Torus destruction and chaos-chaos intermittency in a commodity distribution chain

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 6, 1997, Pages 1225-1242

  Sosnovtseva, O ^a   Mosekilde, E ^b  

^a SARATOV STATE UNIVERSITY   (Russian Federation)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009328735     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497000996     Document Type: Article

References (32)

1. Anishchenko, V. S. & Neiman, A. B. [1984] "Statistical properties of intermittency in quasihyperbolic systems," J. Tech. Phys. 17, 3-14.
2. Anishchenko, V. S., Kapitaniak, T., Safonova, M. A. & Sosnovtseva, O. V. [1994a] "Birth of double-double scroll attractor in coupled Chua circuits," Phys. Lett. A192, 207-214.
3. Anishchenko, V. S., Neimen, A. B. & Chua, L. O. [1994b] "Chaos-chaos intermittency and 1/f noise in Chua's circuit," Int. J. Bifurcation and Chaos, 4, 99-107.
4. Arnol'd, V. I., Afraimovich, V. S., Iljashenko, Y. S. & Shil'nikov, L. P. [1994] Dynamical Systems. Vol. 5, Bifurcation Theory and Catastrophe Theory (Springer-Verlag, New York, Berlin, Heidelberg).
5. Baier, G., Thomsen, J. S. & Mosekilde, E. [1993] "Chaotic hierarchy in a model of competing populations," J. Theor. Biol. 165, 593-607.
6. Begg, D. K. H. [1982] The Rational Expectations Revolution in Macroeconomics: Theories and Evidence (Johns Hopkins University Press, Baltimore).
7. Davis, H. L., Hoch, S. J. & Easton-Ragsdale, E. K. [1986] "An anchoring and adjustment model of spousal predictions," J. Consumer Res., 13, 25-37.
8. Day, R. H. & Chen, P. [1993] Nonlinear Dynamics and Evolutionary Economics (Oxford University Press, New York).
9. Day, R. H. & Shafer, W. [1987] "Ergodic fluctuations in deterministic economic models," J. Economic Behavior and Organization, 8, 339-361.
10. Einhorn, H. J. & Hogarth, R. M. [1985] "Ambiguity and uncertainty in probabilistic inference," Psychological Rev. 92, 433-461.
11. Giberti, C. & Vernia, C. [1994] "Normally attracting manifolds and periodic behavior in one-dimensional and two-dimensional coupled map lattices," Chaos 4 651-663.
12. Grebogi, C., McDonald, S. W., Ott, E. & Yorke, J. A. [1983] "Final state sensitivity: An obstruction to predictability," Phys. Lett. A99, 415-418.
13. Grebogi, C., Ott, E., Romeiras, F. & Yorke, J. A. [1987] "Critical exponents for crisis-induced intermittency," Phys. Rev. A36, 5365-5380.
14. Haxholdt, C., Kampmann, C., Mosekilde, E. & Sterman, J. D. [1995] "Entrainment in a disaggregated economic long wave model," Syst. Dynam Rev 11 177-198.
15. Ishii, H., Fujisaka, H. & Inoue, M. [1986] "Breakdown of chaos symmetry and intermittency in the double-well potential system," Phys. Lett. A116, 257-263.
16. Jarmain, W. E. [1963] Problems in Industrial Dynamics (MIT Press, Cambridge).
17. Kaneko, K. [1989] "Pattern dynamics in spatiotemporal chaos," Physica D34, 1-41.
18. Kaneko, K. [1990] "Supertransients, spatiotemporal intermittency and stability of fully developed spatiotemporal chaos," Phys. Lett. A149, 105-112.
19. Leydesdorff, L. & Besselaar, P. V. D. [1994] Evolutionary Economics and Chaos Theory (Pinter Publishers, London).
20. Lorenz, H.-W. [1987a] "International trade and the possible occurrence of chaos," Economic Lett 23, 135-138.
21. Lorenz, H.-W. [1987b] "Strange attractor in a multisector business cycle model," J. Economic Behavior and Organization 8, 397-411.
22. Lorenz, H.-W. [1989] Non-Linear Dynamical Economics and Chaotic Motion, Lecture Notes in Economics and Mathematical Systems, Vol. 228 (Springer-Verlag, Berlin).
23. Mosekilde, E. & Larsen, E. R. [1988] "Deterministic chaos in the beer production-distribution model," Syst. Dyn. Rev. 4, 131-147.
24. Mosekilde, E., Larsen, E. R., Sterman, J. D. & Thomsen, J. S. [1992] "Nonlinear mode-interaction in the macroeconomy," Annals Operations Res 37 185-215.
25. Nagatani, H. & Crowley, K. [1977] The Collective Scientific Papers by P. A. Samuelsen (MIT Press Cambridge).
26. Pomeau, Y. & Manneville, P. [1980] "Intermittent transition to turbulence in dissipative dynamical systems," Comm. Math. Phys., 74, 189-193.
27. Rasmussen, S., Mosekilde, E. & Sterman, J. D. [1985] "Bifurcations and chaotic behavior in a simple model of the economic long wave," Syst. Dynam. Rev 1, 92-110.
28. Schuster, H. G. [1984] Deterministic Chaos (Physik-Verlag, Weinheim).
29. Sterman, J. D. [1989] "Modeling managerial behavior: Misperception of feedback in a dynamic decision making experiment," Management Sci., 35, 321-339.
30. Sterman, J. D. & Mosekilde, E. [1994] "Business cycles and long waves: A behavioral disequilibrium perspective," in Business Cycles: Theory and Empirical Methods (Kluwer Academic Publisher), pp. 13-51.
31. Sturis, J. & Mosekilde, E. [1988] "Bifurcation sequence in a simple model of migratory dynamics," Syst. Dynam. Rev. 4, 208-217.
32. Thomsen, J. S., Mosekilde, E. &Sterman, J. D. [1992] "Hyperchaotic phenomena in dynamic decision making," Syst. Analysis Modelling Simulation 9, 137-156.