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

Direct link
KAM tori in 1D random discrete nonlinear Schrodinger model?
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics . Linköping University, The Institute of Technology.ORCID iD: 0000-0001-6708-1560
University of Crete.
CEA Saclay.
2010 (English)In: EPL, ISSN 0295-5075, Vol. 91, no 5Article in journal (Refereed) Published
Abstract [en]

We suggest that KAM theory could be extended for certain infinite-dimensional systems with purely discrete linear spectrum. We provide empirical arguments for the existence of square summable infinite-dimensional invariant tori in the random discrete nonlinear Schrodinger equation, appearing with a finite probability for a given initial condition with sufficiently small norm. Numerical support for the existence of a fat Cantor set of initial conditions generating almost periodic oscillations is obtained by analyzing i) sets of recurrent trajectories over successively larger time scales, and ii) finite-time Lyapunov exponents. The norm region where such KAM-like tori may exist shrinks to zero when the disorder strength goes to zero and the localization length diverges.

Place, publisher, year, edition, pages
EDP Sciences. , 2010. Vol. 91, no 5
National Category
Medical and Health Sciences
URN: urn:nbn:se:liu:diva-60251DOI: 10.1209/0295-5075/91/50001ISI: 000282123300001OAI: diva2:355829
Original Publication: Magnus Johansson, G Kopidakis and S Aubry, KAM tori in 1D random discrete nonlinear Schrodinger model?, 2010, EPL, (91), 5. Copyright: EDP Sciences. Available from: 2010-10-08 Created: 2010-10-08 Last updated: 2014-01-13

Open Access in DiVA

fulltext(400 kB)154 downloads
File information
File name FULLTEXT01.pdfFile size 400 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Johansson, Magnus
By organisation
Theoretical Physics The Institute of Technology
Medical and Health Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 154 downloads
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: 136 hits
ReferencesLink to record
Permanent link

Direct link