A quasi-periodic minimal surface
نویسندگان
چکیده
we construct a properly embedded minimal surface in the flat product R × S which is quasi-periodic but is not periodic.
منابع مشابه
A Minimal Model of a Single-Reed Instrument Producing Quasi-Periodic Sounds
Single-reed instruments can produce multiphonic sounds when they generate quasi-periodic oscillations. The aim of this article is to identify a minimal model of a single reedinstrument producing quasi-periodic oscillations. To better understand the influence of model parameters on the production of quasi-periodic regimes, the mapping between parameters and quasi-periodic regimes is explicitly i...
متن کاملQuasi-periodic standing wave solutions of gravity-capillary water waves
We prove the existence and the linear stability of Cantor families of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable x) of a 2-dimensional ocean with infinite depth under the action of gravity and surface tension.
متن کاملSmall-scale instabilities in dynamical systems with sliding
We demonstrate with a minimal example that in Filippov systems (dynamical systemsgoverned by discontinuous but piecewise smooth vector fields) stable periodic motionwith sliding is not robust with respect to stable singular perturbations. We considera simple dynamical system that we assume to be a quasi-static approximationof a higher-dimensional system containing a fast sta...
متن کاملNon-periodic Riemann Examples with Handles
We show the existence of 1-parameter families of non-periodic, complete, embedded minimal surfaces in Euclidean space with infinitely many parallel planar ends. In particular we are able to produce finite genus examples and quasi-periodic examples of infinite genus.
متن کاملConstruction of quasi-periodic response solutions in forced strongly dissipative systems
We consider a class of ordinary differential equations describing one-dimensional quasiperiodically forced systems in the presence of large damping. We give a fully constructive proof of the existence of response solutions, that is quasi-periodic solutions which have the same frequency vector as the forcing. This requires dealing with a degenerate implicit function equation: we prove that the l...
متن کامل