On the analysis of bipolar transistor based chaotic circuits: Case of a two-stage colpitts oscillator

Nonlinear Dynamics

Volumn 67, Issue 2, 2012, Pages 1247-1260

  Kengne, J ^a   Chedjou, J C ^b,c   Fono, V A ^a   Kyamakya, K ^c  

^a UNIVERSITÉ DE DSCHANG   (Cameroon)

^b UNIVERSITY OF DSCHANG   (Cameroon)

^c UNIVERSITY OF KLAGENFURT   (Austria)

Author keywords

Bifurcation; Chaos; Routh Hurwitz theorem; Stability; Two stage Colpitts oscillator

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; CIRCUIT OSCILLATIONS; CONVERGENCE OF NUMERICAL METHODS; HOPF BIFURCATION; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; TIMING CIRCUITS;

COLPITTS OSCILLATORS; COMMUNICATION APPLICATION; ELECTRONIC COMPONENT; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NUMERICAL EXPLORATION; ROUTH-HURWITZ THEOREM; SPECTRAL CHARACTERISTICS; TWO-STAGE COLPITTS OSCILLATORS;

BIPOLAR INTEGRATED CIRCUITS;

EID: 84855791453     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0066-7     Document Type: Article

References (31)

1. L.M. Pecora T.L. Carroll 1990 Synchronization in chaotic systems Phys. Rev. Lett. 64 8 821 824 1038263 10.1103/PhysRevLett.64.821
2. T. Yang 2004 A survey of chaotic secure communication systems Int. J. Comput. Cogn. 2 2 81 130
3. Silva, C.P.; Young, A.M.: Introduction to chaos-based communications and signal processing. In: Proc. IEEE Aerospace conf.; Big Sky, MT (USA), pp. 279-299 (2000) (Pubitemid 32838322)
4. H.B. Fotsin J. Daafouz 2005 Adaptive synchronization of uncertain chaotic Colpitts oscillators based on parameter identification Phys. Lett. A 339 304 315 10.1016/j.physleta.2005.03.049 1145.93313 (Pubitemid 40591633)
5. J.Y. Effa B.Z. Essimbi J.M. Ngudam 2009 Synchronization of improved chaotic Colpitts oscillators using nonlinear feedback control Nonlinear Dyn. 58 39 47 10.1007/s11071-008-9459-7 1183.78019
6. M.P. Kennedy 1994 Chaos in the Colpitts oscillator IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 41 771 774 10.1109/81.331536
7. G.M. Maggio O. De Feo M.P. Kennedy 1999 Nonlinear analysis of the Colpitts oscillator and application to design IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 46 1118 1130 10.1109/81.788813 0963.94053 (Pubitemid 30503708)
8. Zhang, J.: Investigation of chaos and nonlinear dynamical behaviour in two different self-driven oscillators. Ph.D. thesis, University of London (2001)
9. J. Zhang X. Chen A.C. Davies 2004 Loop gain and its association with the nonlinear behaviour and chaos in a transformer coupled oscillator Int. J. Bifurc. Chaos 14 2503 2512 10.1142/S0218127404010783 1066.94560 (Pubitemid 40242123)
10. Y. Hosokawa Y. Nishio A. Ushida 2001 Analysis of chaotic phenomenon in two RC phase shift oscillators coupled by a diode IEICE Trans. Fundam. Phys. E84-A 9 2288 2295 (Pubitemid 32909917)
11. N.F. Rulkov A.R. Volkovskii 2001 Generation of broad-band chaos using blocking oscillator IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 48 673 679 1853965 10.1109/81.928150 0999.94575 (Pubitemid 32609771)
12. Y.V. Andreyev A.S. Dmitriev E.V. Efremova A.D. Khilinsky L.V. Kuzmin 2005 Qualitative theory of dynamical systems, chaos and contemporary wireless communications Int. J. Bifurc. Chaos 15 3639 3651 2197755 10.1142/ S0218127405014295 1094.94002 (Pubitemid 43201380)
13. J.C. Chedjou K. Kyamakya V.D. Nguyen I. Moussa J. Kengne 2008 Performance evaluation of analog systems simulation methods for the analysis of nonlinear and chaotic modules in communications ISAST Trans. Electron. Sign. Processing 2 71 82
14. Glenn, C.M.: Synthesis of a fully-integrated digital signal source for communication from chaotic dynamics-based oscillations. Ph.D. thesis, Johns Hopkins University (2003)
15. Kengne, J.; Chedjou, J.C.; Kyamakya, K.: Stability and bifurcation analysis in electronic oscillators: Theory and some experiments. In: Proc. of the XV Int. Symp. on Theoretical Elect. Eng. (ISTET'09) Lueberg, Germany, pp. 173-177. (2009)
16. S. Bumeliene A. Tamasevicius G. Mykolaitis A. Bazaliauskas E. Lindberg 2006 Numerical investigation and experimental demonstration of chaos from two-stage Colpitts oscillator in the Ultrahigh frequency range Nonlinear Dyn. 44 167 172 10.1007/s11071-006-1962-0 1101.78316 (Pubitemid 43839080)
17. S. Bumeliene A. Tamasevicius G. Mykolaitis A. Baziliauskas E. Lindberg 2006 Numerical investigation and experimental demonstration of chaos from two-stage Colpitts oscillator Nonlinear Dyn. 44 39 47 10.1007/s11071-006-1962-0 (Pubitemid 43839080)
18. A. Tamasevicius G. Mykolaitis S. Bumeliene A. Cenys A.N. Anagnostopoulos E. Lindberg 2001 Two-stage chaotic Colpitts oscillator Electron. Lett. 37 549 551 10.1049/el:20010398 (Pubitemid 32445645)
19. G.M. Mahmoud S.A. Aly M.A. AL-Kashif 2008 Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system Nonlinear Dyn. 51 171 181 2362375 10.1007/s11071-007-9200-y 1170.70365 (Pubitemid 47632355)
20. S. Dadras H.R. Momeni G. Qi 2010 Analysis of a new 3D smooth autonomous system with different wing chaotic attractors and transient chaos Nonlinear Dyn. 62 391 405 2737002 10.1007/s11071-010-9726-2 05841014
21. Guckenheimer, J.; Holmes, P.: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Field. Springer, New York (1983)
22. L.O. Chua C.W. Wu A. Huang G.Q. Zhong 1993 A universal circuit for studying and generating chaos-Part I: Routes to chaos IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 40 731 744
23. J.C. Chedjou K. Kyamakya I. Moussa H.P. Kuchenbecker W. Matis 2006 Behavior of a self-sustained electromechanical transducer and routes to chaos J. Vib. Acoust. 128 282 293 10.1115/1.2172255 (Pubitemid 43986154)
24. M.P. Kennedy 1993 Three steps to chaos-Part II: A Chua's circuit primer IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 40 657 674 10.1109/81.246141 0844.58059
25. A. Cenys A. Tamasevicius A. Baziliauskas R. Krivickas E. Lindberg 2003 Hyperchaos in coupled Colpitts oscillators Chaos Solitons Fractals 17 349 353 10.1016/S0960-0779(02)00373-9 1036.94505
26. D.C. Hamill 1993 Learning about chaotic circuits with SPICE IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 36 1 28 35
27. G. Bennettin L. Galgani J.M. Strelcyn 1976 Kolmogorov entropy and numerical experiments Phys. Rev. A 14 2338 2345 10.1103/PhysRevA.14.2338
28. Strogatz, S.H.: Nonlinear Dynamics and Chaos: With Applications in Physics, Biology, Chemistry and Engineering. Addison-Wesley, New York (1994)
29. Medio, A.: Chaotic Dynamics: Theory and Applications in Economics. Cambridge University Press, Cambridge (1992)
30. Antognetti, P.; Kuznetzov, G.: Semiconductor Device Modelling with SPICE, 2nd edn. McGraw-Hill, New York (1993)
31. Franco, S.: Operational Amplifiers and Analog Integrated Circuits. McGraw-Hill, New York (1988)