Border-collision bifurcations in a dynamic management game

Computers and Operations Research

Volumn 33, Issue 2, 2006, Pages 464-478

  Laugesen, Jakob ^a   Mosekilde, E ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Bifurcation; Border collision; Chaos; Dynamic management; Production distribution chain

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTATIONAL COMPLEXITY; DECISION MAKING; INDUSTRIAL MANAGEMENT; OPERATIONS RESEARCH;

BIFURCATION; BORDER-COLLISION; DYNAMIC MANAGEMENT; PRODUCTION-DISTRIBUTION CHAIN; RESONANCE STRUCTURE;

GAME THEORY;

EID: 23044461899     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2004.06.016     Document Type: Article

References (35)

1. UNCTAD Secretariat: Commodities, actions on commodities in light of the need for change in the world commodity economy, United Nations, May 1976.
2. Gilbert CL. The post war tin agreement. An assessment. Resource policy, 1977. p. 108-17.
3. Yu.L. Maistrenko, V.L. Maistrenko, S.I. Vikul, and L.O. Chua Bifurcations of attracting cycles from time-delayed Chua's circuit International Journal of Bifurcation and Chaos 5 1995 653 671
4. T. Kapitaniak, and Yu.L. Maistrenko Multiple choise bifurcations as a source of unpredictability in dynamical systems Physics Review E 58 1998 5161 5163
5. M.I. Feigen Doubling of the oscillation period with C-bifurcations in piecewise continuous systems Prikladnaya Matematika Mekhanika 34 1970 861 869 [in Russian]
6. M.I. Feigen Forced oscillations in systems with discontinuous nonlinearities 1994 Nauka Publication Moscow [in Russian]
7. M. Szymkat, and E. Mosekilde Global bifurcation analysis of an economic long-wave model Proceedings of Second European Simulation Conference, Antwerp 1986 Simulation Councils Incorporation San Diego 139 145
8. H.E. Nusse, and J.A. Yorke Border-collision bifurcations including "Period-2 to Period-3" for piecewise smooth systems Physica D 57 1992 39 57
9. H.E. Nusse, E. Ott, and J.A. Yorke Border-collision bifurcations an explanation for observed bifurcation phenomena Physics Review E 49 1994 1073 1076
10. H.E. Nusse, and J.A. Yorke Border-collision bifurcations for piecewise-smooth one-dimensional maps International Journal of Bifurcation and Chaos 5 1995 189 207
11. M. di Bernardo, M.I. Feigen, S.J. Hogan, and M.E. Homer Local analysis of C-bifurcations in n-dimensional piecewise smooth dynamical systems Chaos Solitons and Fractals 10 1999 1881 1908
12. M. di Bernardo, C.J. Budd, and A.R. Champneys Grazing and border-collision in piecewise-smooth systems a unified analytical framework Physics Review Letter 86 2001 2553 2556
13. Zh.T. Zhusubaliyev, and E. Mosekilde Bifurcations and chaos in piecewise-smooth dynamical systems 2003 World Scientific Singapore
14. C.H. Hommes, and H.E. Nusse "Period Three to Period Two", bifurcation for piecewise linear models Journal of Economics (Zeitschrift für Nationalökonomie) 54 1991 157 169
15. C.H. Hommes, H.E. Nusse, and A. Simonovits Cycles and chaos in a socialist economy Journal of Economic Dynamics and Control 19 1995 155 179
16. C.H. Hommes A reconsideration of Hicks' non-linear trade cycle model Structural Change and Economic Dynamics 6 1995 435 459
17. M. Kopel Periodic and chaotic behaviour of a simple R&D model Ricerche Economiche 50 1996 235 265
18. I. Sushko, T. Puu, and L. Gardini The Hicksian floor-roof model for two regions linked by interregional trade Chaos Solitons and Fractals 18 2003 593 612
19. Puu T, Norin A. Cournot duopoly when the competitors operate under capacity constraints. Chaos Solitons and Fractals 2003;18:577-92.
20. W.E. Jarmain Problems in industrial dynamics 1963 MIT Press Cambridge, MA
21. Sterman JD. Instructions for running the beer distribution game. Working paper D-3679, Sloan School of Management. Cambridge, MA: MIT; 1984.
22. E. Mosekilde, and E.R. Larsen Deterministic chaos in the beer production-distribution model Systems Dynamics Review 4 1988 131 147
23. E.R. Larsen, J.D.W. Morecroft, and J.S. Thomsen Complex behaviour in a production-distribution model European Journal of Operational Research 119 1999 61 74
24. D.R. Towill Supply chain dynamics - the changed engineering challenge of the mid 1990's Proceedings of the Institution of the Mechanical Engineers 206 1992 233 245
25. J.D. Sterman Modeling managerial behavior misperceptions of feedback in a dynamic decision making experiment Management Science 35 1989 321 339
26. H.L. Davis, S.J. Hoch, and E.K. Easton Ragsdale, an anchoring and adjustment model of spousal predictions Journal of Consumer Research 13 1986 25 37
27. H.J. Einhorn, and R.M. Hogarth Ambiguity and uncertainty in probabilistic inference Psychological Review 92 1985 433 461
28. J.S. Thomsen, E. Mosekilde, and J.D. Sterman Hyperchaotic phenomena in dynamic decision making Journal of System Analysis Modulator Simulation 9 1992 137 156
29. O.V. Sosnovtseva, and E. Mosekilde Torus destruction and chaos-chaos intermittency in a commodity distribution chain International Journal of Bifurcation Chaos 7 1997 1225 1242
30. B.L. Hao Elementary symbolic dynamics and chaos in dissipative systems 1989 World Scientific Singapore
31. J.D. Sterman, and E. Mosekilde W Semmler Business cycles and long waves: a behavioral disequilibrium perspective in business cycles: theory and empirical methods 1994 Kluwer Academic Publisher Dordrecht, MA 13 51
32. A. Brandstätter, J. Swift, H.L. Swinney, and A. Wolf Low-dimensional chaos in a hydrodynamic system Physics Review Letter 51 1983 1442 1445
33. J. Stavans, F. Heslot, and A. Libchaber Fixed winding number and the quasiperiodic route to chaos in a convective fluid Physics Review Letter 55 1985 596 599
34. V.S. Anishchenko Destruction of quasi-periodic oscillations and chaos in dissipative systems Soviet Technical Physics Letter 56 1986 237 255
35. V.S. Afraimovich, and L.P. Shilnikov On invariant two-dimensional tori, their disintegration and stochasticity E.A. Leontovich-Andronova, editor. Methods of the qualitative theory of differential equations 1983 Gos. Univ. Gorkij Gor'kov [in Russian]