Manifestation of Resonance-Related Chaos in Coupled Josephson Junctions

Chaotic features of systems of coupled Josephson junctions are studied. Manifestation of chaos in the temporal dependence of the electric charge, related to a parametric resonance, is demonstrated through the calculation of the maximal Lyapunov exponent, phase-charge and charge-charge Lissajous diagrams and correlation functions. The number of junctions in the stack strongly influences the fine structure in the current voltage characteristics and a strong proximity effect results from the nonperiodic boundary conditions. The observed resonance-related chaos exhibits intermittency over a range of conditions and parameters. General features of the system are analyzed by means of a linearized equation and the criteria for a breakpoint region with no chaos are obtained. Such criteria could clarify recent experimental observations of variations in the power output from intrinsic Josephson junctions in high temperature superconductors.Comment: 13 pages, 16 figure

Energy methods in calculation for strength wear of metal constructions of agricultural machines using computers

В статті подано опис методів, що дозволяють полегшити розрахунки несучих конструкцій. Ці методи базуються на використанні основних концепцій енергії деформації і додаткової енергії і носять назву енергетичних. Як приклад наведено використання методу мінімуму потенціальної енергії для розрахунку крайньої секції штанги обприскувача ОПШ-15-01.In the article the description of methods which allow to facilitate the calculation of bearing constructions is given. These methods are based on the use of basic conceptions of energy of deformation and additional energy and carry the name of power. How an example is, the use of method of minimum of potential energy arises up for the calculation of the last section of barbell sprinkler OPSh-15-01