Publications related to Periodic point

Characterization of circulating breast cancer cells with tumorigenic and metastatic capacity

Cathrin Brisken, Georgios Sflomos, Laura Battista

Functional studies giving insight into the biology of circulating tumor cells (CTCs) remain scarce due to the low frequency ofCTCs and lack of appropriate models. Here, we describe the characterization of a novelCTC-derived breast cancer cell line, designa ...

WILEY2020

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

Exponentially long orbits in Hopfield neural networks

Wulfram Gerstner, Johanni Michael Brea, Samuel Pavio Muscinelli

We show that Hopfield neural networks with synchronous dynamics and asymmetric weights admit stable orbits that form sequences of maximal length. For N units, these sequences have length T = 2^N; that is, they cover the full state space. We present a mathe ...

Massachusetts Institute of Technology Press2017

A self-consistent model for the saturation dynamics of the vortex shedding around the mean flow in the unstable cylinder wake

François Gallaire, Cristobal Manuel Arratia Martinez, Vladislav Mantic Lugo

The supercritical instability leading to the Benard-von Karman vortex street in a cylinder wake is a well known example of supercritical Hopf bifurcation: the steady solution becomes linearly unstable and saturates into a periodic limit cycle. Nonetheless, ...

Amer Inst Physics2015

Control and Learning of Compliant Manipulation Skills

Klas Jonas Alfred Kronander

Humans demonstrate an impressive capability to manipulate fragile objects without damaging them, graciously controlling the force and position of hands or tools. Traditionally, robotics has favored position control over force control to produce fast, accur ...

EPFL2015

The temporal patterns of disease severity and prevalence in schistosomiasis

Andrea Rinaldo, Lorenzo Mari, Marino Gatto

Schistosomiasis is one of the most widespread public health problems in the world. In this work, we introduce an eco-epidemiological model for its transmission and dynamics with the purpose of explaining both intra-and inter-annual fluctuations of disease ...

American Institute of Physics2015

Floquet theory for seasonal environmental forcing of spatially explicit waterborne epidemics

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Mari, Marino Gatto

The transmission of waterborne pathogens is a complex process that is heavily linked to the spatial characteristics of the underlying environmental matrix as well as to the temporal variability of the relevant hydroclimatological drivers. In this work, we ...

Springer Heidelberg2014

Studying edge geometry in transiently turbulent shear flows

Tobias Schneider

In linearly stable shear flows at moderate Reynolds number, turbulence spontaneously decays despite the existence of a codimension-one manifold, termed the edge, which separates decaying perturbations from those triggering turbulence. We statistically anal ...

Cambridge University Press2014

Increasing Lifetimes and the Growing Saddles of Shear Flow Turbulence

Tobias Schneider, Tobias Klaus Kreilos

In linearly stable shear flows, turbulence spontaneously decays with a characteristic lifetime that varies with Reynolds number. The lifetime sharply increases with Reynolds number so that a possible divergence marking the transition to sustained turbulenc ...

American Physical Society2014

Periodic point

Graph Chatbot

Chat with Graph Search

Characterization of circulating breast cancer cells with tumorigenic and metastatic capacity

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Computing heteroclinic orbits using adjoint-based methods

Exponentially long orbits in Hopfield neural networks

A self-consistent model for the saturation dynamics of the vortex shedding around the mean flow in the unstable cylinder wake

Control and Learning of Compliant Manipulation Skills

The temporal patterns of disease severity and prevalence in schistosomiasis

Floquet theory for seasonal environmental forcing of spatially explicit waterborne epidemics

Studying edge geometry in transiently turbulent shear flows

Increasing Lifetimes and the Growing Saddles of Shear Flow Turbulence

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Characterization of circulating breast cancer cells with tumorigenic and metastatic capacity

Computing heteroclinic orbits using adjoint-based methods

Exponentially long orbits in Hopfield neural networks

Control and Learning of Compliant Manipulation Skills

The temporal patterns of disease severity and prevalence in schistosomiasis

Floquet theory for seasonal environmental forcing of spatially explicit waterborne epidemics

A self-consistent model for the saturation dynamics of the vortex shedding around the mean flow in the unstable cylinder wake

Increasing Lifetimes and the Growing Saddles of Shear Flow Turbulence

Studying edge geometry in transiently turbulent shear flows