Digital Library
Close Browse articles from a journal
 
<< previous    next >>
     Journal description
       All volumes of the corresponding journal
         All issues of the corresponding volume
           All articles of the corresponding issues
                                       Details for article 15 of 114 found articles
 
 
  Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero
 
 
Title: Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero
Author: Wagenknecht, Thomas
Appeared in: Dynamical systems
Paging: Volume 17 (2002) nr. 1 pages 29-44
Year: 2002-03-01
Contents: Bifurcations are studied from a fixed point with fourfold eigenvalue zero occurring in a two degrees of freedom Hamiltonian system of second-order ordinary differential equations (ODEs) which is additionally reversible with respect to two different linear involutions. Using techniques from Catastrophe Theory we are led to a codimension 2 problem and obtain two different unfoldings of the singularity related to the hyperbolic and elliptic umbilic, respectively. The analysis of the unfolded systems is essentially concerned with the existence and properties of homoclinic and heteroclinic orbits. The studies are motivated by a problem from nonlinear optics concerning the existence of solitons in a χ2-medium.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 15 of 114 found articles
 
<< previous    next >>
 
 Koninklijke Bibliotheek - National Library of the Netherlands
Toegankelijkheidsverklaring