Results 51 to 60 of about 5,108 (187)
Dynamics in a Predator–Prey Model with Cooperative Hunting and Allee Effect
Mathematics, 2021 This paper deals with a diffusive predator–prey model with two delays. First, we consider the local bifurcation and global dynamical behavior of the kinetic system, which is a predator–prey model with cooperative hunting and Allee effect.
Yanfei Du, Ben Niu, Junjie Wei
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Bifurcation of heteroclinic orbits for diffeomorphisms [PDF]
Applications of Mathematics, 1991 Using the Lyapunov-Schmidt method in bifurcation theory [\textit{S. N. Chow} and \textit{J. K. Hale}, Methods of Bifurcation Theory (1982; Zbl 0487.47039)], the author investigates bifurcations of heteroclinic orbits of diffeomorphisms \(\Phi: \mathbb{R}^ 2\to \mathbb{R}^ 2\), \(\Phi(x,y)=(f(x),g(x,y))\), where \(g(x,0)\equiv0\), \(x\in(-1/2,3/2 ...
openaire +2 more sources
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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Nearly inviscid Faraday waves in containers with broken symmetry [PDF]
, 2005 In the weakly inviscid regime parametrically driven surface gravity-capillary waves generate oscillatory viscous boundary layers along the container walls and the free surface.
Higuera, María +2 more
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Complexity, Volume 2026, Issue 1, 2026.This study investigates a discrete‐time predator–prey model that includes both prey refuge and memory effects. The research identifies the conditions under which fixed points exist and remain stable. A key focus is placed on analyzing different types of bifurcation—such as period doubling (PD), Neimark–Sacker (NS), and strong resonances (1 : 2, 1 : 3 ...
S. M. Sohel Rana +2 more
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Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems
Open MathematicsConsider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
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Journal of Engineering, 2015 Based on the heteroclinic Shil’nikov theorem and switching control, a kind of multipiecewise linear chaotic system is constructed in this paper. Firstly, two fundamental linear systems are constructed via linearization of a chaotic system at its two ...
Chunyan Han, Fang Yuan, Xiaoyuan Wang
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Abrupt bifurcations in chaotic scattering : view from the anti-integrable limit [PDF]
, 2013 Bleher, Ott and Grebogi found numerically an interesting chaotic phenomenon in 1989 for the scattering of a particle in a plane from a potential field with several peaks of equal height.
Baesens, Claude +2 more
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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
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Bifurcation analysis of a three dimensional system
Journal of Hebei University of Science and Technology, 2018 In order to enrich the stability and bifurcation theory of the three dimensional chaotic systems, taking a quadratic truncate unfolding system with the triple singularity equilibrium as the research subject, the existence of the equilibrium, the ...
Yongwen WANG, Zhiqin QIAO, Yakui XUE
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