Results 41 to 50 of about 648 (183)
Simple heteroclinic cycles in R^4
, 2013 In generic dynamical systems heteroclinic cycles are invariant sets of codimension at least one, but they can be structurally stable in systems which are equivariant under the action of a symmetry group, due to the existence of flow-invariant subspaces.
Podvigina, Olga, Chossat, Pascal
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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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Abstract and Applied Analysis, 2014 This paper is concerned with anticontrol of chaos for a class of delay difference equations via the feedback control technique. The controlled system is first reformulated into a high-dimensional discrete dynamical system.
Zongcheng Li
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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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Shapley Polygons in 4 x 4 Games
Games, 2010 We study 4 x 4 games for which the best response dynamics contain a cycle. We give examples in which multiple Shapley polygons occur for these kinds of games.
Martin Hahn
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha +2 more
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Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT We develop a general modeling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment‐specific traits. We start by formulating an individual‐based model that describes the dynamics of single individuals in terms of stochastic processes. Then, we formally
Emanuele Bernardi +3 more
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Large amplitude oscillations for a class of symmetric polynomial differential systems in R³
Anais da Academia Brasileira de Ciências, 2007 In this paper we study a class of symmetric polynomial differential systems in R³, which has a set of parallel invariant straight lines, forming degenerate heteroclinic cycles, which have their two singular endpoints at infinity.
Jaume Llibre, Marcelo Messias
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A Multiparameter Singular Perturbation Analysis of the Robertson Model
Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.ABSTRACT The Robertson model describing a chemical reaction involving three reactants is one of the classical examples of stiffness in ODEs. The stiffness is caused by the occurrence of three reaction rates k1,k2,${k}_{1},{k}_{2},$ and k3,${k}_{3},$ with largely differing orders of magnitude, acting as parameters.
Lukas Baumgartner, Peter Szmolyan
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Nonlinear semelparous Leslie models
Mathematical Biosciences and Engineering, 2005 In this paper we consider the bifurcations that occur at the trivial equilibrium of a general class of nonlinear Leslie matrix models for the dynamics of a structured population in which only the oldest class is reproductive.
J. M. Cushing
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