This collection of carefully refereed and edited papers were originally presented at the Fourth International Conference on Difference Equations held in Poznan, Poland. Contributions were from a diverse group of researchers from several countries and featured discussions on the theory of difference equations, open problems and conjectures, as well as related applications. Whether new to the area of research, or a veteran, this volume will be a valuable resource on the recent advances in the field of difference equations.

The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. These papers cover all important themes, conjectures, and open problems in the fields of discrete dynamical systems and ordinary and partial difference equations, classical and contemporary, theoretical and applied.

This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal.

The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.

Full Contributors:
R.M. Abu-Sarris, Birzeit University, Palaestine, L.J.S. Allen, Texas Tech University, USA, B. Aulbach, Universitat Augsburg, Germany, S. Castillo, Universidad del Bio-Bio, Chile, S.S. Cheng, Tsing Hua University, Taiwan, K.A. Cunningham, University of Rhode Island, USA, L.Diaz, Universidad de Oriente, Venezuela, S. Elaydi, Trinity University, Texas, USA, J. Lopez Fenner, Departmento de Matrmaticas y Estadistica, Chile, J. Feuer, St Michael's College, Colchester, USA, A Hoffmann, Technical University of IImenau, Germany, J.A. Kennedy, University of Delaware, Newark, USA, J.C. Kesinger, Texas Tech University, USA, M.R.S. Kulenovic, University of Rhode Island, USA, G. Ladas, University of Rhode Island, USA, A. Loskutov, Moscow State University, Russia, B. Marx, Technical University of IImenau, Germany, R. Medina, Universidad de Los Lagos, Chile, R. Metzger, Technical University of IImenau, Germany, R.Naulin, Universidad de Oriente, Venezuela, M. Pint, Universidad de Chile, Chile, A. Rodkina, University of the West Indies, Jamaica, S. Rybalko, Moscow State University, Russia, S. Siegmund, University of Augsburg, Germany, W.S. Sizer, Minnesota State University of Moorhead, USA, V.P.Sriridonov, Joint Institute for Nuclear Research, Russia, S. Valicenti, Unversity of Rhode Island, USA, M. Vielhaber, Universidad de la Frontera, Chile, John A. Yorke^n, University of Maryland at College Park,USA, S.Zhang, Shanghai Jaiotong University, China

Reports and expands upon topics discussed at the International Conference on [title] held in Colorado Springs, Colo., June 1989. Presents recent advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations, differential inclusions, functi

While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals. The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determinant stability, bifurcation analysis, and the detailed analysis of the center manifold theory. This edition also covers L-systems and the periodic structure of the bulbs in the Mandelbrot set as well as new applications in biology, chemistry, and physics. The principal improvements to this book are the additions of PHASER software on an accompanying downloadable resources and the Maple (TM) and Mathematica (R) code available for download online. Incorporating numerous new topics and technology not found in similar texts, Discrete Chaos, Second Edition presents a thorough, up-to-date treatment of the theory and applications of discrete dynamical systems.

The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. These papers cover all important themes, conjectures, and open problems in the fields of discrete dynamical systems and ordinary and partial difference equations, classical and contemporary, theoretical and applied.