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VI. References
M.J. Feigenbaum, Quantitative universality for a class of nonlinear transformations, J.Stat.Phys. 19, 1978, 25–52
T. Furumochi, Existence of periodic solutions of one-dimensional differential-delay equations, Tôhoku Math.J. 30, 1978, 13–35
T.Y. Li-J.A. Yorke, Period three implies chaos, Am.Math.Monthly 82, 1975, 985–992
R.D. Nussbaum, Periodic solutions of nonlinear autonomous functional differential equations, in "Functional Differential Equations and Approximation of Fixed Points", Springer Lecture Notes in Math. 730, 1979, 283–326
R.D. Nussbaum, Uniqueness and nonuniqueness for periodic solutions of x′(t)=−g(x(t−1)), J.Diff.Eq. 34, 1979, 25–54
R.D. Nussbaum-H.-O. Peitgen, Spurious and special periodic solutions of \(\dot x\)(t)=−λf(x(t−1)), to appear
H. Peters, Comportement chaotique d'une équation différentielle retardée, C.R.Acad.Sci. Paris 290, 1980, 1119–1122
H.W. Siegberg, PhD-thesis, Bremen 1981
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Peters, H. (1981). Change of structure and chaos for solutions of \(\dot x\)(t) = −f(x(t−1)). In: Allgower, E.L., Glashoff, K., Peitgen, HO. (eds) Numerical Solution of Nonlinear Equations. Lecture Notes in Mathematics, vol 878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090687
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DOI: https://doi.org/10.1007/BFb0090687
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