Hopf bifurcations in an extended Lorenz system
type: Item
instance of: scholarly article
title: Hopf bifurcations in an extended Lorenz system
zbMATH Open document ID: 1422.34136
author: Zhiming Zhou
author: Gheorghe Tigan
author: Zhiheng Yu
published in: Advances in Difference Equations
publication date: 2018-12-04T00:00:00Z
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 70K50
zbMATH DE Number: 6988609
zbMATH Keywords: extended Lorenz system
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: center manifold
zbMATH Keywords: Lyapunov constant
zbMATH Keywords: degeneration
MaRDI profile type: Publication
full work available at URL: s13662-017-1083-8
OpenAlex ID: W2582853559
Wikidata QID: Q59526845
cites work: Deterministic Nonperiodic Flow
cites work: An equation for hyperchaos
cites work: The double scroll family
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: Q5299458
cites work: A new finding of the existence of hidden hyperchaotic attractors with no equilibria
cites work: Hidden Hyperchaotic Attractors in a Modified Lorenz–Stenflo System with Only One Stable Equilibrium
cites work: Hidden Attractors and Dynamical Behaviors in an Extended Rikitake System
cites work: Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system
cites work: On the periodic orbit bifurcating from one single non-hyperbolic equilibrium in a chaotic jerk system
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Elements of applied bifurcation theory
cites work: Criterion of Hopf bifurcations without using eigenvalues
DOI: 10.1186/S13662-017-1083-8
description: scientific article; zbMATH DE number 6988609