Results 51 to 60 of about 3,779 (211)
Cooperation-Based Modeling of Sustainable Development: An Approach from Filippov’s Systems
Complexity, 2021 The concept of Sustainable Development has given rise to multiple interpretations. In this article, it is proposed that Sustainable Development should be interpreted as the capacity of territory, community, or landscape to conserve the notion of well ...
Jorge A. Amador +3 more
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Stability of heteroclinic cycles in ring graphs
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022 Networks of interacting nodes connected by edges arise in almost every branch of scientific inquiry. The connectivity structure of the network can force the existence of invariant subspaces, which would not arise in generic dynamical systems. These invariant subspaces can result in the appearance of robust heteroclinic cycles, which would otherwise be ...
Claire M. Postlethwaite, Rob Sturman
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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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Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics [PDF]
, 2000 In this paper we apply dynamical systems techniques to the problem of heteroclinic connections and resonance transitions in the planar circular restricted three-body problem.
Koon, Wang Sang +3 more
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Control of noisy heteroclinic cycles
Physica D: Nonlinear Phenomena, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. D. Coller +2 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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, 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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Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection [PDF]
, 1998 We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this ‘cycling chaos’ manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant sets interspersed with short ...
A.M. Rucklidge +23 more
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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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Oscillatory long-wave Marangoni convection in a layer of a binary liquid: Hexagonal patterns [PDF]
, 2011 We consider a long-wave oscillatory Marangoni convection in a layer of a binary liquid in the presence of the Soret effect. A weakly nonlinear analysis is carried out on a hexagonal lattice.
Nepomnyashchy, A. A. +2 more
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