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Journal of Difference Equations and Applications Best Paper Award

Created 01 Jan 2002| Updated 23 Sep 2022 | 22 articles

The Journal of Difference Equations and Applications and the International Society of Difference Equations are pleased to award an annual Best Paper Prize to the best paper published in the Journal of Difference Equations and Applications within a given year.

Browse the award-winning papers below.

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Article
Smooth conjugacy of difference equations derived from elliptic curves
Paul Glendinning & Sasha Glendinning

Originally published in Journal of Difference Equations and Applications, Volume: 27, Number: 10 (03 Oct 2021)

Published online: 13 Oct 2021
AbstractforSmooth conjugacy of difference equations derived from elliptic curves | Full Text | References | PDF (1.1 MB) | EPUB
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Article
Topological properties of Lorenz maps derived from unimodal maps
Ana Anušić, Henk Bruin & Jernej Činč

Originally published in Journal of Difference Equations and Applications, Volume: 26, Number: 8 (02 Aug 2020) Special issue on the occasion of the 82nd birthday of Oleksandr M. Sharkovsky

Published online: 29 May 2020
AbstractforTopological properties of Lorenz maps derived from unimodal maps | Full Text | References | PDF (1.4 MB) | EPUB
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Open Access
Article
Weakly contractive iterated function systems and beyond: a manual
Krzysztof Leśniak, Nina Snigireva & Filip Strobin

Originally published in Journal of Difference Equations and Applications, Volume: 26, Number: 8 (02 Aug 2020) Special issue on the occasion of the 82nd birthday of Oleksandr M. Sharkovsky

Published online: 06 May 2020
AbstractforWeakly contractive iterated function systems and beyond: a manual | Full Text | References | PDF (4.3 MB) | EPUB
  • 599 Views
  • 15 CrossRef citations
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Article
Invariant fibrations for some birational maps of ℂ2
Anna Cima & Sundus Zafar

Originally published in Journal of Difference Equations and Applications, Volume: 25, Number: 8 (03 Aug 2019)

Published online: 19 Aug 2019
AbstractforInvariant fibrations for some birational maps of ℂ2 | Full Text | References | PDF (1.9 MB) | EPUB
  • 166 Views
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Article
An alternative approach for stability analysis of discrete time nonlinear dynamical systems
R. Bouyekhf & L. T. Gruyitch

Originally published in Journal of Difference Equations and Applications, Volume: 24, Number: 1 (02 Jan 2018)

Published online: 26 Oct 2017
AbstractforAn alternative approach for stability analysis of discrete time nonlinear dynamical systems | Full Text | References | PDF (1.3 MB)
  • 448 Views
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Article
Periods of continuous maps on some compact spaces
Juan Luis García Guirao & Jaume Llibre

Originally published in Journal of Difference Equations and Applications, Volume: 23, Number: 1-2 (01 Feb 2017) Special Issue in honour of Garcia-Laencina

Published online: 22 Mar 2017
AbstractforPeriods of continuous maps on some compact spaces | Full Text | References | PDF (635.3 KB)
  • 261 Views
  • 6 CrossRef citations
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Article
Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems
Stephen Baigent

Originally published in Journal of Difference Equations and Applications, Volume: 22, Number: 5 (03 May 2016)

Published online: 30 Dec 2015
AbstractforConvexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems | Full Text | References | PDF (1.1 MB)
  • 286 Views
  • 12 CrossRef citations
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Article
Evolutionary games on graphs and discrete dynamical systems
Jeremias Epperlein, Stefan Siegmund & Petr Stehlík

Originally published in Journal of Difference Equations and Applications, Volume: 21, Number: 2 (01 Feb 2015)

Published online: 17 Dec 2014
AbstractforEvolutionary games on graphs and discrete dynamical systems | Full Text | References | PDF (345.5 KB)
  • 945 Views
  • 5 CrossRef citations
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Free Access
Article
Local stability implies global stability for the 2-dimensional Ricker map
Ferenc A. Bartha, Ábel Garab & Tibor Krisztin

Originally published in Journal of Difference Equations and Applications, Volume: 19, Number: 12 (01 Dec 2013)

Published online: 01 Oct 2013
AbstractforLocal stability implies global stability for the 2-dimensional Ricker map | Full Text | References | PDF (456.1 KB)
  • 291 Views
  • 22 CrossRef citations
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Article
The speed with which an orbit approaches a limit point
T. K. Subrahmonian Moothathu

Originally published in Journal of Difference Equations and Applications, Volume: 18, Number: 10 (01 Oct 2012)

Published online: 14 Jun 2011
AbstractforThe speed with which an orbit approaches a limit point | Full Text | References | PDF (132.4 KB)
  • 192 Views
  • 1 CrossRef citations
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Article
Homoclinic trajectories of non-autonomous maps
Thorsten Hüls

Originally published in Journal of Difference Equations and Applications, Volume: 17, Number: 1 (01 Jan 2011)

Published online: 13 Dec 2010
AbstractforHomoclinic trajectories of non-autonomous maps | Full Text | References | PDF (315.5 KB)
  • 133 Views
  • 10 CrossRef citations
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Article
Classification of complex polynomial vector fields in one complex variable
Bodil Branner & Kealey Dias

Originally published in Journal of Difference Equations and Applications, Volume: 16, Number: 5-6 (01 May 2010) Dedicated to Robert L. Devaney on the Occasion of his 60th Birthday

Published online: 21 May 2010
AbstractforClassification of complex polynomial vector fields in one complex variable | Full Text | References | PDF (1,013.9 KB)
  • 1196 Views
  • 18 CrossRef citations
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Free Access
Article
Robustness of hyperbolic solutions under parametric perturbations
Christian Pötzsche

Originally published in Journal of Difference Equations and Applications, Volume: 15, Number: 8-9 (01 Aug 2009) Dedicated to Robert J. Sacker on the Occasion of his 70th Birthday

Published online: 03 Jul 2009
AbstractforRobustness of hyperbolic solutions under parametric perturbations | Full Text | References | PDF (188.6 KB)
  • 72 Views
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Article
On r-periodic orbits of k-periodic maps
Wolf-Jürgen Beyn, Thorsten Hüls & Malte-Christopher Samtenschnieder

Originally published in Journal of Difference Equations and Applications, Volume: 14, Number: 8 (01 Aug 2008)

Published online: 12 Jun 2008
AbstractforOn r-periodic orbits of k-periodic maps | Full Text | References | PDF (1.3 MB)
  • 130 Views
  • 6 CrossRef citations
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Article
On the distribution of mantissae in nonautonomous difference equations
A. Berger & S. Siegmund

Originally published in Journal of Difference Equations and Applications, Volume: 13, Number: 8-9 (01 Aug 2007) Second Memorial Issue in Honour of Bernd Aulbach

Published online: 13 Aug 2007
AbstractforOn the distribution of mantissae in nonautonomous difference equations | Full Text | References | PDF (201.7 KB)
  • 70 Views
  • 8 CrossRef citations
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Article
Towards a bifurcation theory for nonautonomous difference equations
Martin Rasmussen

Originally published in Journal of Difference Equations and Applications, Volume: 12, Number: 3-4 (01 Mar 2006)

Published online: 31 Aug 2006
AbstractforTowards a bifurcation theory for nonautonomous difference equations | Full Text | References | PDF (193.7 KB)
  • 245 Views
  • 16 CrossRef citations
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Article
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra
Jeffrey C. Lagarias & Eric Rains

Originally published in Journal of Difference Equations and Applications, Volume: 11, Number: 14 (01 Dec 2005)

Published online: 19 Aug 2006
AbstractforDynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra | Full Text | References | PDF (238.1 KB)
  • 88 Views
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Article
Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles
Jeffrey C. Lagarias & Eric Rains

Originally published in Journal of Difference Equations and Applications, Volume: 11, Number: 13 (01 Nov 2005)

Published online: 21 Aug 2006
AbstractforDynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles | Full Text | References | PDF (248.9 KB)
  • 108 Views
  • 15 CrossRef citations
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Article
Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers
Jeffrey C. Lagarias & Eric Rains

Originally published in Journal of Difference Equations and Applications, Volume: 11, Number: 12 (01 Oct 2005)

Published online: 16 Aug 2006
AbstractforDynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers | Full Text | References | PDF (214 KB)
  • 316 Views
  • 16 CrossRef citations
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Article
SIS Epidemic Models with Multiple Pathogen Strains
Linda J.S. Allen, Nadarajah Kirupaharan & Sherri M. Wilson

Originally published in Journal of Difference Equations and Applications, Volume: 10, Number: 1 (01 Jan 2004)

Published online: 12 May 2010
AbstractforSIS Epidemic Models with Multiple Pathogen Strains | Full Text | References | PDF (236 KB)
  • 436 Views
  • 16 CrossRef citations
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Article
On the Periodic Structure of Delayed Difference Equations of the Form x n = f ( x n − k ) on I and S 1
F. Balibrea & A. Linero

Originally published in Journal of Difference Equations and Applications, Volume: 9, Number: 3-4 (01 Mar 2003)

Published online: 17 Sep 2010
AbstractforOn the Periodic Structure of Delayed Difference Equations of the Form x n = f ( x n − k ) on I and S 1 | References | PDF (162 KB)
  • 87 Views
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Article
More on Poincaré’s and Perron’s Theorems for Difference Equations∗
Mihály Pituk

Originally published in Journal of Difference Equations and Applications, Volume: 8, Number: 3 (01 Jan 2002)

Published online: 17 Sep 2010
AbstractforMore on Poincaré’s and Perron’s Theorems for Difference Equations∗ | References | PDF (134.4 KB)
  • 350 Views
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