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9. References



[FFP93] G. Feichtinger, Ch. V. Forst and C. Piccardi (1993), A nonlinear dynamical model for the dynastic cycle, Forschungsbericht 165, Institute for Econometrics, Operations Research and Systems Theory, Technical University Vienna.
[GuHo86] J. Guckenheimer, and P.Holmes (1986), Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer Verlag, New York, NY, USA.
[HaPo91] A. Hastings, and T.Powell (1991), Chaos in a three-species food-chain, Ecology, 72(3), 896-903.
[Hol65] C.S. Holling (1965), The functional response of predators to prey density and its role in mimicry and population regulation, Mem. Entomol. Soc. Can., 45, 5-60.
[Khi93] A.I. Khibnik, Yu.A. Kuznetsov, V.V.Levitin, and E.V. Nikolaev (1993), Continuation techniques and interactiv software for bifurcation analysis of ODEs and iterated maps, Physica D, 62, 360-370.
[May73] R.M. May (1973), Stability and Complexity in Model Ecosystems, Princeton University Press, Princeton, NJ, USA.
[MuRi91] S. Muratori, and S. Rinaldi (1991), A separation condition for the existence of limit cycles in slow-fast systems, Appl. Math. Modelling, 15, 312-318.
[Ush89] D. Usher (1989), The dynastic cycle and the stationary state, Am. Econ. Rev., 79, 1031-1044.
[Wig90] S. Wiggins (1990), Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, NY, USA.


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Last updated on June 13, 1997 by Helmut Doleisch (helmut@cg.tuwien.ac.at)