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An Image Encryption Algorithm Based on Multichaotic System and DNA Coding

Discrete dynamics in nature and society, 2020-09, Vol.2020, p.1-16

2020

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Benchmark Problems for the Numerical Discretization of the Cahn–Hilliard Equation with a Source Term

Discrete dynamics in nature and society, 2021-12, Vol.2021, p.1-11

2021

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Averaging Principle for Backward Stochastic Differential Equations

Discrete dynamics in nature and society, 2021-03, Vol.2021, p.1-10

2021

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Synchronizability of Multilayer Star and Star-Ring Networks

Discrete dynamics in nature and society, 2020, Vol.2020, p.1-20

2020

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Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity

Discrete dynamics in nature and society, 2021, Vol.2021, p.1-16

2021

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Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model

Discrete dynamics in nature and society, 2020, Vol.2020, p.1-9

2020

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Periodic traveling wave solutions of discrete nonlinear Klein‐Gordon lattices

Mathematical methods in the applied sciences, 2023-11, Vol.46 (17), p.18400-18419

2023

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Stability Analysis of an Alcoholism Model with Public Health Education and NSFD Scheme

Discrete dynamics in nature and society, 2020, Vol.2020, p.1-15

2020

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Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem

Discrete dynamics in nature and society, 2020, Vol.2020, p.1-9

2020

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Stability of a Discrete-Time Pathogen Infection Model with Adaptive Immune Response

Discrete dynamics in nature and society, 2020, Vol.2020, p.1-26

2020

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Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤd, d ≥ 1

Proceedings of the Edinburgh Mathematical Society, 2022-05, Vol.65 (2), p.480-499

2022

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Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay

Discrete dynamics in nature and society, 2018-01, Vol.2018, p.1-8

2018

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Asymptotic Behavior of Solutions to Reaction-Diffusion Equations with Dynamic Boundary Conditions and Irregular Data

Discrete dynamics in nature and society, 2018-01, Vol.2018, p.1-13

2018

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Dissipative Localised Structures for the Complex Discrete Ginzburg–Landau Equation

Journal of nonlinear science, 2023-06, Vol.33 (3), Article 51

2023

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Regularity of nonvanishing - at infinity or at the boundary - solutions of the defocusing nonlinear Schrödinger equation

Communications in partial differential equations, 2021-02, Vol.46 (2), p.233-281

2021

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A remark on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg–Landau equation

Journal of mathematical physics, 2009-08, Vol.50 (8), p.082701-082701-8

Karachalios, Nikos I.

2009

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Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence

Nonlinear analysis, 2022-02, Vol.215, p.112647, Article 112647

2022

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Note added to proof and corrigendum to “Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence” [Nonlinear Anal. 215 (2022) 112647]

Nonlinear analysis, 2022-05, Vol.218, p.112808, Article 112808

2022

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On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence

Calculus of variations and partial differential equations, 2006-03, Vol.25 (3), p.361-393

2006

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Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤ d , d ≥ 1

Proceedings of the Edinburgh Mathematical Society, 2022-05, Vol.65 (2), p.480-499

2022

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The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schrödinger equation

Journal of Differential Equations, 2022-04, Vol.316, p.346-363

2022

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A REMARK ON THE EXISTENCE OF BREATHER SOLUTIONS FOR THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION IN INFINITE LATTICES: THE CASE OF SITE-DEPENDENT ANHARMONIC PARAMETERS

Proceedings of the Edinburgh Mathematical Society, 2006-02, Vol.49 (1), p.115-129

Karachalios, Nikos I.

2006

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On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations

Journal of Differential Equations, 2024-07, Vol.397, p.106-165

2024

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GLOBAL EXISTENCE IN INFINITE LATTICES OF NONLINEAR OSCILLATORS: THE DISCRETE KLEIN-GORDON EQUATION

Glasgow mathematical journal, 2006-09, Vol.48 (3), p.463-482

KARACHALIOS, NIKOS I.

2006

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The existence of a global attractor for the discrete nonlinear Schrödinger equation. II. Compactness without tail estimates in $\mathbb{Z}^N$, $N\geq1$, lattices

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2007-02, Vol.137 (1), p.63-76

2007

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An Image Encryption Algorithm Based on Multichaotic System and DNA Coding

Benchmark Problems for the Numerical Discretization of the Cahn–Hilliard Equation with a Source Term

Averaging Principle for Backward Stochastic Differential Equations

Synchronizability of Multilayer Star and Star-Ring Networks

Global Existence and Blow-Up for the Classical Solutions of the Long-Short Wave Equations with Viscosity

Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model

Periodic traveling wave solutions of discrete nonlinear Klein‐Gordon lattices

Stability Analysis of an Alcoholism Model with Public Health Education and NSFD Scheme

Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem

Stability of a Discrete-Time Pathogen Infection Model with Adaptive Immune Response

Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤd, d ≥ 1

Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay

Asymptotic Behavior of Solutions to Reaction-Diffusion Equations with Dynamic Boundary Conditions and Irregular Data

Dissipative Localised Structures for the Complex Discrete Ginzburg–Landau Equation

Regularity of nonvanishing - at infinity or at the boundary - solutions of the defocusing nonlinear Schrödinger equation

A remark on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg–Landau equation

Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence

Note added to proof and corrigendum to “Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence” [Nonlinear Anal. 215 (2022) 112647]

On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence

Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤ d , d ≥ 1

The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schrödinger equation

A REMARK ON THE EXISTENCE OF BREATHER SOLUTIONS FOR THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION IN INFINITE LATTICES: THE CASE OF SITE-DEPENDENT ANHARMONIC PARAMETERS

On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations

GLOBAL EXISTENCE IN INFINITE LATTICES OF NONLINEAR OSCILLATORS: THE DISCRETE KLEIN-GORDON EQUATION

The existence of a global attractor for the discrete nonlinear Schrödinger equation. II. Compactness without tail estimates in $\mathbb{Z}^N$, $N\geq1$, lattices

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