Higher-order effects on shapiro steps in josephson junctions

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 1, 1999, Pages 58-61

  Rasmussen, K ^a   Zharnitsky, Vadim ^a   Mitkov, Igor ^a   Grønbech Jens, Niels ^a  

^a CENTER FOR NONLINEAR STUDIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243470606     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.58     Document Type: Article

References (19)

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19. It is important to apply the normal form procedure, see the Appendix, to the system of two first order ODEs for (Formula presented) rather than to the original second order ODE for (Formula presented) The reason is that the group of transformations which are used to move rapidly oscillating terms to higher order must be sufficiently large. In the first case we obtain the averaged equations by transforming (Formula presented) see the Appendix. In the second case it is impossible to arrive at the same result as the transformations of only one variable (Formula presented) do not give enough freedom. This is another manifestation of the well known fact that transformations in configuration space form a subgroup of canonical transformations in phase space.