Electronic circuit realization of the logistic map

Sadhana - Academy Proceedings in Engineering Sciences

Volumn 31, Issue 1, 2006, Pages 69-78

  Suneel, Madhekar ^a  

^a DRDO   (India)

Author keywords

Analog computation; Chaos; Dynamical systems; Nonlinear dynamics

Indexed keywords

ANALOG COMPUTATION; ANALOG ELECTRONICS; DYNAMICAL SYSTEMS;

CHAOS THEORY; CHEMICAL ANALYSIS; COMPUTER SIMULATION; DIFFERENCE EQUATIONS;

NETWORKS (CIRCUITS);

EID: 33745000966     PISSN: 02562499     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02703801     Document Type: Article

References (18)

1. Baker G, Gollub J 1990 Chaotic dynamics: An introduction (Cambridge: University Press)
2. Cong L, Songgeng S 1998 Chaotic frequency hopping sequences IEEE Trans. Commun. 46: 1433-1437
3. Galias Z, Maggio G M 2001 Quadrature chaos shift keying: Theory and performance analysis. IEEE Trans. Circuits Syst. - I 48: 1510-1519
4. Hasler M J 1987 Electrical circuits with chaotic behaviour. Proc. IEEE 75: 1009-1021
5. Heidari-Bateni G, McGillem C D 1994 A chaotic direct-sequence spread-spectrum communication system. IEEE Trans. Commun. 42: 1524-1527
6. Kiers K, Schmidt D 2004 Precision measurements of a simple chaotic circuit. Am. J. Phys. 72: 503-509
7. Kumar N 1996 Deterministic chaos, complex chance out of simple necessity (Hyderabad: Universities Press)
8. Mandal S 2002 Spread spectrum communication using chaotic signals. B. Tech. thesis, Indian Institute of Technology, Kharagpur
9. Mandal S, Banerjee S 2003 A chaos based spread spectrum communication system Natl. Conf. Nonlinear Systems and Dynamics, Kharagpur (Also at http://www.cts.iitkgp.ernet.in/~ncnsd/cd_ncnsd/html/pdf/309-312.pdf)
10. Matsumoto T 1987 Chaos in electronic circuits. Proc. IEEE 75: 1033-1056
11. May R 1976 Simple mathematical models with very complicated dynamics. Nature (London) 261:459
12. Murakoshi K, Morie T, Nagata M, Iwata A 2000 An arbitrary chaos generator core circuit using PWM/PPM signals. IEEE Asia & S. Pacific Design Automation Conf. Yokohama, Japan
13. Murali K, Sinha S, Ditto W L 2003 Realization of the fundamental NOR gate using a chaotic circuit. Phys. Rev. E68: 1-5
14. National Semiconductor Corp. 2000 LF198/ LF298/ LF398/ LF198A/ LF398A Monolithic sample-and-hold circuits (Datasheet)
15. Pethel S D, Corron N J, Underwood Q, Myneni K 2002 Chaos synchronization via the transmission of symbolic information. 7th Exp. Chaos Conf., San Diego, California.
16. Also published in AIP Conference Proceedings Vol. 676 (American Institute of Physics)
17. Sprott J C, Linz S J 2000 Algebraically simple chaotic flows. Int. J. Chaos Theor. Appl. 5
18. Texas Instruments 2004 MPY634 Wide bandwidth precision analog multiplier (Datasheet)