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Showing 1 to 5 of 5 for “"Quadratic differential"”.
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Quadratic Differential Systems for Mathematical Models
Made available in DSpace on 2014-12-09T22:17:30Z (GMT). No. of bitstreams: 1 6612355.pdf: 3897204 bytes, checksum: 985a1adb7e02bb5e4c0c5f8ebae2e606 (MD5) Previous issue date: 1966
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Energy methods for lossless systems using quadratic differential forms
… of lossless systems using the concept of quadratic differential forms (QDFs). Based on observation of physical linear lossless systems, we define a lossless system as one for which there exists a QDF known as an energy function that is positive along nonzero trajectories of the system and …
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Second-Order Relative Motion Equations
… a circular orbit. Only terms that are linear or quadratic in state variables are kept in the expansion. A perturbation method is employed to obtain an approximate solution of the resulting nonlinear differential equations. This new solution is compared with the previously known solution of the …
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Floer theory and spectral networks
… map and Floer theory. Given a complete GMN quadratic differential $\phi$ defined on a closed Riemann surface $C$, let $\tilde{C}$ be the complement of the poles of $\phi$. In the case where the spectral curve $\Sigma_{\phi}$ is exact with respect to the canonical Liouville form on …
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Rigidity of length functions over strata of flat metrics
… we consider strata of flat metrics coming from quadratic differentials (semi-translation structures) on surfaces of finite type. We provide a necessary and sufficient condition for a set of simple closed curves to be spectrally rigid over a stratum with enough complexity, extending a result of …