Results 31 to 40 of about 646 (172)
Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities
Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
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Detecting Homoclinic Points in Nonlinear Discrete Dynamical Systems via Resurgent Analysis
AppliedMathWe present a novel and completely deterministic method to model chaotic orbits in nonlinear discrete dynamics, taking the quadratic map as an example.
Chihiro Matsuoka, Koichi Hiraide
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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
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On solutions of neumann boundary value problem for the liénard type equation
Mathematical Modelling and Analysis, 2008 We provide conditions on the functions f(x) and g(x), which ensure the existence of solutions to the Neumann boundary value problem for the equation x'' + f(x)x'2+g(x)=0.
Svetlana Atslega
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah +4 more
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Analysis of a Heterogeneous Trader Model for Asset Price Dynamics
Discrete Dynamics in Nature and Society, 2011 We examine an asset pricing model of Westerhoff (2005). The model incorporates heterogeneous beliefs among traders, specifically fundamentalists and trend-chasing chartists. The form of the model is shown here to be a nonlinear planar map.
Andrew Foster, Natasha Kirby
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On the creation of homoclinic points [PDF]
Publications mathématiques de l'IHÉS, 1987 The paper deals with \(C^ r\)-diffeomorphisms of a manifold to itself having almost homoclinic points corresponding to some hyperbolic fixed point p. The problem considered is the existence of arbitrarily close \(C^ r\)-diffeomorphisms having homoclinic points. For \(r=1\) or 2 this is proved under an additional assumption involving certain probability
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Common homoclinic points of commuting toral automorphisms [PDF]
Israel Journal of Mathematics, 1999 The homoclinic points of the hyperbolic automorphisms of the \(n\)-torus are studied. It is supposed that the automorphisms commute so that they determine a \(Z^2\)-action which is assumed irreducible. Then it is shown that every two automorphisms either have exactly the same homoclinic points or have no homoclinic points except 0 itself. The case of a
Manning, Anthony, Schmidt, Klaus
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Bifurcation Analysis of Nonlinear Oscillations in the Electrical Activity of Pancreatic β‐Cells
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.ABSTRACT Cell biological systems are characterized by complex relationships and nonlinear processes. The modeling of these processes improves the understanding, and represents a significant enrichment of the experimental investigation. An example of such a system is the regulation of blood glucose concentration by pancreatic β$\beta$‐cells through the ...
Paula Clasen +2 more
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Bifurcation analysis of modified Leslie-Gower predator-prey model with double Allee effect
Ain Shams Engineering Journal, 2018 In the present article, a modified Leslie-Gower predator-prey model with double Allee effect, affecting the prey population, is proposed and analyzed. We have considered both strong and weak Allee effects separately.
Manoj Kumar Singh +2 more
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