DSpace DSpace UPC
  Pàgina principal | Llistar continguts | Cerca avançada | Com participar-hi Català   Castellano   English  


Títol: Dynamics and bifurcation near the transition from stability to complex instability: an analytical approach using normal forms
Autor: Ollé Torner, Mercè
Pacha Andújar, Juan Ramón
Villanueva Castelltort, Jordi
Altres autors/autores: Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Matèries: Hamiltonian dynamical systems
Lagrangian functions
Hamiltonian systems
normal forms
complex instability
bifurcation
Hamilton, Sistemes de
Lagrange, Funcions de
Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
Tipus de document: Article
Descripció: We consider a Hamiltonian of three degrees of freedom and a family of periodic orbits with a transition from stability to complex instability, such that there is an irrational collision of the Floquet eigenvalues of opposite sign. We analize the local dynamics and the bifurcation phenomena linked to this transition. We study the resulting Hamiltonian Hopf-like bifurcation from an analy- tical point of view by means of normal forms. The existence of a bifurcating family of 2D tori is derived in both cases (direct and inverse bifur- cation) are described.
Altres identificadors i accés: http://hdl.handle.net/2117/1215
Disponible al dipòsit:E-prints UPC
Comparteix:


SFX Query

Tots els ítems dipositats a UPCommons estan protegits per drets d'autor.

 

Valid XHTML 1.0! Programari DSpace Copyright © 2002-2004 MIT and Hewlett-Packard Comentaris
Universitat Politècnica de Catalunya. Servei de Biblioteques, Publicacions i Arxius