Hamilton-Poisson realizations for the Lü system
type: Item
instance of: scholarly article
title: Hamilton-Poisson realizations for the Lü system
zbMATH Open document ID: 1223.34067
DOI: 10.1155/2011/842325
author: Camelia Petrişor
author: Dumitru Bălă
author: Camelia Pop Arieşanu
published in: Mathematical Problems in Engineering
publication date: 2011-06-07T00:00:00Z
review text: Summary: The Hamilton-Poisson geometry has proved to be an interesting approach for a lot of dynamics arising from different areas like biology, economics, or engineering. The Lü system was first proposed by Lü and Chen as a model of a nonlinear electrical circuit, and it was studied from various points of view. We study it from the mechanical geometry point of view and point out some of its geometrical and dynamical properties.
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 5904923
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/842325
OpenAlex ID: W2055285804
Wikidata QID: Q58693589
cites work: Poisson structure of dynamical systems with three degrees of freedom
cites work: Q3584432
cites work: DIFFERENTIAL GEOMETRY AND MECHANICS: APPLICATIONS TO CHAOTIC DYNAMICAL SYSTEMS
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: On the generalized Hamiltonian structure of 3D dynamical systems
cites work: Simple evaluation of Casimir invariants in finite-dimensional Poisson systems
cites work: Differential equations, dynamical systems, and an introduction to chaos
cites work: Equivalence of energy methods in stability theory
cites work: Periodic orbits in the case of a zero eigenvalue
description: scientific article; zbMATH DE number 5904923