130,519 research outputs found

    Simulation of Chua's Circuit by Means of Interval Analysis

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    The Chua's circuit is a paradigm for nonlinear scientific studies. It is usually simulated by means of numerical methods under IEEE 754-2008 standard. Although the error propagation problem is well known, little attention has been given to the relationship between this error and inequalities presented in Chua's circuit model. Taking the average of round mode towards +∞+\infty and −∞-\infty, we showed a qualitative change on the dynamics of Chua's circuit.Comment: 6th International Conference on Nonlinear Science and Complexity - S\~ao Jos\'e dos Campos, 2016, p. 1-

    A coordinate-dependent superspace deformation from string theory

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    Starting from a type II superstring model defined on R2,2×CY6R^{2,2}\times CY_6 in a linear graviphoton background, we derive a coordinate dependent CC-deformed N=1{\cal N}=1, d=2+2d=2+2 superspace. The chiral fermionic coordinates θ\theta satisfy a Clifford algebra, while the other coordinate algebra remains unchanged. We find a linear relation between the graviphoton field strength and the deformation parameter. The null coordinate dependence of the graviphoton background allows to extend the results to all orders in α′\alpha'.Comment: 14 pages, reference added, accepted for publication in JHE
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