Chaos in a nonlinear analog computer

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 8, 2004, Pages 2867-2873

  Kiers, Ken ^a   Klein, Tim ^a,c   Kolb, Jeff ^a,d   Price, Steve ^a,e   Sprott, J C ^b  

^a TAYLOR UNIVERSITY   (United States)

^b University of Wisconsin Madison   (United States)

^c University of Minnesota   (United States)

^d UNIVERSITY OF OREGON   (United States)

^e MONTANA STATE UNIVERSITY   (United States)

Author keywords

Electronic chaos; Nonlinear analog computer

Indexed keywords

ANALOG COMPUTERS; APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); FUNCTIONS; ITERATIVE METHODS; MAPPING; MATHEMATICAL MODELS; NETWORKS (CIRCUITS); NONLINEAR SYSTEMS; OPERATIONAL AMPLIFIERS; PARAMETER ESTIMATION;

BIFURCATION POINTS; ELECTRONIC CHAOS; ITERATED MAPS; NONLINEAR ANALOG COMPUTER;

CHAOS THEORY;

EID: 4944231787     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404010898     Document Type: Article

References (13)

1. Elwakil, A. S. & Kennedy, M. P. [2000] "Generic RC realizations of Chua's circuit," Int. J. Bifurcation and Chaos 10, 1981-1985.
2. Elwakil, A. S. & Kennedy, M. P. [2001] "Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices," IEEE Trans. Circuits Syst.-I 48, 289-307.
3. Gottlieb, H. P. W. [1996] "Question #38. What is the simplest jerk function that gives chaos?" Am. J. Phys. 64, p. 525.
4. Horowitz, P. & Hill, W. [1989] The Art of Electronics, 2nd edition (Cambridge University Press, NY).
5. Linz, S. J. [1997] "Nonlinear dynamical models and jerky motion," Am. J. Phys. 65, 523-526.
6. Linz, S. J. & Sprott, J. C. [1999] "Elementary chaotic flow," Phys. Lett. A259, 240-245.
7. Madan, R. N. [1993] Chua's Circuit: A Paradigm for Chaos (World Scientific, Singapore).
8. Matsumoto, T., Chua, L. O. & Komuro, M. [1985] "The double scroll," IEEE Trans. Circuits Syst. CAS 32, 797-818.
9. Matsumoto, T., Chua, L. O. & Komuro, M. [1987] "Birth and death of the double scroll," Physica D24, 97-124.
10. Sprott, J. C. [1997] "Some simple chaotic jerk functions," Am. J. Phys. 65, 537-543.
11. Sprott, J. C. [2000a] "Simple chaotic systems and circuits," Am. J. Phys. 68, 758-763.
12. Sprott, J. C. [2000b] "A new class of chaotic circuit," Phys. Lett. A266, 19-23.
13. Tôrres, L. A. B. & Aguirre, L. A. [2000] "Inductorless Chua's circuit," Electron. Lett. 36, 1915-1916.