Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces
type: Item
instance of: scholarly article
title: Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces
zbMATH Open document ID: 1338.37038
author: Xiang Zhang
author: Kesheng Wu
published in: Physica D
publication date: 2013-04-30T00:00:00Z
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 34C45
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 6159579
zbMATH Keywords: generalized Lorenz system
zbMATH Keywords: invariant algebraic surface
zbMATH Keywords: global dynamics
zbMATH Keywords: limit cycle
zbMATH Keywords: blow-up and Poincaré compactification
MaRDI profile type: Publication
full work available at URL: j.physd.2012.10.011
OpenAlex ID: W1964879541
cites work: Deterministic Nonperiodic Flow
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: Integrals of motion and the shape of the attractor for the Lorenz model
cites work: Integrals of motion for three-dimensional non-Hamiltonian dynamical systems
cites work: Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
cites work: BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
cites work: The Lorenz equations: bifurcations, chaos, and strange attractors
cites work: A UNIFIED LORENZ-TYPE SYSTEM AND ITS CANONICAL FORM
cites work: Ši'lnikov chaos in the generalized Lorenz canonical form of dynamical systems
cites work: Dynamics of the Lorenz system having an invariant algebraic surface
cites work: The topological structure of the Rabinovich system having an invariant algebraic surface
cites work: GLOBAL DYNAMICS OF THE LORENZ SYSTEM WITH INVARIANT ALGEBRAIC SURFACES
cites work: Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the Lorenz system
cites work: Global dynamics of the Rössler system with conserved quantities
cites work: Global dynamics of the Rikitake system
cites work: On the global dynamics of the Rabinovich system
cites work: THE CHEN SYSTEM HAVING AN INVARIANT ALGEBRAIC SURFACE
cites work: Darboux polynomials and rational first integrals of the generalized Lorenz systems
cites work: Invariant algebraic surfaces of the Lorenz system
cites work: Bounded Polynomial Vector Fields
cites work: Q3715459
cites work: Qualitative theory of planar differential systems
DOI: 10.1016/J.PHYSD.2012.10.011
description: scientific article; zbMATH DE number 6159579