Difference Equations And Discrete Dynamical Systems - ISBN:9812565205

Difference Equations And Discrete Dynamical Systems

Date: 16 April 2011, 00:06

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Difference Equations or Discrete Dynamical Systems is a diverse field which impacts almost every branch of pure and applied mathematics. Not surprisingly, the techniques that are developed vary just as broadly. No more so is this variety reflected than at the prestigious annual International Conference on Difference Equations and Applications. Organized under the auspices of the International Society of Difference Equations, the Conferences have an international attendance and a wide coverage of topics.
The contributions from the conference collected in this volume invite the mathematical community to see a variety of problems and applications with one ingredient in common, the Discrete Dynamical System. Readers may also keep abreast of the many novel techniques and developments in the field. The special emphasis of the meeting was on mathematical biology and accordingly about half of the articles are in the related areas of mathematical ecology and mathematical medicine.
Contents:
A Hybrid Approximation to Certain Delay Differential Equation with a Constant Delay (G Seifert)
Discrete Models of Differential Equations: The Roles of Dynamic Consistency and Positivity (R E Mickens)
Enveloping Implies Global Stability (P Cull)
Local Approximation of Invariant Fiber Bundles: An Algorithmic Approach (C Potzsche & M Rasmussen)
On a Class of Generalized Autoregressive Processes (K C Chanda)
Regularity of Difference Equations (J Hietarinta)
Some Discrete Competition Models and the Principle of Competitive Exclusion (J M Cushing & S LeVarge)
Symbolic Dynamics in the Study of Bursting Electrical Activity (J Duarte et al.)
and other papers

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