Iteration Theory (ECIT 91)

Iteration Theory (ECIT 91)

By: J.P. Lampreia (editor), Gy Targonski (editor), J. Llibre (editor), J. Sousa Ramos (editor), C. Mira (editor)Hardback

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The main theme of the ECIT conferences is Iteration Theory, on the border line between dynamics and functional equations. The aim is to foster symbiosis between mainstream dynamics and iteration theory treated in the style of functional equations theory. The following topics are focused; turbulence and iteration, characterization of chaos, kneading theory, symbolic dynamics, bifurcation, periods of maps, topological dynamics, discrete retarded dynamical systems, cellular automata as dynamical systems, iterative roots of formal power series, iterative roots of polynomials, phantom iterative roots, iterative groups and semigroups, families of commuting functions, algebraic aspects of iteration theory and functional equations.

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Discrete dynamics and and norms of 0-1 matrices, P.Almeida and J.S.Ramos; sets of periods for Torus maps via Nielsen numbers, Ll. Alseda; asymptotic properties of the translation equation, L.Berg; iterative roots of polynomials, B.Choczewski and M.Kuczma; the sets of periods for Klein bottle maps, J.Llibre; some codimension three bifurcations occurring in maps, C.Mira; symbolic dynamics of the composition of rotations in n circles, P.Mumbru; existence and local distribution of formal power series transformations with iterative roots of given order, L.Reich; problems of turbulence theory and iteration theory, A.N.Sharkovsky and E.Yu Romanenko; chaos in terms of probability distributions of distances between trajectories, J.Smital; discrete retarded dynamical systems on the interval, W.Szlenk; a class of fractional phantom iterates, Gy Targonski; iterates of commuting functions, M.C.Zdun (Part contents).

Product Details

  • publication date: 12/01/1992
  • ISBN13: 9789810211097
  • Format: Hardback
  • Number Of Pages: 372
  • ID: 9789810211097
  • ISBN10: 9810211090

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