liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Hamiltonian Hopf bifurcations in the discrete nonlinear Schrodinger trimer: oscillatory instabilities, quasi-periodic solutions and a new type of self-trapping transition
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics . Linköping University, The Institute of Technology.ORCID iD: 0000-0001-6708-1560
2004 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 37, no 6, 2201-2222 p.Article in journal (Refereed) Published
Abstract [en]

Oscillatory instabilities in Hamiltonian anharmonic lattices are known to appear through Hamiltonian Hopf bifurcations of certain time-periodic solutions of multibreather type. Here, we analyse the basic mechanisms for this scenario by considering the simplest possible model system of this kind where they appear: the three-site discrete nonlinear Schrodinger model with periodic boundary conditions. The stationary solution having equal amplitude and opposite phases on two sites and zero amplitude on the third is known to be unstable for an interval of intermediate amplitudes. We numerically analyse the nature of the two bifurcations leading to this instability and find them to be of two different types. Close to the lower-amplitude threshold stable two-frequency quasi-periodic solutions exist surrounding the unstable stationary solution, and the dynamics remains trapped around the latter so that in particular the amplitude of the originally unexcited site remains small. By contrast, close to the higher-amplitude threshold all two-frequency quasi-periodic solutions are detached from the unstable stationary solution, and the resulting dynamics is of population-inversion type involving also the originally unexcited site.

Place, publisher, year, edition, pages
2004. Vol. 37, no 6, 2201-2222 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-53534DOI: 10.1088/0305-4470/37/6/017OAI: diva2:289476
Available from: 2010-01-25 Created: 2010-01-25 Last updated: 2014-01-13

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Johansson, Magnus
By organisation
Theoretical Physics The Institute of Technology
In the same journal
Journal of Physics A: Mathematical and General
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 53 hits
ReferencesLink to record
Permanent link

Direct link