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The current-voltage characteristic of the narrow superconducting channel is investigated by direct numerical integration of the time-dependent Ginzburg-Landau equations. We have demonstrated that the steps in the current-voltage characteristic correspond to a number of different bifurcation points of the time-dependent Ginzburg-Landau equations. We have analytically estimated the period and the averaged voltage of the oscillating solution for the relatively small currents. We have also found the range of currents where the system transforms to the chaos.
13. M. Lu-Dac, V.V. Kabanov, Phys. Rev. B 79, 184521 (2009)
14. Yu.A. Kuznetsov, Elements of Applied Bifurcation Theory, Applied Mathematical Science, Vol. 112, Springer-Verlag, New York 2004
15. V.S. Anishchenko, Dynamical Chaos - Models and Experiments. Appearance Routes and Structure of Chaos in Simple Dynamical Systems, World Sci. Publ. Co, Singapore 1995