Results 31 to 40 of about 648 (183)
The Hunt Opinion Model-An Agent Based Approach to Recurring Fashion Cycles. [PDF]
PLoS ONE, 2016 We study a simple agent-based model of the recurring fashion cycles in the society that consists of two interacting communities: "snobs" and "followers" (or "opinion hunters", hence the name of the model).
Rafał Apriasz +3 more
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Perturbation of a Period Annulus with a Unique Two-Saddle Cycle in Higher Order Hamiltonian
Complexity, 2019 In this paper, we study the number of limit cycles emerging from the period annulus by perturbing the Hamiltonian system x˙=y,y˙=x(x2-1)(x2+1)(x2+2). The period annulus has a heteroclinic cycle connecting two hyperbolic saddles as the outer boundary.
Hongying Zhu +3 more
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Journal of Differential Equations, 2000 The paper presents a study of bifurcations from singular heteroclinic cycles in two parameter families of vector fields in \(\mathbb{R}^n\). The heteroclinic cycle consists of a hyperbolic singularity, a saddle-node singularity, and two heteroclinic orbits between them. The weak stable and weak unstable eigenvalues of the vector field at the hyperbolic
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Heteroclinic cycles in lattice dynamical systems
Science in China Series A: Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
秦文新, QIAN MIN
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Chaos in Coupled Heteroclinic Cycles and its Piecewise-Constant Representation [PDF]
, 2022 Arkady Pikovsky, Alexander Nepomnyashchy
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Eco-evolutionary feedback and the invasion of cooperation in prisoner's dilemma games. [PDF]
PLoS ONE, 2011 Unveiling the origin and forms of cooperation in nature poses profound challenges in evolutionary ecology. The prisoner's dilemma game is an important metaphor for studying the evolution of cooperation.
Feng Zhang, Cang Hui
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Heteroclinic Dynamics of Localized Frequency Synchrony: Heteroclinic Cycles for Small Populations [PDF]
Journal of Nonlinear Science, 2019 Many real-world systems can be modeled as networks of interacting oscillatory units. Collective dynamics that are of functional relevance for the oscillator network, such as switching between metastable states, arise through the interplay of network structure and interaction.
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Pseudo and true singularly degenerate heteroclinic cycles of a new 3D cubic Lorenz-like system
Results in PhysicsIn contrast to the coexistence of infinitely many pseudo and true singularly degenerate heteroclinic cycles with nearby two-scroll hyperchaotic Lorenz-like attractors coined in four-dimensional systems, this note reports the ones with nearby bifurcated ...
Haijun Wang +6 more
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, 2018 Using a vector field in $\mathbb{R}^4$, we provide an example of a robust heteroclinic cycle between two equilibria that displays a mix of features exhibited by well-known types of low-dimensional heteroclinic structures, including simple, quasi-simple and pseudo-simple cycles.
Castro, Sofia, Lohse, Alexander
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Periodic perturbations of quadratic planar polynomial vector fields
Anais da Academia Brasileira de Ciências, 2002 In this work are studied periodic perturbations, depending on two parameters, of quadratic planar polynomial vector fields having an infinite heteroclinic cycle, which is an unbounded solution joining two saddle points at infinity.
MARCELO MESSIAS
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