Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I
type: Item
instance of: scholarly article
title: Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I
zbMATH Open document ID: 1061.34036
author: Hiroshi Kokubu
author: Robert Roussarie
published in: Journal of Dynamics and Differential Equations
publication date: 2005-03-15T00:00:00Z
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 2145901
zbMATH Keywords: Lorenz system
zbMATH Keywords: singularly degenerate heteroclinic cycle
zbMATH Keywords: bifurcation
zbMATH Keywords: chaotic attractor
MaRDI profile type: Publication
full work available at URL: s10884-004-4290-4
OpenAlex ID: W2025846951
cites work: Q3042044
cites work: Lorenz type attractors from codimension one bifurcation
cites work: The dynamics of the Hénon map
cites work: The bifurcations of separatrix contours and chaos
cites work: Applications of centre manifold theory
cites work: Lorenz Equations Part I: Existence and Nonexistence of Homoclinic Orbits
cites work: CONSTRUCTING LORENZ TYPE ATTRACTORS THROUGH SINGULAR PERTURBATIONS
cites work: Q4280766
cites work: Chaotic dynamics in ${\mathbb Z}_2$-equivariant unfoldings of codimension three singularities of vector fields in ${\mathbb R}^3$
cites work: A degenerate singularity generating geometric Lorenz attractors
cites work: Germs of diffeomorphisms in the plane
cites work: Computer assisted proof of chaos in the Lorenz equations
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Structural stability of Lorenz attractors
cites work: A shooting approach to chaos in the Lorenz equations
cites work: A two-dimensional mapping with a strange attractor
cites work: Homoclinic-doubling cascades.
cites work: Resonant homoclinic flip bifurcations
cites work: Deterministic Nonperiodic Flow
cites work: Q4941616
cites work: Chaos in the Lorenz equations: A computer assisted proof. III: Classical parameter values
cites work: Homoclinic Bifurcation to a Transitive Attractor of Lorenz Type, II
cites work: Q4280772
cites work: Bifurcation of planar vector fields and Hilbert's sixteenth problem
cites work: NORMAL FORMS AND LORENZ ATTRACTORS
cites work: The Lorenz equations: bifurcations, chaos, and strange attractors
cites work: Q3218841
cites work: What's new on Lorenz strange attractors?
DOI: 10.1007/S10884-004-4290-4
description: scientific article; zbMATH DE number 2145901