27 citations · 58 across the 7 of their papers we have counts for
7 papers
Convergence Rates for Semistochastic Processes
James Broda, Alexander Grigo, Nikola P. Petrov
We study processes that consist of deterministic evolution punctuated at random times by disturbances with random severity; we call such processes semistochastic. Under appropriate…
Boundaries of Siegel disks - numerical studies of their dynamics and regularity
Rafael de la Llave, Nikola P. Petrov
Siegel disks are domains around fixed points of holomorphic maps in which the maps are locally linearizable (i.e., become a rotation under an appropriate change of coordinates whic…
Regularity properties of critical invariant circles of twist maps, and their universality
Arturo Olvera, Nikola P. Petrov
We compute accurately the golden critical invariant circles of several area-preserving twist maps of the cylinder. We define some functions related to the invariant circle and to t…
Energy Dissipation in Fractal-Forced Flow
Alexey Cheskidov, Charles R. Doering, Nikola P. Petrov
The rate of energy dissipation in solutions of the body-forced 3-d incompressible Navier-Stokes equations is rigorously estimated with a focus on its dependence on the nature of th…
Dynamical Casimir effect in a periodically changing domain: A dynamical systems approach
Nikola P. Petrov
We study the problem of the behavior of a quantum massless scalar field in the space between two parallel infinite perfectly conducting plates, one of them stationary, the other mo…
Low-wavenumber forcing and turbulent energy dissipation
Charles R. Doering, Nikola P. Petrov
A popular method of forcing the fluid in Direct Numerical Simulations of turbulence is to take the body force proportional to the projection of the velocity of the fluid onto its l…