Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations
zbMATH Open document ID: 1354.37033
published in: Nonlinear Dynamics
publication date: 2016-11-09T00:00:00Z
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37G10
zbMATH DE Number: 6649664
zbMATH Keywords: homoclinic trajectories
zbMATH Keywords: strange attractor
zbMATH Keywords: blue sky catastrophe
zbMATH Keywords: cascade of bifurcations
zbMATH Keywords: fishing principle
zbMATH Keywords: Lorenz-like system
zbMATH Keywords: Chen system
zbMATH Keywords: Lu system
zbMATH Keywords: Shimizu-Morioka system
zbMATH Keywords: saddle value
zbMATH Keywords: separatrix of saddle point
author: G. A. Leonov
MaRDI profile type: Publication
full work available at URL: s11071-015-2549-4
OpenAlex ID: W2276107102
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DOI: 10.1007/S11071-015-2549-4
description: scientific article; zbMATH DE number 6649664