Evolution of Order and Chaos in Physics, Chemistry, and Biology

Proceedings of the International Symposium on Synergetics at Schloss Elmau, Bavaria, April 26 – May 1, 1982

Springer Series in Synergetics, Vol. 17

1982, Springer-Verlag, Berlin, ISBN 3-540-11904-3




Prof. Dr. Hermann Haken

Institut fŸr Theoretische Physik der UniversitŠt Stuttgart

D-7000 Stuttgart 80

Fed. Rep. of Germany






Part I: Introduction


H. Haken (Institut fŸr Theoretische Physik der UniversitŠt Stuttgart, D-7000 Stuttgart 80): Introductory remarks



Part II: Evolution


M. Eigen (Max-Planck-Institut fŸr biophysikalische Chemie, D-3400 Gšttingen): Ursprung und Evolution des Lebens auf molekularer Ebene



Part III: Coherence in biology


S.A. Kauffman (Dept. of Biochemistry and Biophysics, University of Pennsylvania, School of Medicine, Philadelphia, Pennsylvania 19104): The crystallization and selection of dynamical order in the evolution of metazoan gene regulation


H. Shimizu (Faculty of Pharmaceutical Sciences, University of Tokyo, Tokyo 113): The synergetics of actin-myosin in active streaming and muscle contraction



Part IV: Instabilities and pattern formation in physics, chemistry, and biology


R.E. Rosenzweig (Corporate Research, Exxon Research and Engineering Company, Linden, NJ 07036): Pattern formation in magnetic fluids


C.E. Bottani, G. Cagliati (Istituto di Ingegneria Nucleare, CESNEF-Politecnico di Milano, I-20133 Milano; Gruppo Nazionale Struttura della Materia, UR7, Consiglio Nazionale delle Ricerche): Thermoelastic instabilities in metals


C. Vidal, A. Pacault (Centre de Recherche Paul Pascal C.N.R.S., Domaine universitaire, F-33405 Talence Cedex): Spatial chemical structures, chemical waves. A review


A. Hunding (Institute for Chemistry, University of Copenhagen, DK-2200 Copenhagen): Spontaneous biological pattern formation in the three dimensional sphere. Prepatterns in Mitsosis and Cytokinesis


A. Gierer (Max-Planck-Institut fŸr Virusforschung, D-7400 TŸbingen): Generation of projections in the developing and regenerating nervous system



Part V: Order and chaos in quantum electronics and fluids


L.A. Lugiato, V. Benza (Istituto di Fisica dellÕUniversitˆ, I-Milano); L.M. Narducci (Dept. of Physics, Drexel University, Philadelphia, PA 19104): Optical bistability, self-pulsing and higher order bifurcations


M.G. Velarde (U.N.E.D.-Ciencias, E-Madrid): Benard convection and laser with saturable absorber. Oscillations and chaos


D. Meier, R. Holzner, B. Derighetti, E. Brun (Institute of Physics, University of ZŸrich, CH-8001 ZŸrich): Bistability and chaos in NMR systems


G. Careri (Istituto di Fisica, Universitˆ di Roma, I-00185 Rome): The onset of turbulence in the wake of an ion



Part VI: Order in chaos


S. Grossmann (Fachbereich Physik der Philipps-UniversitŠt, D-3550 Marburg/ Lahn): Diversity and universality. Spectral structure of discrete time evolution


M. Giglio, S. Musazzi, U. Perini (CISE S.p.A., I-20100 Milano): Onset of chaos in fluid dynamics


G. Mayer-Kress, H. Haken (Institut fŸr Theoretische Physik, UniversitŠt Stuttgart, D-7000 Stuttgart): Transition to chaos for maps with positive Schwarzian Derivative


T. Geisel, J. Nierwetberg (Institut fŸr Theoretische Physik der UniversitŠt Regensburg, D-8400 Regensburg): Scaling properties of discrete dynamical systems


H.O. Peitgen (Forschungsschwerpunkt ŅDynamische SystemeÓ, UniversitŠt Bremen, D-2800 Bremen 33): Phase transitions in the homoclinic regime of area preserving diffeomorphisms


J.P. Crutchfield, N.H. Packard (Physics Board of Studies, University of California, Santa Cruz, CA 95064): Noise scaling of symbolic dynamics entropies


J.D. Farmer (Center for Nonlinear Studies, Theoretical Division, MS B258, Los Alamos National Laboratory, Los Alamos, NM 87545): Dimension, fractal measures, and chaotic dynamics



Part VII: Chaos in quantum systems


R. Bonifacio, F. Casagrande, G. Casati (Istituto di Fisica dellÕUniversitˆ, I-20133 Milano): Cooperative and chaotic effects in a Hamiltonian Model of the free-electron laser


G. Casati (Istituto di Fisica dellÕUniversitˆ, I-20133 Milano): Chaos in quantum mechanics



Part VIII: Emergence of order or chaos in complex systems


P. Whittle (Statistical Laboratory, University of Cambridge, Cambridge): Criticality and the emergence of structure


A.J. Mandel, P.V. Russo, S. Knapp (Dept. of Psychiatry, University of California, San Diego, La Jolla, CA 92093): Strange stability in hierarchically coupled neuropsychobiological systems