Next: About this document
Up: No Title
Previous: Liste verwendeter Symbole
References
- BBA90
-
P. Bryant, R. Brown, and H.D.I. Abarbanel.
Lyapunov Exponents from Observed Time Series.
Phys.Rev.Lett. 65(13), September 1990.
- BCT90
-
P. Bak, K. Chen, and C. Tang.
A forest-fire model and some thoughts an turbulence.
Phys.Lett.A 147, 297, 1990.
- BD79
-
A. Bjoerck and G. Dahlquist.
Numerische Methoden.
Oldenburg Verlag, München, 2. Auflage, 1979.
- BDH90
-
Joseph L. Breeden, Friedrich Dinkelacker, and Alfred Hübler.
Noise in the Modeling and Control of Dynamical Systems.
Physical Review A 42(10), 1990.
- BE91
-
M. Braune and H. Engel.
Simulation of Autowave Propagation and Spiral Drift in Heterogeneous
Excitable Media with Cellular Automata.
Arbeitsbericht, Institut für physikalische Chemie, Berlin, Mai
1991.
- Bes84
-
D. Bestle.
Analyse nichtlinearer dynamischer Systeme mit qualitativen und
quantitativen Methoden.
Diplomarbeit, Institut B für Mechanik der Universität Stuttgart,
1984.
- BH90
-
Joseph L. Breeden and Alfred Hübler.
Reconstructing Equations of Motion from Experimental Data with
Unobserved Variables.
Phys. Rev. A 42, 5817--5826, November 1990.
- BPV84
-
Pierre Bergé, Yves Pomeau, and Christian Vidal.
Order within Chaos.
John Wiley & Sons and Hermann, New York and Paris, 1984.
- BS89
-
I.N. Bronstein and K.A. Semendjajew.
Taschenbuch der Mathematik.
Harri Deutsch, Thun und Frankfurt/Main, 24. Auflage, 1989.
- BSN85
-
A. Babloyantz, J.M. Salazar, and C. Nicolis.
Evidence of Chaotic Dynamics of Brain Activity During the Sleep
Cycle.
Phys. Lett. 111A, 152--156, 1985.
- Bun87
-
H. Bunz.
Zur Dynamik nichtlinearer angetriebener Oszillatoren.
Dissertation, Institut für theoretische Physik und Synergetik an
der Universität Stuttgart, 1987.
- CE80
-
P. Collet and J.P. Eckmann.
Iterated Maps on the Interval as Dynamical Systems.
Birkhäuser, Boston, 1980.
- CFPS86
-
J.P. Crutchfield, J.D. Farmer, N.H. Packard, and R.S. Shaw.
Chaos.
Scientific American 255, 38--49, 1986.
- CH87
-
J. Cremers and A. Hübler.
Construction of Differential Equations from Experimental Data.
Z. Naturforsch 42a, 1987.
- CHP89
-
Kenneth Chang, Alfred Hübler, and Norman Packard.
Universal Properties of the Resonance Curve of Complex Systems.
Technical Report CCSR-89-5, Center of Complex Systems Research,
University of Illinois at Urbana-Champaign, 1989.
- CKHJ90
-
K. Chang, A. Kodogeorgiou, A. Hübler, and E.A. Jackson.
General Resonance Spectroscopy.
Technical Report CCSR-90-19, Center of Complex Systems Research,
University of Illinois at Urbana-Champaign, 1990.
- CM87
-
J.P. Crutchfield and B.S. McNamara.
Equations of Motion from a Data Series.
Complex Systems 1, 417, 1987.
- Coo80
-
N.K. Cooperrider.
Nonlinear Behaviour in Rail Vehicle Dynamics, S. 173--194.
S.I.A.M. Publications, Philadelphia, 1980.
- Dow75
-
E.H. Dowell.
Aeroelasticity of Plates and Shells.
Noordhoff International Publishing, Leyden, 1975.
- Duf18
-
G. Duffing.
Erzwungene Schwingungen bei veränderlicher Eigenfrequenz und
ihre technische Bedeutung.
Vieweg, 1918.
- Dyk82
-
Milton Van Dyke (Hrsg.).
An Album of Fluid Motion.
The Parabolic Press, Stanford, California, 1982.
- Ebe89
-
Werner Eberl.
Vroni sucht das absolute Maximum.
Chaotische Nachrichten Nr. 3, 1989.
- EHML87
-
W. Eberl, A. Hübler, M. Maurer, and E. Lüscher.
Quasi-numerisches Näherungsverfahren zur Umwandlung von
gewöhnlichen Differentialgleichungen in Differenzengleichungen.
Helv. Phys. Acta 60, 1987.
- EKH87
-
W. Eberl, M. Kuchler, A. Hübler, E. Lüscher, M. Maurer, and P. Meinke.
Analytical Representation of Stroboscopic Maps of Ordinary Nonlinear
Differential Equations.
Z.Phys.B 68, 253--258, May 1987.
- EMK83
-
G. Eilenberger and H. Müller-Krumbhaar (Hrsg.).
Ferienkurs '83: Nichtlineare Dynamik in kondensierter Materie,
Jülich, 1983. KFA Jülich GmbH.
- ER85
-
J.P. Eckmann and D. Ruelle.
Ergodic Theory of Chaos and Strange Attractors.
Rev. Mod. Phys. 57, 617--56, 1985.
Addendum 57, 1115.
- ESGH92
-
W. Eberl, R. Shermer, R. Georgii, and A. Hübler.
Controlling Chaos without Feedback.
to be published , 1992.
- ESH92
-
W. Eberl, H.C. Schulz, and S. Hilgenfeldt (Hrsg.).
Das Chaos-Lexikon.
Kunst & Alltag, München, 1992.
Preprint.
- Far82
-
J.D. Farmer.
Information Dimension and the Probabilistic Structure of Chaos.
Z. Naturforsch. 37a, 1304, 1982.
- Fei83
-
M.J. Feigenbaum.
Universal Behavior in Nonlinear Systems.
Physica 7D, 16--39, 1983.
- FS87
-
J.D. Farmer and J.J Sidorowich.
Predicting Chaotic Time Series.
Phys.Rev.Lett. 59, 845--848, 1987.
- FTW83
-
Doyne Farmer, Tommasso Toffoli, and Steven Wolfram (Hrsg.).
Cellular Automata, Amsterdam, Oxford, New York, Tokyo, März
1983. North-Holland Physics Publishing.
- GEHL89
-
R. Georgii, W. Eberl, A. Hübler, and E. Lüscher.
Resonant Stimulation and Control of Nonlinear Mechanical Pendulum by
Poincaré Maps.
Helv. Phys. Acta 62, 290--293, 1989.
- Geo89
-
Robert Georgii.
Nichtlineare Resonanzen.
Diplomarbeit, Physik-Department E13 der TU München
, 1989.
- GH83
-
John Guckenheimer and Philip Holmes.
Nonlinear Oscillations, Dynamical Systems and Bifurcations of
Vector Fields.
Applied Mathematical Sciences, Vol. 42. Springer, New York, Berlin,
Heidelberg, Tokyo, 1983.
- Gle88
-
James Gleick.
Chaos -- die Ordnung des Universums.
Droemer Knaur, München, 1988.
engl. Original: Chaos -- Making a New Science.
- Hak83
-
H. Haken.
Synergetik--Eine Einführung.
Springer, Berlin Heidelberg New York Tokyo, 1983.
- Hel70
-
H Helmholtz.
Die Lehre von den Tonempfindungen.
Vieweg, 1870.
- HL89
-
A. Hübler and E. Lüscher.
Resonant Stimulation and Control of Nonlinear Oscillators.
Naturwissenschaften 76, 67--69, 1989.
- HL90
-
B.A. Huberman and E. Lumer.
Dynamics of Adaptive Systems.
IEEE Trans. Circuits Syst. 37(4), April 1990.
- Hol87
-
Arun v. Holden (Hrsg.).
Chaos.
Manchester University Press, Manchester, 1986, paperback 1987.
- HU90
-
John E. Hopcroft and Jeffrey D. Ullman.
Einführung in die Automatentheorie, Formale Sprachen und
Komplexitätstheorie.
Addison-Wesley, 1990.
Übersetzung der englischen Ausgabe von 1979: Introduction to
Automata Theory, Languages and Computation.
- Hüb87
-
Alfred Wilhelm Hübler.
Beschreibung und Steuerung nichtlinearer Systeme.
Dissertation, Physik-Department E13 der TU München
, 1987.
- Hüb89
-
A. Hübler.
Adaptive Control of Chaotic Systems.
Helv. Phys. Acta 62, 1989.
- Hüb92
-
Alfred Hübler.
Modeling and Control of Complex Systems: Paradigms and Applications.
In L. Lam (Hrsg.), Modeling Complex Phenomena, New York, 1992.
Springer Verlag.
- IB84
-
T.E. Ingerson and R.L. Buvel.
Structure in Asynchronous Cellular Automata.
Physica 10D, 59--68, 1984.
- IMS84
-
International Mathematical & Statistical Libraries, Inc., 1984.
Version 9.
- Jac88
-
A.E. Jackson.
Perspectives in Nonlinear Dynamics, Band 1.
Cambridge University Press, 1988.
- JH90
-
A.E. Jackson and A. Hübler.
Periodic Entrainment of Chaotic Logistic Map Dynamics.
Physica 44D, 407--420, 1990.
- Kan89
-
K. Kaneko.
Spatiotemporal Chaos in One- and Two-Dimensional Coupled Map
Lattices.
Physica 37D, 60--82, 1989.
- Kan90
-
K. Kaneko.
Simulating Physics with Coupled Map Lattices -- Pattern Dynamics,
Information Flow and Thermodynamics of Spatiotemporal Chaos.
In K. Kawasaki, A. Onuki, and M. Suzuki (Hrsg.), Formation,
Dynamics and Statistics of Patterns, S. 1--52. World Scientific, 1990.
- Kar86
-
Richard M. Karp.
Combinatorics, Complexity and Randomness.
Communications of the ACM 29, 98, 1986.
- Kau87
-
Thomas Kautzky.
Die Konstruktion von Differentialgleichungen aus experimentellen
Datensätzen.
Diplomarbeit, Physik-Department E13 der TU München
, München, 1987.
- Kau92
-
Thomas Kautzky.
Modellierung der Dynamik komplexer nichtlinearer Systeme.
Dissertation, Physik-Department E13 der TU München
, 1992.
- KEHL88
-
M. Kuchler, W. Eberl, A. Hübler, and E. Lüscher.
The Description of Complex Dynamical Systems by Simple Maps.
Helv. Phys. Acta 61, 232--235, 1988.
- KEHL92
-
M. Kuchler, W. Eberl, A Hübler, and E. Lüscher.
The Calculation of Simple Maps of Complex Dynamical Systems.
1992.
- KH91
-
S. Krempl and A. Hübler.
Introduction to Optimal Control Theory of Classical and Quantum
Systems.
Technical Report, Center of Complex Systems Research, University of
Illinois at Urbana-Champaign, März 1991.
- KMIL84
-
T. Klinker, W. Meyer-Ilse, and W. Lauterborn.
Period Doubling and Chaotic Behaviour in a Driven Toda Oscillator.
Phys. Lett. A Seite 371, 1984.
- Kun91
-
A. Kunert.
Private Mitteilung, 1991.
- Lie91
-
Wolfgang Liebert.
Chaos und Herzdynamik, Band 4 von Reihe Physik.
Verlag Harri Deutsch, Frankfurt am Main, 1991.
- Lin81
-
Paul S. Linsay.
Period Doubling and Chaotic Behavior in a Driven Anharmonic
Oscillator.
Phys.Rev.Lett. 47, 1349--1352, 1981.
- LKP87
-
R.W. Leven, B.-P. Koch, and B. Pompe.
Chaos in dissipativen Systemen.
Vieweg, 1987.
- LL69
-
Landau and Lifshitz.
Lehrbuch der theoretischen Physik, Band 1, Mechanik.
Akademie-Verlag, Berlin, 6. Auflage, 1969.
- LL83
-
A.J. Lichtenberg and M.A. Lieberman.
Regular and Stochastic Motion, Band 38 von Applied
Mathematical Sciences.
Springer, New York, Heidelberg, Berlin, 1983.
- Lor63
-
E.N. Lorenz.
Deterministic Nonperiodic Flow.
J.Atmos.Sci. 20, 130, 1963.
- LP88
-
W. Lauterborn and U. Parlitz.
Methods of Chaos Physics and their Application to Acoustics.
J. Acoust. Soc. Am. 84(6), 1988.
- LY75
-
T.Y. Li and J.A. Yorke.
Period Three Implies Chaos.
Am. Math. Month. 82, 985--992, 1975.
- MH90
-
M. Markus and B. Hess.
Isotropic Automata for Simulations of Excitable Media: Perodicity,
Chaos and Reorganization.
In D. Meinköhn (Hrsg.), Dissipative Structures in Transport
Processes and Combustion. Springer, 1990.
- Möl90
-
Peter Möller.
A Synergetic Model for Simulating the Activity of a Single Neuron.
Vortrag im Serneus-Seminar, 8. Februar 1990.
- Moo87
-
Francis C. Moon.
Chaotic Vibrations.
John Wiley & Sons, 1987.
- MRP89
-
Thomas P. Meyer, Fred C. Richards, and Norman H. Packard.
Learning Algorithm for Modeling Complex Spatial Dynamics.
Phys.Rev.Lett. 63, 1735--1738, October 1989.
- MWEE86
-
P. Möller, K. Wetzl, M. Eiswirth, and G. Ertl.
Kinetic Oscillations in the Catalytic CO Oxidation on Pt(100):
Computer Simulations.
J. Chem. Phys. 85(9), 1986.
- ND70
-
M. Novak and A.G. Davenport.
Aeroelastcic Instability of Prisms in Turbulent Flow.
In Proc. ASCE J. Eng. Mech. Div. EMI, Band 96, S. 17--39, 1970.
- NM79
-
A.H. Nayfeh and D.T. Mook.
Nonlinear Oscillations.
John Wiley & Sons, New York, Chichester, Brisbane, Toronto, 1979.
- OGY90
-
Edward Ott, Celso Grebogi, and James A. Yorke.
Controlling Chaos.
Technical Report, University of Maryland, College Park, MD, USA,
1989/90.
- OHW90
-
Frank Ohle, Alfred Hübler, and Michael Welge.
Adaptive Control of Chaotic Systems.
Technical Report CCSR-90-13, Center of Complex Systems Research,
University of Illinois at Urbana-Champaign, 1990.
- Paw91
-
Klaus Pawelzik.
Nichtlineare Dynamik und Hirnaktivität, Band 6 von Reihe
Physik.
Verlag Harri Deutsch, Frankfurt am Main, 1991.
- PDR88
-
A.P. Peirce, M.A. Dahleh, and H. Rabitz.
Optimal Control of Quantum--Mechanical Systems: Existence, Numerical
Approximation and Applications.
Phys. Rev. A 37, 4950--4964, 1988.
- PFTV86
-
William H. Press, Brian P. Flannery, Saul A. Teukolsky, and William T.
Vetterling.
Numerical Recipes.
Cambridge University Press, New York, New Rochelle, Melbourne,
Sydney, 1986.
- PH90
-
B. Plapp and A. Hübler.
Nonlinear Resonances and Suppression of Chaos in the Rf-Biased
Josephson Junction.
Phys.Rev.Lett. 65, 2302--2305, 1990.
- REHL88
-
B. Rückerl, W. Eberl, A. Hübler, and E. Lüscher.
Control of the Dynamics of a Waterjet.
Helv. Phys. Acta 61, 80--83, 1988.
- REL89
-
B. Rückerl, W. Eberl, and E. Lüscher.
Description of the Dynamics of Nonlinear Extended Systems by
Iterative Maps.
Helv. Phys. Acta 62, 347--350, 1989.
- RH82
-
R.W. Rollins and E.R. Hunt.
Exactly Solvable Model of a Physical System Exhibiting Universal
Chaotic Behaviour.
Phys.Rev. A 29, 3327--3334, 1982.
- RHL87
-
G. Reiser, A. Hübler, and E. Lüscher.
Algorithm for the Determination of the Resonances of Anharmonic
Damped Oscillators.
Z. f. Naturforschung 42a, 803--807, 1987.
- RJ70
-
D.F. Rutland and G.J. Jameson.
Droplet Production by the Disintegration of Rotating Liquid Jets.
Chem. Eng. Sci. 25, 1301--1317, 1970.
- RJ71
-
D.F. Rutland and G.J. Jameson.
A Non-Linear Effect in the Capillary Instability of Liquid Jets.
J.Fluid Mech. 46.2, 267--271, 1971.
- Roa72
-
P.J. Roache.
Computational Fluid Dynamics.
Hermosa Publishers, 1972.
- Rös76
-
O.E. Rössler.
An Equation for Continuous Chaos.
Phys.Lett. 57A, 397--8, 1976.
- Rüc89
-
Bernhard Rückerl.
Beschreibung der Dynamik ausgedehnter nichtlinearer Systeme durch
Iterationsabbildungen.
Diplomarbeit, Physik-Department E13 der TU München
, 1989.
- SB78
-
J. Stoer and R. Bulirsch.
Einführung in die numerische Mathematik, Band 2.
Springer, 1978.
- Sch89a
-
Christian Scholz.
Grippe - durchaus eine runde Sache --- A-synchron heißt nicht
unzeitgemäß.
Chaotische Nachrichten Nr. 1, August 1989.
- Sch89b
-
Heinz-Georg Schuster.
Deterministic Chaos.
VCH-Verlagsanstalt, Weinheim, 2. Auflage, 1989.
- Sch90a
-
Christian Scholz.
Asynchrone Simulation von Systemen mit raum-zeitlicher Dynamik und
Anwendung auf Datentransportprobleme.
Diplomarbeit, Physik-Department E13 der TU München
, 1990.
- Sch90b
-
Hans-Christoph Schulz.
Ein zellulärer Automat als Modell für die Entstehung fraktaler
Strukturen bei Erosionsvorgängen.
Diplomarbeit, Physik-Department E13 der TU München
, 1990.
- SEB90
-
Ch. Scholz, W. Eberl, K. Birken, S. Zaunseder, and E. Lüscher.
The Influence of Asynchronous Control on the Geometry of Cellular
Automaton Patterns.
Helv. Phys. Acta 63, 551--552, 1990.
- SH92
-
H.C. Schulz and S. Hilgenfeldt (Hrsg.).
25 Experimente zu Chaos und Strukturbildung.
Kunst & Alltag, München, 1992.
- SK89
-
W.-H. Steeb and A. Kunick.
Chaos in Dynamischen Systemen.
Bibliographisches Institut, Mannheim, 2. Auflage, 1989.
- SKL90
-
H.C. Schulz, T. Kautzky, and E. Lüscher.
A Model for the Pattern Formation due to Erosion.
Helv. Phys. Acta 63, 535--537, 1990.
- SRR90
-
S. Sinha, R. Ramaswamy, and J.S. Rao.
Adaptive Control in Nonlinear Systems.
Physica 43D, 118--128, 1990.
- Ste91
-
Willi-Hans Steeb.
A Handbook of Terms Used in Chaos and Quantum Chaos.
BI Wissenschaftsverlag, Mannheim, 1991.
- Swi83
-
H.L. Swinney.
Observations of Order and Chaos in Nonlinear Systems.
Physica 7D, 3--15, 1983.
- TEH90
-
V. Thurner, W. Eberl, A. Hübler, N. Packard, and E. Lüscher.
Determination of the Absolute Maximum of Polynomials by Algebraic
Bisection.
Helv. Phys. Acta 63, 549--550, 1990.
- TEH91
-
V. Thurner, W. Eberl, and A. Hübler.
Determination of the Absolute Maximum of Polynomials by Algebraic
Bisection Method.
Technical Report, Center of Complex Systems Research, University of
Illinois at Urbana-Champaign, 1991.
- TH88
-
Pablo Tamayo and Hyman Hartman.
Cellular Automata, Reaction-Diffusion Systems and the Origin of Life.
In C. Langton (Hrsg.), Artificial Life, SFI Studies in the
Sciences of Complexity, S. 105--124. Addison-Wesley, 1988.
- TM87
-
T. Toffoli and N. Margolus.
Cellular Automata Machine.
MIT Press, 1987.
- TPJ82
-
J. Testa, J. Pérez, and C. Jeffries.
Evidence for Universal Chaotic Behavior of a Driven Nonlinear
Oscillator.
Phys.Rev.Lett. 48, 714--717, 1982.
- URP74
-
A. Uppal, W.H. Ray, and A. Poore.
On the Dynamic Behaviour of Continous Stirred Tank Reactors.
Chem. Eng. Sci. 29, 967--985, 1974.
- Wan89
-
Andreas Wandelt.
Anwendung von Normalzeittransformationen zur analytischen Berechnung
von Poincaré-Abbildungen.
Diplomarbeit, Physik-Department E13 der TU München
, 1989.
- WEHL88
-
R. Wackerbauer, W. Eberl, A. Hübler, and E. Lüscher.
Analytical Representation of Stroboscopic Maps of Ordinary Nonlinear
Differential Equations.
Helv. Phys. Acta 61, 236--239, 1988.
- WEHL89
-
A. Wandelt, W. Eberl, A. Hübler, and E. Lüscher.
Transformation to Normal Time for the Calculation of Poincaré Maps
in Closed Form.
Helv. Phys. Acta 62, 339--342, 1989.
- WHMK92
-
Renate Wackerbauer, Alfred Hübler, and Gottfried Mayer-Kress.
Algebraic Calculation of Stroboscopic Maps of Ordinary, Nonlinear
Differential Equations.
to appear in Physica D , 1992.
- Win74
-
A.T. Winfree.
Rotating Chemical Reactions.
Sci.Am. 230, 82--95, June 1974.
- WKHL91
-
R. Wittmann, T. Kautzky, A. Hübler, and E. Lüscher.
A simple Experiment for the Examination of Dendritic River Systems.
Naturwissenschaften 78, 23--25, 1991.
- Wol86
-
Stephen Wolfram.
Theory and Applications of Cellular Automata.
World Scientific, 1986.
- Wor92
-
R. Worg.
Nichtlineare Dynamik: Didaktische Studien zu einem neuen
Teilbereich der Physik.
Dissertation, Ludwig-Maximilians-Universität, München, 1991/92.
- WSHL88
-
C. Wagner, W. Stelzel, A. Hübler, and E. Lüscher.
Resonante Steuerung nichtlinearer Schwinger.
Helv. Phys. Acta 61, 228--231, 1988.
- Zen92
-
Ch. Zenger.
private Mitteilung, Januar 1992.
Werner Eberl
Fri Apr 14 00:36:50 MET DST 1995