Overview

World Scientific series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the mathematical analysis that has been applied or potentially applicable to the solutions of scientific, engineering, and social problems. For the past twenty five years, there has been an explosion of interest in the study of nonlinear dynamical systems. Mathematical techniques developed during this period have been applied to important nonlinear problems ranging from physics and chemistry to ecology and economics. All these developments have made dynamical systems theory an important and attractive branch of mathematics to scientists in many disciplines. This rich mathematical subject has been partially represented in this collection of 45 papers by some of the leading researchers in the area. This volume contains 45 state-of-art articles on the mathematical theory of dynamical systems by leading researchers. It is hoped that this collection will lead new direction in this field.Contributors: B Abraham-Shrauner, V Afraimovich, N U Ahmed, B Aulbach, E J Avila-Vales, F Battelli, J M Blazquez, L Block, T A Burton, R S Cantrell, C Y Chan, P Collet, R Cushman, M Denker, F N Diacu, Y H Ding, N S A El-Sharif, J E Fornaess, M Frankel, R Galeeva, A Galves, V Gershkovich, M Girardi, L Gotusso, J Graczyk, Y Hino, I Hoveijn, V Hutson, P B Kahn, J Kato, J Keesling, S Keras, V Kolmanovskii, N V Minh, V Mioc, K Mischaikow, M Misiurewicz, J W Mooney, M E Muldoon, S Murakami, M Muraskin, A D Myshkis, F Neuman, J C Newby, Y Nishiura, Z Nitecki, M Ohta, G Osipenko, N Ozalp, M Pollicott, Min Qu, Donal O-Regan, E Romanenko, V Roytburd, L Shaikhet, J Shidawara, N Sibony, W-H Steeb, C Stoica, G Swiatek, T Takaishi, N D Thai Son, R Triggiani, A E Tuma, E H Twizell, M Urbanski; T D Van, A Vanderbauwhede, A Veneziani, G Vickers, X Xiang, T Young, Y Zarmi.Contents: Lie Symmetries, Hidden Symmetries and Time-Dependent Invariants (B Abraham-Shrauner) Generalization of a Theorem of Malta and Palis (V Afraimovich & T Young) Asymptotic Distribution of Entrance Times for Expanding Maps of the Interval (P Collet & A Galves) Conformal Measures and S -Unimodal Maps (M Denker et al.) Holomorphic Symplectomorphisms in C2 (J E Fornaess & N Sibony) On Simplest Engel Structures on 4-Manifolds (V Gershkovich) Polynomial-Like Mappings Induced by Real Polynomials (J Graczyk & G (wiatek) General Method of Lyapunov Functionals Construction for Stability Investigation of Stochastic Difference Equations (V Kolmanovskii & L Shaikhet) Continuity of Entropy Revisited (M Misiurewicz) Infinitesimal Rigidity of Group Actions with Hyperbolic Generators (M Pollicott) and other papersReadership: Researchers in applied mathematics and mathematical physicists.

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