Results 41 to 50 of about 3,877 (218)
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
doaj +1 more source
Destabilization by noise of tranverse perturbations to heteroclinic cycles: a simple model and an example from dynamo theory [PDF]
, 1999 We show that transverse perturbations from structurally stable heteroclinic cycles can be destabilized by surprisingly small amounts of noise, even when each individual fixed point of the cycle is stable to transverse modes. A condition that favours this
Gog, J.R. +3 more
core +1 more source
Heteroclinic Cycles in a Competitive Network
International Journal of Bifurcation and Chaos, 2017 The competitive threshold linear networks have been recently developed and are typical examples of nonsmooth systems that can be easily constructed. Due to their flexibility for manipulation, they are used in several applications, but their dynamics (both local and global) are not completely understood.
Ulises Chialva, Walter Reartes
openaire +3 more sources
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
doaj +1 more source
On Takens' Last Problem: tangencies and time averages near heteroclinic networks [PDF]
, 2017 We obtain a structurally stable family of smooth ordinary differential equations exhibiting heteroclinic tangencies for a dense subset of parameters. We use this to find vector fields $C^2$-close to an element of the family exhibiting a tangency, for ...
Labouriau, Isabel S. +1 more
core +2 more sources
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
doaj +1 more source
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
core +3 more sources
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
core +1 more source
Winnerless competition in coupled Lotka-Volterra maps [PDF]
, 2013 Winnerless competition is analyzed in coupled maps with discrete temporal evolution of the Lotka-Volterra type of arbitrary dimension. Necessary and sufficient conditions for the appearance of structurally stable heteroclinic cycles as a function of the ...
Cabrera, Juan Luis +3 more
core +2 more sources
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
openaire +3 more sources