This book presents contributions related to new research results presented at the 27th International Conference on Difference Equations and Applications, ICDEA 2022, that was held at CentraleSupélec, Université Paris-Saclay, France, under the auspices of the International Society of Difference Equations (ISDE), July 1822, 2022. The book aims not only to disseminate these results but to foster further advances in the fields of difference equations and discrete dynamical systems. Also included are applications to economic growth modeling, population dynamics, epidemic modeling, game theory, control systems, and network analysis. The target audience for the book includes Ph.D. students, researchers, educators, and practitioners in these fields.
Part I General Theory of Difference Equations, A. Linero Bas and Daniel
N. Roldan, Families of 6-cycles of third order.- Inese Bula and Agnese Sile,
About a System of Piecewise Linear Difference Equations with Many Periodic
Solutions.- Zachary A. Kudlak and R. Patrick Vernon, Boundedness of Solutions
of and of with Non-constant Coefficients.- D. Andrica and O. Bagdasar, On
the Dynamic Geometry of Kasner Polygons with Complex Parameter.- Svetlin G.
Georgiev and S. Kryzhevich, Linear Time-Varying Dynamic-Algebraic Equations
of Index One on Time Scales.- Part II. Discrete Dynamical Systems, P.
Glendinning and David J.W. Simpson, Differentiable conjugacies for
one-dimensional maps.- M. Misiurewicz and Hong-Kun Zhang, Topological Entropy
Of Generalized Bunimovich Stadium Billiards.- J. Hannam, B. Krauskopf, and H.
M. Osinga, Global manifolds of saddle periodic orbits parametrised by
isochrons.- R. Boruga, On uniform dichotomies for the growth rates of linear
discrete-time dynamical systems in Banach spaces.- Erik I. Verriest,
Stability and Realization of Difference Equations over Z and R.- Part III.
Discrete-time models applied to engineering, biology and economics, G. I.
Bischi, Discrete dynamical systems in economics: two seminal models and their
developments.- V. Rasvan, On a class of applications for difference equations
in continuous time.- Azmy S. Ackleh and Amy Veprauskas, The Interplay Between
Dispersal and Allee Effects in a Two-Patch Discrete-Time Model.- M. Saburov
and K. Saburov, Krause Mean Processes Generated by Off-Diagonally Uniformly
Positive Nonautonomous Stochastic Hyper-Matrices.- Part IV. Control design
techniques and numerical methods in relationship with discrete-time models,
D. Normand-Cyrot, S. Monaco, M. Mattioni, and A. Moreschini, Passivity
techniques and Hamiltonian structures in discrete time.- S. S. Mihai, F.
Stoican, and B. D. Ciubotaru, Explicit MPC solution using Hasse diagrams:
construction, storage and retrieval.- S. Diaconescu, F. Stoican, and B. D.
Ciubotaru, Tube Model Predictive Control for Flexible Satellite Dynamics.- N.
Pop, T. Sireteanu, L. Vladareanu, M. Iliescu, Ana-Maria Mitu, and V. Marius
Maxim, Numerical modeling and some optimal control problems of dynamic
systems describing contact problems with friction in elasticity.- M. Assal
and S. Belhaj, A Particular Solution for Higher Order Non-Homogeneous
Discrete Cauchy-Euler Equations.
