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Difference Equations, Discrete Dynamical Systems and Applications : ICDEA, Barcelona, Spain, July 2012

✍ Scribed by Alsedà i Soler, Lluís; Cushing, Jim M.; Elaydi, Saber; Pinto, Alberto A

Year
2016
Tongue
English
Leaves
336
Series
Springer Proceedings in Mathematics & Statistics 180
Category
Library
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✦ Synopsis

These proceedings of the 18th International Conference on Difference Equations and Applications cover a number of different aspects of difference equations and discrete dynamical systems, as well as the interplay between difference equations and dynamical systems. The conference was organized by the Department of Mathematics at the Universitat Autònoma de Barcelona (UAB) under the auspices of the International Society of Difference Equations (ISDE) and held in Barcelona (Catalonia, Spain) in July 2012. Its purpose was to bring together experts and novices in these fields to discuss the latest developments.

The book gathers contributions in the field of combinatorial and topological dynamics, complex dynamics, applications of difference equations to biology, chaotic linear dynamics, economic dynamics and control and asymptotic behavior, and periodicity of difference equations. As such it is of interest to researchers and scientists engaged in the theory and applications of difference equations and discrete dynamical systems.



✦ Table of Contents

Front Matter ....Pages i-xii
On the Second Order Rational Difference Equation (x_{n+1}=\beta +\frac{1}{x_n x_{n-1}}) (Aija Anisimova)....Pages 1-14
Moment Vanishing of Piecewise Solutions of Linear ODEs (Dmitry Batenkov, Gal Binyamini)....Pages 15-28
Periodic Solutions of the Second Order Quadratic Rational Difference Equation (x_{n+1}=\frac{\alpha }{(1+x_n)x_{n-1}} ) (Inese Bula)....Pages 29-47
Li–Yorke Chaos in Perturbed Rational Difference Equations (Francisco Balibrea, Antonio Cascales)....Pages 49-61
Simple Mandelpinski Necklaces for (z^2 + \lambda /z^2) (Daniel Cuzzocreo, Robert L. Devaney)....Pages 63-72
R&D Dynamics with Asymmetric Efficiency (M. Ferreira, J. P. Almeida, B. M. P. M. Oliveira, Alberto A. Pinto)....Pages 73-83
Different Approaches to the Global Periodicity Problem (Anna Cima, Armengol Gasull, Víctor Mañosa, Francesc Mañosas)....Pages 85-106
On Bifurcations of Homoclinic Tangencies in Area-Preserving Maps on Non-orientable Manifolds (Amadeu Delshams, Marina Gonchenko, Sergey Gonchenko)....Pages 107-125
A Compact Invariant Set for the Ricker Competition Model (Göran Högnäs)....Pages 127-134
On a Stochastic Ricker Competition Model (Göran Högnäs)....Pages 135-144
A Repeated Strategy for Dumping (J. Martins, N. Banik, Alberto A. Pinto)....Pages 145-153
Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations (Marko Kostić)....Pages 155-170
Periods of Homeomorphisms on Closed Surfaces (Juan Luis García Guirao, Jaume Llibre)....Pages 171-178
Polygonal Billiards with Strongly Contractive Reflection Laws: A Review of Some Hyperbolic Properties (Gianluigi Del Magno, João Lopes Dias, Pedro Duarte, José Pedro Gaivão, Diogo Pinheiro)....Pages 179-190
Asymptotic Representation of Solutions of Linear Autonomous Difference Equations (Hideaki Matsunaga)....Pages 191-199
Translation Arcs and Stability in Two Dimensions (Rafael Ortega)....Pages 201-221
Integrated Exponential Functions, the Weyl Fractional Calculus and the Laplace Transform (Pedro J. Miana)....Pages 223-236
A QRT-System of Two Order One Homographic Difference Equations: Conjugation to Rotations, Periods of Periodic Solutions, Sensitiveness to Initial Conditions (Guy Bastien, Marc Rogalski)....Pages 237-265
Continuous Limit in Dynamics with Choice (Lev Kapitanski, Sanja Živanović Gonzalez)....Pages 267-296
Answers to Some Problems on Self-similar Sets and the Open Set Condition (Jakub Šotola)....Pages 297-301
Taylor Domination, Difference Equations, and Bautin Ideals (Dmitry Batenkov, Yosef Yomdin)....Pages 303-319
On the Set of Periods of the 2-Periodic Lyness’ Equation (Guy Bastien, Víctor Mañosa, Marc Rogalski)....Pages 321-335

✦ Subjects

Difference equations;Functional equations;System theory;Computer science -- Mathematics;Mathematics

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