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.
Aija Anisimova: On the Second Order Rational Difference Equation
$x_{n+1}=\beta+\frac{1}{x_n x_{n-1}}$.- Dmitry Batenkov, Gal
Binyamini: Moment vanishing of piecewise solutions of linear ODEs.- Inese
Bula: Periodic Solutions of the Second Order Quadratic Rational Difference
Equation $x_{n+1}=\frac{\alpha}{(1+x_n)x_{n-1}}$.- Antonio
Cascales, Francisco Balibrea: Li-Yorke chaos in perturbed rational difference
equations.- Robert L. Devaney, Daniel Cuzzocreo: Simple Mandelpinski
Necklaces for $z^2 + \lambda/z^2$.- João P. Pais Almeida, Miguel Ferreira,
Bruno Oliveira, Alberto Pinto: R&D Dynamics with Asymmetric
Efficiency.- Armengol Gasull, Anna Cima, Víctor Mañosa, Francesc
Mañosas: Different approaches to the global periodicity problem.- Marina
Gonchenko, Amadeu Delsham, Sergey Gonchenko: On Bifurcations of Homoclinic
Tangencies in Area-Preserving Maps on Non-Orientable Manifolds.- Goran
Hognas: A compact invariant set for the Ricker competition model.- Goran
Hognas: On a stochastic Ricker competition model.- José Martins, Nilanjan
Banik, Alberto Pinto: A repeated strategy for dumping.- Marko
Kostic: Hypercyclic and Topologically Mixing Properties of Certain Classes of
Abstract Time-Fractional Equations.- Jaume Llibre, Juan Luis García
Guirao: Periods of homeomorphisms on closed surfaces.- Joao Lopes
Dias, Gianluigi Del Magno, Pedro Duarte, Jose Pedro Gaivao, Diogo
Pinheiro: Polygonal billiards with a contractive reflection law: a review of
some hyperbolic properties.- Hideaki Matsunaga: Asymptotic representation of
solutions of linear autonomous difference equations.- Rafael
Ortega: Translation arcs and stability in two dimensions.- Pedro J.
Miana: Integrated exponential functions, the Weyl fractional calculus and the
Laplace transform.- Marc Rogalski, Guy Bastien: A QRT-system of two order one
homographic difference equations: conjugation to rotations, periods of
periodic solutions, sensitiveness to initial conditions.- Sanja Zivanovic
Gonzalez, Lev Kapitanski: Continuous Limit in Dynamics with
Choice.- Guillermo Sienra, Patricia Dominguez: Some Pinching deformations of
the Fatou function.- Jakub Sotola: Answers to some problems on self-similar
sets and the open set condition.- Yosef Yomdin, Dmitry Batenkov: Taylor
Domination, Difference Equations, and Bautin Ideals.- Víctor Mañosa, Guy
Bastien, Marc Rogalski: On the set of periods of the $2$-periodic Lyness'
Equation.
