Emulating complex business cycles by using an electronic analogue

Nonlinear Analysis: Real World Applications

Volumn 13, Issue 6, 2012, Pages 2459-2465

  Bouali, S ^a   Buscarino, A ^b,c   Fortuna, L ^b,c   Frasca, M ^b,c   Gambuzza, L V ^b  

^a UNIVERSITY OF TUNIS   (Tunisia)

^b UNIVERSITY OF CATANIA   (Italy)

^c SCUOLA SUPERIORE DI CATANIA   (Italy)

Author keywords

Bifurcations; Chaos; Economic cycles; Nonlinear circuits

Indexed keywords

BIFURCATIONS AND CHAOS; BUSINESS CYCLES; CHAOTIC CIRCUITS; COMPLEX INTERACTION; DYNAMICAL PHENOMENA; ECONOMIC CYCLES; ECONOMIC SYSTEM; ELECTRONIC IMPLEMENTATIONS; MODELIZATION; NONLINEAR CIRCUIT; OSCILLATORY BEHAVIORS; PLUG AND PLAY; STANDARD COMPONENTS; THEORETICAL VALUES;

BIFURCATION (MATHEMATICS); CHAOS THEORY;

AGGLOMERATION;

EID: 84861941491     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2012.02.010     Document Type: Article

References (27)

1. National Bureau of Economic Research, 2011. Available online at: http://www.nber.org/cycles.html.
2. J.A. Schumpeter Business Cycles. A Theoretical, Historical and Statistical Analysis of the Capitalist Process 1939 McGraw-Hill Book Company New York, Toronto, London
3. R.M. Goodwin A growth cycle C.H. Feinstein, Socialism, Capitalism and Economic Growth 1967 Cambridge University Press Cambridge
4. A.J. Lotka Elements of Physical Biology 1925 Williams & Wilkins Co. Baltimore
5. V. Volterra Variazioni e fluttuazioni del numero d'individui in specie animali conviventi Mem. R. Accad. Naz. dei Lincei, Ser. VI 2 1926
6. B. Van der Pol On relaxation-oscillations The London, Edinburgh and Dublin Phil. Mag. & J. Sci. 2 7 1927 978 992
7. S. Bouali Feedback loop in extended Van Der Pol's equation applied to an economic model of cycles Internat. J. Bifur. Chaos 9 1999 745 756
8. E.N. Lorenz The Essence of Chaos 1993 University of Washington Press Seattle, Washington
9. C. Sparrow The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors 1982 Springer-Verlag New York
10. L.E. Matson The Malkus-Lorenz water wheel revisited Amer. J. Phys. 75 2007 1114 1122
11. M. Kolà, and G. Gumbs Theory for the experimental observation of chaos in a rotating waterwheel Phys. Rev. A 45 1992 626 637
12. Y. Liu, and Q. Yang Dynamics of a new Lorenz-like chaotic system Nonlinear Anal. RWA 11 2010 2563 2572
13. X.-F. Li, K.E. Chlouverakis, and D.-L. Xu Nonlinear dynamics and circuit realization of a new chaotic flow: a variant of Lorenz, Chen and Lü Nonlinear Anal. RWA 10 2009 2357 2368
14. L. Fortuna, M. Frasca, and M.G. Xibilia Chua's Circuit Implementations: Yesterday, Today and Tomorrow 2009 World Scientific
15. J.T. Cuddington Capital Flights: Estimates, Issues and Explanations Princeton Studies in Int. Finance vol. 58 1986
16. E.N. Lorenz Deterministic nonperiodic flow J. Atmospheric Sci. 20 1963 130 141
17. R.N. Madan Chua's Circuit: A Paradigm for Chaos World Scientific Series on Nonlinear Sciences, Series B vol. 1 1993 World Scientific Singapore
18. T. Saito Reality of chaos in four-dimensional hysteretic circuits IEEE Trans. Circuits Syst. I 38 12 1991 1517 1524
19. K. Mitsubori, and T. Saito A four-dimensional plus hysteresis chaos generator IEEE Trans. Circuits Syst. I 41 12 1994 782 789
20. L. Fortuna, M. Frasca, S. Graziani, and S. Reddiconto A chaotic circuit with ferroelectric nonlinearity Nonlinear Dynam. 44 1-4 2006 55 61
21. M. Itoh, and L.O. Chua Memristor oscillators Internat. J. Bifur. Chaos 18 2008 3183 3206
22. B. Muthuswamy Implementing memristor based chaotic circuits Internat. J. Bifur. Chaos 20 2010 1335 1350
23. B. Muthuswamy Simplest chaotic circuit Internat. J. Bifur. Chaos 20 2010 1567 1580
24. A. Buscarino, L. Fortuna, M. Frasca, L.V. Gambuzza, and G. Sciuto Memristive chaotic circuits based on cellular nonlinear networks Internat. J. Bifur. Chaos 22 3 2012 1250070-1-13
25. G. Chen, and T. Ueta Chaos in Circuits and Systems World Scientific Series on Nonlinear Science, Series B vol. 11 2002
26. E. Lindberg, K. Murali, and A. Tamasevicius The smallest transistor-based nonautonomous chaotic circuit IEEE Trans. Circuits Syst. II 52 10 2005 661 664
27. S. Hayes, C. Grebogi, and E. Ott Communicating with chaos Phys. Rev. Lett. 70 1993 3031 3034