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Thirty Years after Sharkovskiĭ's Theorem: New Perspectives cover

These proceedings contain a collection of papers on Combinatorial Dynamics, from the lectures that took place during the international symposium, Thirty Years after Sharkovskiĭ's Theorem: New Perspectives, which was held at La Manga del Mar Menor, Murcia, Spain, from June 13 to June 18, 1994.

Since Professor A N Sharkovskiĭ's landmark paper on the coexistence of periods for interval maps, several lines of research have been developed, opening applications of models to help understand a number of phenomena from a wide variety of fields, such as biology, economics, physics, etc. The meeting served to summarize the progress made since Professor Sharkovskiĭ's discovery, and to explore new directions.


Contents:
  • Coexistence of Cycles of a Continuous Map of the Line into Itself (A N Sharkovskiĭ)
  • Thirty Years After Sharkovskiĭ's Theorem (M Misiurewicz)
  • Dry Turbulence and Period-Adding Phenomena from a 1-D Map with Time Delay (A N Sharkovsky et al.)
  • Open Problems Session (M Chas & S Silberger)
  • Toward a Theory of Forcing on Maps of Trees (S Baldwin)
  • Self-Similarity Maps for the Set of Unimodal Cycles (C Bernhardt)
  • Zero Entropy Permutations (L BLock et al.)
  • Combinatorics of the Kneading Map (H Bruin)
  • Simple and Complex Dynamics for One-Dimensional Manifold Maps (V Fedorenko)
  • Periods for Maps of the Figure-Eight Space (C Gillot & J Llibre)
  • Periodic Points of C1 Maps and the Asymptotic Lefschetz Number (J Guaschi & J Llibre)
  • Maps with Random Perturbations are Generically Not Chaotic (K Janková & J Smítal)
  • Order and Chaos for a Class of Piecewise Linear Maps (V J López)
  • and other papers

Readership: Nonlinear scientists.