Results 61 to 70 of about 633,095 (156)

Existence of lattice solutions to semilinear elliptic systems with periodic potential

Electronic Journal of Differential Equations, 2012
Under the assumption that the potential W is invariant under a general discrete reflection group $G'=TG$ acting on $mathbb{R}^n$, we establish existence of G'-equivariant solutions to $Delta u - W_u(u) = 0$, and find an estimate.
Nicholas D. Alikakos, Panayotis Smyrnelis   +1 more
doaj  

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm

IET Computers &Digital Techniques, Volume 2026, Issue 1, 2026.
With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan, Noura H. Elshabasy, Eyad Mamdouh, Remas Osama, Mohamed A. Abd El Ghany, Dina El-Damak, Jim Harkin   +6 more
wiley   +1 more source

Analog Circuit Simplification of a Chaotic Hopfield Neural Network Based on the Shil’nikov’s Theorem

Dynamics
Circuit implementation is a widely accepted method for validating theoretical insights observed in chaotic systems. It also serves as a basis for numerous chaos-based engineering applications, including data encryption, random number generation, secure ...
Diego S. de la Vega, Lizbeth Vargas-Cabrera, Olga G. Félix-Beltrán, Jesus M. Munoz-Pacheco   +3 more
doaj   +1 more source

Kudryashov Expansion Method Applied to Fisher Mathematical Model

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
We obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical wave structures of soliton solutions within the scope of evolutionary dynamical structures of ...
Elif Deniz Öztürk, Ercan Çelik, Sıdıka Şule Şener Kiliç, Kang-Jia Wang   +3 more
wiley   +1 more source

Solar sail dynamics in the three-body problem: homoclinic paths of points and orbits [PDF]

, 2008
In this paper we consider the orbital previous termdynamicsnext term of a previous termsolar sailnext term in the Earth-Sun circular restricted three-body problem. The equations of motion of the previous termsailnext term are given by a set of non-linear
Waters, Thomas, McInnes, Colin, Waters, Thomas J., McInnes, Colin R.   +3 more
core   +2 more sources

Dynamics of Trajectories and Weak Chimera Patterns in the Second‐Order Kuramoto Model With Damping Effects

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study examines the second‐order Kuramoto model within a specific small invariant subspace. We explore how the damping parameter influences the emergence of synchronized states and the weak chimera state in this model. In addition, we numerically investigate various behaviors in the phase space resulting from changes in the damping parameter and ...
Mary G. Thoubaan, Abbas Kareem Wanas, Daniel Breaz, Luminiţa-Ioana Cotîrlă, Shikha Binwal   +4 more
wiley   +1 more source

Nonlinear Bifurcation and Numerical Analysis of Equilibria in Heated Curved Endoscopic Peristaltic Flow

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Bifurcation analysis constitutes a powerful tool for understanding transport flow phenomena arising from peristaltic motion in a curved heated endoscope. This approach is useful for assessing a peristaltic endoscope model in a curved tube. Bifurcation and dynamical analyses reveal heat transfer and entropy behavior at critical points.
Thoraya N. Alharthi, Qingkai Zhao
wiley   +1 more source

Existence of periodic orbits near heteroclinic connections

, 2018
36 pages, 4 ...
Fusco, Giorgio, Gronchi, Giovanni F., Novaga, Matteo   +2 more
openaire   +4 more sources

Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability

Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.
ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
wiley   +1 more source