This book contains the proceedings of the December 1995 D yn a m ica l S y stem s C o n fe re n ce held in Groningen, in honour of Johann Bernoulli, and dealing with the following topics: (i) Symmetries in dynamical systems (ii) KAM theory and other perturbation theories (iii) Infinite dimensional systems (iv) Time series analysis (v) Numerical continuation and bifurcation analysis. The book contains papers both reviewing the state of art in Topics (i)-(v) and dealing with recent results of

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... ent research in these topics. The first 8 papers (pp. 1-170) belong to Topic (i). In the first one Sym-plecticity, reversibility and elliptic operators, pp. 1-20, by T. J. Bridges, the concepts o f symplecticity and reversibility are generalised and then used in analysis of some gradient elliptic operators on Mn. In the paper The rolling disc, pp. 21-60, by R. Cushman, J. Hermans and D. Kemppainen, a homogeneous disc, which rolls without slipping on a horizontal plane under the vertical gravitational force field, is considered. Due to some symmetries, the problem is reduced to a four dimensional dynamical system. A rigorous qualitative description o f the dynamics of this system is provided (both periodic and non-periodic orbits are described). Finally the motion of the