Cascade of bifurcations in Lorenz-like systems: birth of a strange attractor, blue sky catastrophe bifurcation, and nine homoclinic bifurcations
type: Item
instance of: scholarly article
title: Cascade of bifurcations in Lorenz-like systems: birth of a strange attractor, blue sky catastrophe bifurcation, and nine homoclinic bifurcations
zbMATH Open document ID: 1360.37133
DOI: 10.1134/S106456241505018X
published in: Doklady Mathematics
publication date: 2016-01-29T00:00:00Z
Mathematics Subject Classification ID: 37G35
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 6537030
zbMATH Keywords: Lorenz-like system
zbMATH Keywords: cascade of bifurcations
zbMATH Keywords: limit cycles
zbMATH Keywords: strange attractor
author: G. A. Leonov
MaRDI profile type: Publication
cites work: Q4930147
cites work: General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems
cites work: The Tricomi problem for the Shimizu-Morioka dynamical system
cites work: Criteria for the existence of homoclinic orbits of systems Lu and Chen
cites work: Shilnikov chaos in Lorenz-like systems
cites work: Rössler systems: estimates for the dimension of attractors and homoclinic orbits
cites work: Q4751322
cites work: Q5582924
full work available at URL: s106456241505018x
OpenAlex ID: W2274796412
description: scientific article; zbMATH DE number 6537030