Abstract
We investigate the origin of fractional Shapiro steps in arrays consisting of a few overdamped Josephson junctions. We show that when the symmetry reduces the equations to that of a single junction equation, only integer steps appear. Otherwise, fractional steps will appear when the evolution equations contain second (or higher) order derivatives or non-sinusoidal terms. We make a point of distinguishing the last two possibilities in the generation of the fractional steps.
| Original language | English |
|---|---|
| Pages (from-to) | 407-416 |
| Number of pages | 10 |
| Journal | Journal of Nonlinear Mathematical Physics |
| Volume | 15 |
| Issue number | SUPPL.3 |
| DOIs | |
| State | Published - Oct 2008 |
Bibliographical note
Funding Information:Acknowledgments. A V and M R K wish to thank the organizers of the NEEDS conference for their hospitality, and IASBS for a grant that made their trip possible. A V also acknowledges the grant he received from NEEDS.
Funding
Acknowledgments. A V and M R K wish to thank the organizers of the NEEDS conference for their hospitality, and IASBS for a grant that made their trip possible. A V also acknowledges the grant he received from NEEDS.
| Funders |
|---|
| Cabinet for Health and Family Services Commission for Children with Special Health Care Needs |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
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