Difference Equations, Discrete Dynamical Systems and Applications

1. On the Second Order Rational Difference Equation x_{n+1}=beta +frac{1}{x_n x_{n-1}}




x

n
+
1


=
?
+

1


x
n


x

n
-
1









Aija Anisimova

2. Moment Vanishing of Piecewise Solutions of Linear ODEs
Dmitry Batenkov, Gal Binyamini

3. Periodic Solutions of the Second Order Quadratic Rational Difference Equation x_{n+1}=frac{alpha }{(1+x_n)x_{n-1}}




x

n
+
1


=

?


(
1
+

x
n

)


x

n
-
1

Inese Bula

4. Li–Yorke Chaos in Perturbed Rational Difference Equations
Francisco Balibrea, Antonio Cascales

5. Simple Mandelpinski Necklaces for z^2 + lambda /z^2




z
2

+
?
/

z
2






Daniel Cuzzocreo, Robert L. Devaney

6. R&D Dynamics with Asymmetric Efficiency
M. Ferreira, J. P. Almeida, B. M. P. M. Oliveira, Alberto A. Pinto

7. Different Approaches to the Global Periodicity Problem
Anna Cima, Armengol Gasull, Víctor Mañosa, Francesc Mañosas

8. On Bifurcations of Homoclinic Tangencies in Area-Preserving Maps on Non-orientable Manifolds
Amadeu Delshams, Marina Gonchenko, Sergey Gonchenko

9. A Compact Invariant Set for the Ricker Competition Model
Göran Högnäs

10. On a Stochastic Ricker Competition Model
Göran Högnäs

11. A Repeated Strategy for Dumping
J. Martins, N. Banik, Alberto A. Pinto

12. Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations
Marko Kosti?

13. Periods of Homeomorphisms on Closed Surfaces
Juan Luis García Guirao, Jaume Llibre

14. 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

15. Asymptotic Representation of Solutions of Linear Autonomous Difference Equations
Hideaki Matsunaga

16. Translation Arcs and Stability in Two Dimensions
Rafael Ortega

17. Integrated Exponential Functions, the Weyl Fractional Calculus and the Laplace Transform
Pedro J. Miana

18. 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

19. Continuous Limit in Dynamics with Choice
Lev Kapitanski, Sanja Živanovi? Gonzalez

20. Answers to Some Problems on Self-similar Sets and the Open Set Condition
Jakub Šotola

21. Taylor Domination, Difference Equations, and Bautin Ideals
Dmitry Batenkov, Yosef Yomdin

22. On the Set of Periods of the 2-Periodic Lyness’ Equation
Guy Bastien, Víctor Mañosa, Marc Rogalski

Keywords: Mathematics, Difference and Functional Equations, Discrete Mathematics, Complex Systems, Statistical Physics and Dynamical Systems