Contents Introduction P.G. Drazin and G.P. King Chapter 1. Chaos or noise? Using neural nets to look for chaos A.M. Albano, A. Passamante, T. Hediger and M.E. Farrell Power spectra of noise-driven nonlinear systems and stochastic resonance M.1I. Dykman and P.V.E. McClintock Distinguishing between low-dimensional dynamics and randomness in measured time series A. Provenzale, L.A. Smith, R. Vio and G. Murante Identification and prediction of low dimensional dynamics L.A. Smith Testing for nonlinearity in time series: the method of surrogate data J. Theiler, S. Eubank, A. Longtin, B. Galdrikian and J.D. Farmer Singular-spectrum analysis: A toolkit for short, noisy chaotic signals R. Vautard, P. Yiou and M. Ghil Chapter 2. Prediction, control and noise reduction Comparison of algorithms calculating optimal embedding parameters for delay time coordinates Th. Buzug and G. Pfister Problems in estimating dynamics from data E.J. Kostelich Controlling chaotic dynamical systems using time delay coordinates G. Nitsche and U. Dressler Controlling chaotic dynamical systems F.J. Romeiras, C. Grebogi, E. Ott and W.P. Dayawansa A noise reduction method for signals from nonlinear systems T. Sauer Chapter 3. Modelling Construction of phenomenological models from numerical scalar time series G. Gouesbet and J. Maquet Phase space reconstruction for symmetric dynamical systems G.P. King and I. Stewart Topological analysis and synthesis of chaotic time series G.B. Mindlin and R. Gilmore Dynamical signatures L. Noakes and A. Mees Extraction of dynamical equations from chaotic data G. Rowlands and J.C. Sprott Contents Introduction P.G. Drazin and G.P. King Chapter 1. Chaos or noise? Using neural nets to look for chaos A.M. Albano, A. Passamante, T. Hediger and M.E. Farrell Power spectra of noise-driven nonlinear systems and stochastic resonance M.1I. Dykman and P.V.E. McClintock Distinguishing between low-dimensional dynamics and randomness in measured time series A. Provenzale, L.A. Smith, R. Vio and G. Murante Identification and prediction of low dimensional dynamics L.A. Smith Testing for nonlinearity in time series: the method of surrogate data J. Theiler, S. Eubank, A. Longtin, B. Galdrikian and J.D. Farmer Singular-spectrum analysis: A toolkit for short, noisy chaotic signals R. Vautard, P. Yiou and M. Ghil Chapter 2. Prediction, control and noise reduction Comparison of algorithms calculating optimal embedding parameters for delay time coordinates Th. Buzug and G. Pfister Problems in estimating dynamics from data E.J. Kostelich Controlling chaotic dynamical systems using time delay coordinates G. Nitsche and U. Dressler Controlling chaotic dynamical systems F.J. Romeiras, C. Grebogi, E. Ott and W.P. Dayawansa A noise reduction method for signals from nonlinear systems T. Sauer Chapter 3. Modelling Construction of phenomenological models from numerical scalar time series G. Gouesbet and J. Maquet Phase space reconstruction for symmetric dynamical systems G.P. King and I. Stewart Topological analysis and synthesis of chaotic time series G.B. Mindlin and R. Gilmore Dynamical signatures L. Noakes and A. Mees Extraction of dynamical equations from chaotic data G. Rowlands and J.C. Sprott Contents Global unpredictability in nonlinear dynamics: capture, dispersal and the indeterminate bifurca- tions J.M.T. Thompson Chapter 4. Statistics and dynamical systems Nonlinear analysis of data sampled nonuniformly in time J.L. Breedon and N.H. Packard Analysis of noisy signals A. Rabinovitch and R. Thieberger Using cluster analysis to classify time series C.T. Shaw and and G.P. King Some comments on a bridge between nonlinear dynamicists and statisticians H. Tong Chapter 5. Topological analysis Hierarchical resolution of power spectra R. Badii, M. Finardi, G. Broggi and M.A. Sepulveda Evaluation of probabilistic and dynamical invariants from finite symbolic substrings -comparison between two approaches R. Stoop and J. Parisi Chapter 6. Spatiotemporal chaos Dynamical description of spatial disorder V.S. Afraimovich, A.B. Ezersky, M.I. Rabinovich, M.A. Shereshevsky and A.L. Zheleznyak Spatiotemporal pattern formation and chaos in passive optical systems M. Brambilla, G. Broggi and F. Prati Thermodynamic aspects of the transition to spatiotemporal chaos M. Caponeri and S. Ciliberto Invariant measure in coupled maps A. Politi and G.P. Puccioni Chapter 7. Applications to fluids Phase-space analysis of bursting behavior in Kolmogorov flow D. Armbruster, R. Heiland, E.J. Kostelich and B. Nicolaenko Low dimensional models of the wall region in a turbulent boundary layer: New results G. Berkooz, P. Holmes and J.L. Lumley Complex bi-orthogonal decomposition of a chain of coupled wakes M.P. Chauve and P. Le Gal Turbulent convection in helium gas E.S.C. Ching, L.P. Kadanoff, A. Libchaber and X.-Z. Wu Combined approaches and characterizations of experimental chaotic attractors in thermal lensing S. Meunier-Guttin-Cluzel, B. Maheu and G. Gouesbet Characterization of experimental time series from Taylor—Couette flow G. Pfister, Th. Buzug and N. Enge Applications of singular systems analysis to ‘Baroclinic chaos’ P.L. Read Contents Chapter 8. Other applications Correlation of local stretchings as a way of characterising chaotic dynamics amid noise C.D. Bertram and X. Tian A technique for measuring fractal dimensions from time series on a real-time scale A. Namajunas and A. Tamasevicius Estimation of the persistence of strain from experimental recordings from cardiac tissue H. Zhang, A.V. Holden, M. Lab and M. Moutoussis List participants List of observers List of young scientists List of lectures List of posters List of contributors