Center cyclicity of Lorenz, Chen and Lü systems
type: Item
instance of: scholarly article
title: Center cyclicity of Lorenz, Chen and Lü systems
zbMATH Open document ID: 1428.37046
author: Susanna Maza
author: Douglas S. Shafer
author: Isaac A. García
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2019-11-21T00:00:00Z
full work available at URL: http://hdl.handle.net/10459.1/66494
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37G10
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 7134947
zbMATH Keywords: cyclicity
zbMATH Keywords: limit cycle
zbMATH Keywords: center
zbMATH Keywords: center manifold
MaRDI profile type: Publication
OpenAlex ID: W2950461812
cites work: Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems
cites work: Centers on center manifolds in the Lorenz, Chen and Lü systems
cites work: A classical approach to the analyticity problem of center manifolds
cites work: Inverse Jacobi multipliers
cites work: Local theory of nonlinear analytic ordinary differential equations
cites work: Existence of inverse Jacobi multipliers around Hopf points in \(\mathbb R^3\): emphasis on the center problem
cites work: Multiple Hopf bifurcation in \(\mathbb R^3\) and inverse Jacobi multipliers
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: Ordinary Differential Equations with Applications
cites work: Q4305607
cites work: Q5474767
cites work: Q3413659
cites work: The center problem on a center manifold in \(\mathbb{R}^{3}\)
cites work: Cyclicity of polynomial nondegenerate centers on center manifolds
cites work: Heteroclinic bifurcations in a simple model of double-diffusive convection
cites work: Invariant algebraic surfaces of the Lorenz system
cites work: Deterministic Nonperiodic Flow
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: The Center and Cyclicity Problems
cites work: A method of constructing cycles without contact around a weak focus
cites work: Multiple limit cycles and centers on center manifolds for Lorenz system
cites work: Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces
DOI: 10.1016/J.NA.2019.06.012
Recommended article: Centers on center manifolds in the Lorenz, Chen and Lü systems
Recommended article: Multiple limit cycles and centers on center manifolds for Lorenz system
Recommended article: Absolute cyclicity, Lyapunov quantities and center conditions
Recommended article: Q5394866
Recommended article: On Lorenz and Chen Systems
Recommended article: Center Problems and Limit Cycle Bifurcations in a Class of Quasi-Homogeneous Systems
Recommended article: Limit cycles and center-focus of nonlinear systems
Recommended article: Q5445609
Recommended article: Local bifurcation and center problem for a more generalized Lorenz system
Recommended article: Limit cycles and invariant centers for an extended Kukles system
description: scientific article; zbMATH DE number 7134947