Titlebook: Nonlinear Structures in Physical Systems; Pattern Formation, C Lui Lam,Hedley C. Morris Conference proceedings 1990 Springer-Verlag New Yor

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Sudden Jumps in the Logistic Map with Periodic Modulation: Theory and Experimentiode as the nonlinear element, driven with a superposition of sinusoidal and square-wave signals of amplitudes λ and μ, respectively. The experiments confirm, on a qualitative level, our theoretical predictions.

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Pattern Formation in Electrodeposits dendrites, and structure transitions in a single experimental run are found. Results from computer models, the Nittmann-Stanley model and a biased random walk model constructed by us, are presented. They compared well with some of the experimental results. Open problems are pointed out and discussed.

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Patterns in Directional Solidificationing state. Furthermore we show that there are two types of mixed mode solutions and discuss the nature of the bifurcation from the planar to the cellular state and from the mixed modes to the period doubled state.

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Stability Analysis of Diffusion-Controlled Growth: Onset of Instabilities and Breakdown of the Lineaear regime breaks down when the amplitude and the wavelength of the perturbations are approximately equal. Assuming that noisy (DLA-type) growth occurs when no linear regime exists at all, a morphological phase diagram is drawn for viscous fingering.

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Random and Chaotic Time Series Analysis: Minimum Phase-Volume Deconvolution deconvolution, is proposed to estimate the corresponding models from time series data. In the instructive example provided by the one-sided Bernoulli shift the procedure leads to the symbolic dynamical representation of the original process.

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