Here the sources are listed which are cited on the pages before. New cites will be added to this list when new topics will be added to the glossary.

monographies

[Abarbanel96] H. D. I. Abarbanel: "Analysis of Observed Chaotic Data", Springer-Verlag Telos (1996)

[Doerner93] R. Doerner: "Die Vorhersagbarkeit von deterministisch-chaotischen Bewegungen", Verlag Harri Deutsch 1993

[Duffing18] G. Duffing: "Erzwungene Schwingungen bei veränderlicher Eigenfrequenz", Vieweg Braunschweig (1918)

[Goldstein83] H. Goldstein: "Klassische Mechanik", Akademische Verlagsgesellschaft Wiesbaden 1983

[Guckenheimer83] J. Guckenheimer, P.Holmes: "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields", Springer 1983

[Hübinger93] B. Hübinger: "Die Steuerung deterministisch-chaotischer Bewegungen", Verlag Harri Deutsch 1993

[Leiber96] Th. Leiber: "Kosmos, Kausalität und Chaos", Reihe Spektrum Philosophie Bd.1, Ergon-Verlag 1996

[Leven89] R. W. Leven, B.-P. Koch, B. Pompe: "Chaos in dissipativen Systemen", Akademie-Verlag Berlin 1989

[Lichtenberg83] A. J. Lichtenberg, M. A. Lieberman: "Regular and Stochastic Motion", Springer-Verlag 1983

[Madan93] R. N. Madan (ed.): "Chua's Circuit: A Paradigm for Chaos", World Scientific, Singapore, 1993

[Mandelbrot82] B. B. Mandelbrot: "The Fractal Geometry of Nature", W.H. Freeman and Company, New York 1982, bzw. B. B. Mandelbrot: "Die fraktale Geometrie der Natur", Birkhäuser 1987

[Ott93] E. Ott: "Chaos in Dynamical Systems", Cambridge 1993

[Peitgen86] H.-O. Peitgen, P. H. Richter: "The Beauty of Fractals", Springer-Verlag 1986

[Ruelle78] D. Ruelle: "Thermodynamic Formalism", Addison-Wesley 1978

[Schuster88] H. G. Schuster: "Deterministic Chaos. An Introduction", VCH Weinheim 1988, bzw. "Deterministisches Chaos. Eine Einführung", Wiley-VCH.

[Schuster99] H. G. Schuster (ed.): "Handbook of Chaos Control", Wiley-VCH 1999

[Shannon49] C. E. Shannon, W. Weaver: "The Mathematical Theory of Information", University of Illinois Press 1949

[Sparrow82] C. Sparrow: "The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors", Springer 1982

articles

[Abarbanel90] H. D. I. Abarbanel, R. Brown and J. B. Kadtke: "Nonlinear Prediction for Time Series with Broadband Fourier Spectra", Phys. Rev. A 41, 1782-1807 (1990)

[Abarbanel91] H. D. I. Abarbanel, R. Brown, M. B. Kennel: "Lyapunov Exponents in Chaotic Systems: their Importance and their Evaluation Using Observed Data", Int. J. Mod. Phys. B 5, 1347-1375 (1991) 

[Abarbanel91b] H. D. I. Abarbanel, R. Brown, M. B. Kennel: "Variation of Lyapunov Exponents on a Strange Attractor", J. Nonlinear Sci. 1, 175-199 (1991) 

[Alfsen85] Knut H. Alfsen, and Jan Froyland: "Systematics of the Lorenz Model at Sigma=10", Phys. Scr. 31, 15-20 (1985)

[Auerbach87] D. Auerbach, P. Cvitanovic, J.-P. Eckmann, G. Gunaratne and I. Procaccia: "Exploring chaotic motion through periodic orbits", Phys. Rev. Lett 58, 2387-2389 (1987)

[Auerbach87a] D. Auerbach, B. O'Shaugnessy and I. Procaccia: "Scaling Structure of Strange Attractors", Phys. Rev. A 37, 2234-2236 (1987)

[Broggi90] G. Broggi, R. Badii and M. Finardi: "Hierarchical Approach to Modelling of Nonlinear Flows: Application to Lorenz-Like Systems", Frühjahrstagung der S. P. G. 63, 817-818 (1990)

[Broomhead86] D. S. Broomhead and G. P. King: "Extracting Qualitative Dynamics from Experimental Data", Physica D 20, 217-236 (1986)

[Brown91] R. Brown, P. Bryant and H. D. I. Abarbanel: "Computing the Lyapunov Spectrum of a Dynamical System from an Observed Time Series", Phys. Rev. A 43, 2787-2806 (1991)

[Cvitanovic88] P. Cvitanovic: "Invariant Measurement of Strange Sets in Terms of Cycles", Phys. Rev. Lett. 61, 2729-2732 (1988)

[Doerner91] R. Doerner, B. Huebinger, W. Martienssen, S. Grossmann, and S. Thomae: "Predictability Portraits for Chaotic Motions", Chaos, Solitons & Fractals 1, 553-571 (1991)

[Doerner94] R. Doerner, B. Hübinger, H. Heng, and W. Martienssen: "Approaching nonlinear dynamics by studying the motion of a pendulum. {II}. Analyzing chaotic motion", Int. J. of Bifurcation and Chaos 4, 761-771 (1994)

[Doerner94b] R. Doerner, B. Hübinger, and W. Martienssen: "Advanced chaos forecasting", Phys. Rev. E. 50, Dez 15 (1994)

[Doerner95] R. Doerner, B. Hübinger, and W. Martienssen: "Adaptive orbit correction in chaos control", Int. J. of Bifurcation and Chaos 5, 1175-1179 (1995)

[Doerner99] R. H. Doerner: "Predictability and Local Control of Low-dimensional chaos", Handbook of Chaos Control (ed.: H.G. Schuster, Wiley-VCH) , 615-638 (1999)

[Doerner99b] R. Doerner, B.Hübinger, W. Martienssen, S. Grossmann, and S. Thomae: "Stable manifolds and predictability of dynamical systems", Chaos Solitons Fractals 10, 1759-1782 (1999)

[Dressler95] U. Dressler, T. Ritz, A. Schenck zu Schweinsberg, R. Doerner, B. Hübinger, and W. Martienssen: "Tracking unstable periodic orbits in a bronze ribbon experiment", Phys. Rev. E 51, 1845-1848 (1995)

[Epstein83] H. R. Epstein: "Oscillations and chaos in chemical systems", Physica D 7, 47 (1983)

[Epstein83b] I. Epstein, K. Kustin, P. De Kepper, M. Orban: "Oscillating Chemical Reactions", Sci. Am. 248, No.3 (1983), bzw. "Oszillierende chemische Reaktionen", Spektr. d. Wissenschaft, Mai 1983.

[Farmer87] J. D. Farmer and J. J. Sidorovic: "Predicting Chaotic Time Series", Phys. Rev. Lett. 59, 845 (1987)

[Feigenbaum78] M. J. Feigenbaum: "Quantitative universality for a class of nonlinear transformations", J. Stat. Phys. 21, 669 (1978)

[Feit78] S. D. Feit: "Characteristic exponents and strange attractors", Commun. Math. Phys. 61, 249-260 (1978)

[Franceschini81] V. Franceschini: "Stable and unstable manifolds of the Henon mapping", J. Stat. Phys. 25, 757 (1981)

[Franceschini93] V. Franceschini, C. Giberti. and Z. Zheng: "Characterization of the Lorenz Attractor by Unstable Periodic Orbits", Nonlinearity 6, 251-258 (1993)

[Frank89] G. W. Frank, T. Lookmann and M. A. H. Nerenberg: "Recovering the Attractor: a Review of Chaotic Time-Series Analysis", Can. J. Phys. 68, 711-718 (1989)

[Froyland84] J. Froyland and K. H. Alfsen: "Lyapunov-Exponent Spectra for the Lorenz Model", Phys. Rev. A 29, 2928-2931 (1984)

[Grassberger83] P. Grassberger: "Generalized Dimensions of Strange Attractors", Phys. Lett. 97A, 227 (1983)

[Grassberger83b] P. Grassberger and I. Procaccia: "Measuring the strangeness of strange attractors", Physica 9D, 189-208 (1983)

[Grassberger89] P. Grassberger, H. Kantz and U. Moenig: "On the Symbolic Dynamics of the Henon Map", J. Phys. A 22, 5217-5230 (1989)

[Grossmann77] S. Grossmann and S. Thomae: "Invariant distributions and stationary correlation functions of one-dimensional discrete processes", Z. Naturforsch. 32a, 1353 (1977)

[Gunaratne87] G. H. Gunaratne and I. Procaccia: "Organization of Chaos", Phys. Rev. Lett. 59, 1377-1380 (1987)

[Hammel85] S. Hammel, C. K. R. T. Jones and J. Maloney: "Global Dynamical Behavior of the Optical Field in a Ring Cavity", J. Opt. Soc. Am. B 2, 552 (1985)

[Heng94] H. Heng, R. Doerner, B. Hübinger and W. Martienssen: "Approaching nonlinear dynamics by studying the motion of a pendulum. {I}. Observing trajectories in state space", Int. J. of Bifurcation and Chaos 4, 751-760 (1994)

[Henon69] M. Henon, Q. Appl. Math. 27, 291 (1969)

[Henon76] M. Henon: "A two-dimensional mapping with a strange attractor", Commun. Math. Phys. 50, 69-77 (1976)

[Henon82] M. Henon: "On the numerical computation of Poincare maps", Physica D 5, 412-414 (1982)

[Hübinger93a] B. Hübinger, R. Doerner, and W. Martienssen: "Local Control of Chaotic Motion", Z. Phys. B 90, 103-106 (1993)

[Hübinger94] B. Hübinger, R. Doerner, H. Heng, and W. Martienssen: "Approaching nonlinear dynamics by studying the motion of a pendulum. {III}. Predictability and control of chaotic motion", Int. J. of Bifurcation and Chaos 4 , 773-784 (1994)

[Hübinger94a] B. Hübinger, R. Doerner, W. Martienssen, M. Herdering, R. Pitka, and U. Dressler: "Controlling Chaos in Experiments with Large Effective Lyapunov Exponents", Phys. Rev. E 50, 932 (1994)

[Jackson85] E. Atlee Jackson: "The Lorenz System: I. The Global Structure of its Stable Manifolds", Phys. Scr. 32, 469-475 (1985)

[Jackson85b] E. Atlee Jackson: "The Lorenz System: II. The Homoclinic Convolution of the Stable Manifolds", Phys. Scr. 32 , 476-481 (1985)

[Kaplan79] J. Kaplan and J. Yorke in H. O. Peitgen and H. O. Walther (ed.): "Functional Differential Equations and Approximations of Fixed Points", Springr (1979)

[Kennedy92] M. P. Kenney: "Robust OP Amp Realization of Chua's Circuit", Frequenz 46, 66-80 (1992)

[Lathrop89] D. P. Lathrop and E. J. Kostelich: "Characterization of an Experimental Strange Attractor by Periodic Orbits", Phys. Rev. A 40, 4028-4031 (1989)

[Leonow87] G. A. Leonov, A. I. Bunin and N. Koksch: "Attraktorlokalisierung des Lorenz-Systems", Z. Angew. Math. Mech. 67, 649-656 (1987)

[Liebert89] W. Liebert and H. G. Schuster: "Proper Choice of the Time Delay for the Analysis of Chaotic Time Series", Phys. Lett. A 142, 107-111 (1989)

[Lorenz63] E. N. Lorenz: "Deterministic nonperiodic flow", J. Athmosph. Sc. 20, 130-141 (1963)

[Mackey77] M. C. Mackey and L. Glass: "Oscillation and chaos in physiological control systems", Science 197, 287-289, (1977)

[Morioka78] N. Morioka, and T. Shimizu: "Transition Between Turbulent and Periodic States in the Lorenz Model", Phys. Lett. A 66, 447-449 (1978)

[Ott90] E. Ott, C. Grebogi, J. A. Yorke: "Controlling Chaos", Phys. Rev. Lett. 64, 1196 (1990).

[Rabinovich79] M. I. Rabinovich and A. L. Fabrikant: "Stochastic self-modulation of waves in nonequilibrium media", Sov. Phys. JETP 50, 311 (1979)

[Ritz97] T. Ritz, A. Schenk zu Schweinsberg, U. Dressler, R. Doerner, B. Hübinger and W. Martienssen: "Chaos control with adjustable control times", Chaos Solitons Fractals 8, 1559-1576 (1997)

[Roessler76] O. E. Rössler:  "An equation for continuous chaos", Phys. Lett. 57A, 397 (1976)

[Roux81] J.-C. Roux, A. Rossi, S. Bachelart and C.Vidal: "Experimental observations of complex dynamics in a chemical reaction", Physica D 2, 395 (1981)

[Schwartz92] I. B. Schwartz and I. Triandaf: "Tracking Unstable Orbits in Experiments", Phys. Rev. A 46, 7439-7444 (1992)

[Schweinsberg97] A. Schenk zu Schweinsberg, T. Ritz, U. Dressler, B. Hübinger, R. Doerner and W. Martienssen: "Quasicontinuous control of a bronze ribbon experiment using time-delay coordinates", Phys. Rev. E 55, 2145-2158 (1997)

[Shimizu78] T. Shimizu and N. Morioka: "Chaos and Limit Cycles in the Lorenz Model", Phys. Lett. A 66, 182-184 (1978)

[Shimizu79] T. Shimizu: "Analytic Form of the Simplest Limit Cycle in the Lorenz Model", Physica A 97, 383-398 (1979)

[Spreuer93] H. Spreuer, and E. Adams: "On the Existence and the Verified Determination of Homoclinic and Heteroclinic Orbits of the Origin for the Lorenz Equations", Computing Suppl. 9, 233-246 (1993)

[Takens80] F. Takens: "Detecting Strange Attractors in Turbulence", in Lecture Notes in Mathematics 898, 366-381 (1980)

[Tel82] T. Tel: "On the Construction of Stable and Unstable Manifolds of Two-Dimensional Maps.", Zeitschr. Phys. B 49, 157 (1982)