194 (2004) 166
22. Gaspard P., Kapral R., and Nicolis G. J. Stat. Phys. 35 (1984) 697
23. Rössler J., Kiwi M., Hess B., and Markus M. Phys. Rev. A 39 (1989) 5954
24. Gallas J.A.C. Phys. Rev. Lett. 70 (1993) 2714
25. Hunt B.R., and Ott E. J. Phys. A: Math. Gen. 30 (1997) 7067
26. Bonatto C., Garreau J.C., and Gallas J.A.C. Phys. Rev. Lett. 95 (2005) 143905
27. Bonatto C., and Gallas J.A.C. Phys. Rev. E 75 (2007) 055204R
28. Bonatto C., and Gallas J.A.C. Phys. Rev. Lett. 101 (2008) 054101
29. Bonatto C., and Gallas J.A.C. Philos. Trans. R. Soc. London, Ser. A 366 (2008) 505
30. Baptista M.S. Ph.D. thesis, University of São Paulo, 1996, Chapter 5, p. 101. http://www.teses.usp.br
31. Zhou W., Xu Y., Lu H., and Pan L. Phys. Lett. A 372 (2008) 5773
32. Gallas J.A.C. Appl. Phys. B B60 (1995) S203 special supplement, festschrift in honor of Herbert Walther
33. Komuro M., Tokunaga R., Matsumoto T., Chua L.O., and Hotta A. Int. J. Bifur. Chaos 1 (1991) 139
34. Fortuna L., Frasca M., Graziani S., and Reddiconto S. Nonlinear Dyn. 44 (2006) 55
35. Albuquerque H.A., da Silva R.L., Rubinger R.M., de Oliveira A.G., Ribeiro G.M., and Rodrigues W.N. Braz. J. Phys. 36 (2006) 248