caa a22 4500 477036929 CHVBK 20180405111307.0 cr unu---uuuuu 170330e19960101xx s 000 0 eng 10.1007/BF02433811 doi (NATIONALLICENCE)springer-10.1007/BF02433811 Semirotors in the Josephson junction equations [Elektronische Daten] [D. Aronson, M. Krupa, P. Ashwin] Summary: We consider the dynamics of arrays ofN-series coupled Josephson junctions, under pure resistive and capacitive loads. In the limit of the junction capacitance becoming large, we prove the existence of semirotor solutions. These are periodic solutions in which the phase difference across the gap ink of the junctions oscillates with small amplitude while the remainingN—k phase differences increase by 2π radians per period. We investigate the stability of these solutions and report observations of chaotic behavior associated with these solutions. Springer-Verlag New York Inc., 1996 Aronson D. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA aut Krupa M. Institute for Applied and Numerical Mathematics, Technical University of Vienna, Wiedner Hauptstrasse 8-10/115/1, 1040, Vienna, Austria aut Ashwin P. Institut Non Linéaire de Nice, 1361 Route de Lucioles, Sophia-Antipolis, 06560, Valbonne, France aut Journal of Nonlinear Science Springer-Verlag 6/1(1996-01-01), 85-103 0938-8974 6:1<85 1996 6 332 https://doi.org/10.1007/BF02433811 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02433811 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aronson D. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA aut NATIONALLICENCE 700 1- Krupa M. Institute for Applied and Numerical Mathematics, Technical University of Vienna, Wiedner Hauptstrasse 8-10/115/1, 1040, Vienna, Austria aut NATIONALLICENCE 700 1- Ashwin P. Institut Non Linéaire de Nice, 1361 Route de Lucioles, Sophia-Antipolis, 06560, Valbonne, France aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 6/1(1996-01-01), 85-103 0938-8974 6:1<85 1996 6 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer