Go to content
UR Home

Effect of pitchfork bifurcations on the spectral statistics of Hamiltonian systems

Gutiérrez, Martha, Richter, Klaus, Sugita, Ayumu and Brack, Matthias (2007) Effect of pitchfork bifurcations on the spectral statistics of Hamiltonian systems. Journal of Physics A: Mathematical and Theoretical 40, pp. 1525-1543.

[img]PDF - Published Version
Download (2MB) - Repository staff only
[img]
Preview
PDF - Accepted Version
arXiv PDF (10.01.2007)
Download (2MB)
[img]
Preview
PDF - Submitted Version
arXiv PDF (23.10.2006)
Download (2MB)
Date of publication of this fulltext: 05 Aug 2009 13:34

at publisher (via DOI)

at arXiv

Other URL: http://www.iop.org/EJ/abstract/-search=21386496.4/1751-8121/40/7/007


Abstract

We present a quantitative semiclassical treatment of the effects of bifurcations on the spectral rigidity and the spectral form factor of a Hamiltonian quantum system defined by two coupled quartic oscillators, which on the classical level exhibits mixed phase space dynamics. We show that the signature of a pitchfork bifurcation is two-fold: beside the known effect of an enhanced periodic orbit ...

plus


Export bibliographical data



Item type:Article
Date:30 January 2007
Institutions:Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack
Projects:Graduiertenkolleg Nichtlinearität und Nichtgleichgewicht
Identification Number:
ValueType
10.1088/1751-8113/40/7/007DOI
nlin.CD/0610042arXiv ID
Related URLs:
URLURL Type
http://arxiv.org/pdf/nlin.CD/0610042Preprint
Classification:
NotationType
03.65.SqPACS
05.45.MtPACS
Dewey Decimal Classification:500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:1901
Owner only: item control page

Downloads

Downloads per month over past year

  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de

Dissertations: dissertationen@ur.de

Research data: daten@ur.de

Contact persons