Publications related to Periodic point

Swirling against the forcing: Evidence of stable counterdirected sloshing waves in orbital-shaken reservoirs

François Gallaire, Alessandro Bongarzone, Alice Evelyne Julienne Marcotte

We investigate the response of the free liquid surface in a partially filled circular cylindrical container undergoing a planar elliptic and time-periodic orbit while maintaining fixed its orientation. For small forcing amplitudes and deep liquid layers, w ...

College Pk2023

Signatures of a sampling quantum advantage in driven quantum many-body systems

A crucial milestone in the field of quantum simulation and computation is to demonstrate that a quantum device can perform a computation task that is classically intractable. A key question is to identify setups that can achieve such goal within current te ...

IOP Publishing Ltd2023

Invariant tori in dissipative hyperchaos

Tobias Schneider, Jeremy Peter Parker

One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non-chaotic yet dynamically unstable invariant solutions embedded in the system's chaotic attractor. The significance of zero-dimensional unstable fixed points ...

AIP Publishing2022

Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method

Tobias Schneider, Sajjad Azimi, Omid Ashtari

Chaotic dynamics in systems ranging from low-dimensional nonlinear differential equations to high-dimensional spatiotemporal systems including fluid turbulence is supported by nonchaotic, exactly recurring time-periodic solutions of the governing equations ...

2022

Koopmans Spectral Functionals in Periodic Boundary Conditions

Nicola Marzari, Nicola Colonna, Edward Baxter Linscott, Riccardo De Gennaro

Koopmans spectral functionals aim to describe simultaneously ground-state properties and charged excitations of atoms, molecules, nanostructures, and periodic crystals. This is achieved by augmenting standard density functionals with simple but physically ...

AMER CHEMICAL SOC2022

Learning dynamical systems with bifurcations

Aude Billard, Farshad Khadivar, Ilaria Lauzana

Trajectory planning through dynamical systems (DS) provides robust control for robots and has found numerous applications from locomotion to manipulation. However, to date, DS for controlling rhythmic patterns are distinct from DS used to control point to ...

2021

Periodic orbits exhibit oblique stripe patterns in plane Couette flow

Tobias Schneider, Florian Reetz

Spatiotemporally chaotic dynamics of transitional plane Couette flow may give rise to regular turbulent-laminar stripe patterns with a large-scale pattern wavelength and an oblique orientation relative to the laminar flow direction. A recent dynamical syst ...

AMER PHYSICAL SOC2021

Invariant solutions underlying small- and large-scale structures in turbulent boundary layers

Sajjad Azimi

Flows of gases and liquids interacting with solid objects are often turbulent within a thin boundary layer. As energy dissipation and momentum transfer are dominated by the boundary layer dynamics, many engineering applications can benefit from an improved ...

EPFL2020

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Florian Karl Richter

A set

R\subset \mathbb{N}

is called rational if it is well approximable by finite unions of arithmetic progressions, meaning that for every

\unicode[STIX]{x1D716}>0

there exists a set

B=\bigcup _{i=1}^{r}a_{i}\mathbb{N}+b_{i}

, where $a_{1},\ldots ,a_ ...

2019

Computing heteroclinic orbits using adjoint-based methods

Tobias Schneider, Mirko Farano

Transitional turbulence in shear flows is supported by a network of unstable exact invariant solutions of the Navier-Stokes equations. The network is interconnected by heteroclinic connections along which the turbulent trajectories evolve between invariant ...

CAMBRIDGE UNIV PRESS2018

Periodic point

Graph Chatbot

Chat with Graph Search

Swirling against the forcing: Evidence of stable counterdirected sloshing waves in orbital-shaken reservoirs

Signatures of a sampling quantum advantage in driven quantum many-body systems

Invariant tori in dissipative hyperchaos

Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method

Koopmans Spectral Functionals in Periodic Boundary Conditions

Learning dynamical systems with bifurcations

Periodic orbits exhibit oblique stripe patterns in plane Couette flow

Invariant solutions underlying small- and large-scale structures in turbulent boundary layers

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Computing heteroclinic orbits using adjoint-based methods

Swirling against the forcing: Evidence of stable counterdirected sloshing waves in orbital-shaken reservoirs

Koopmans Spectral Functionals in Periodic Boundary Conditions

Invariant tori in dissipative hyperchaos

Invariant solutions underlying small- and large-scale structures in turbulent boundary layers

Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Learning dynamical systems with bifurcations

Signatures of a sampling quantum advantage in driven quantum many-body systems

Periodic orbits exhibit oblique stripe patterns in plane Couette flow

Computing heteroclinic orbits using adjoint-based methods