Publications related to Limit set

Automatic locking of a parametrically resonating, base-excited, nonlinear beam

Described is a closed-loop control scheme capable of stabilizing a parametrically excited nonlinear structure in several vibration modes. By setting the relative phase between the spatially filtered response and the excitation, the open-loop unstable solut ...

SPRINGER2021

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

Stochasticity helps to navigate rough landscapes: comparing gradient-descent-based algorithms in the phase retrieval problem

Lenka Zdeborová, Francesca Mignacco

In this paper we investigate how gradient-based algorithms such as gradient descent (GD), (multi-pass) stochastic GD, its persistent variant, and the Langevin algorithm navigate non-convex loss-landscapes and which of them is able to reach the best general ...

IOP PUBLISHING LTD2021

Advances in the Soil-Structure Interaction Analysis -- from Surface Footings to Thermoactive Deep Foundations

Cristiano Garbellini

Mutual interactions between soil and foundation play a fundamental role in the overall behaviour of constructions. Therefore, it is not surprising that soil-structure interaction has been the subject of numerous research works. This doctoral thesis is a th ...

EPFL2021

Finding Second-Order Stationary Points in Constrained Minimization: A Feasible Direction Approach

Shaul Nadav Hallak

This paper introduces a method for computing points satisfying the second-order necessary optimality conditions for nonconvex minimization problems subject to a closed and convex constraint set. The method comprises two independent steps corresponding to t ...

SPRINGER/PLENUM PUBLISHERS2020

MATHICSE Technical Report : Generalized Parallel Tempering on Bayesian Inverse Problems

Fabio Nobile, Juan Pablo Madrigal Cianci

In the current work we present two generalizations of the Parallel Tempering algorithm, inspired by the so-called continuous-time Infinite Swapping algorithm. Such a method, found its origins in the molecular dynamics community, and can be understood as th ...

MATHICSE2020

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

Search for B -> h nu(nu)over-bar decays with semileptonic tagging at Belle

Olivier Schneider, Yiming Li, Mingkui Wang, Chao Wang, Tagir Aushev, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta

We present the results of a search for the rare decays B -> h nu(nu) over bar, where h stands for K+, K-S(0), K*(+); K*(0); pi(+); pi(0), rho(+) and rho(0). The results are obtained with 772 x 10(6) B (B) over bar pairs collected with the Belle detector at ...

Amer Physical Soc2017

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

Determination of Inner and Outer Bounds of Reachable Sets Through Subpavings

Francisco Fernandes Castro Rego

The computation of the reachable set of states of a given dynamic system is an important step to verify its safety during operation. There are different methods of computing reachable sets, namely interval integration, capture basin, methods involving the ...

2014

Limit set

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Automatic locking of a parametrically resonating, base-excited, nonlinear beam

Learning dynamical systems with bifurcations

Stochasticity helps to navigate rough landscapes: comparing gradient-descent-based algorithms in the phase retrieval problem

Advances in the Soil-Structure Interaction Analysis -- from Surface Footings to Thermoactive Deep Foundations

Finding Second-Order Stationary Points in Constrained Minimization: A Feasible Direction Approach

MATHICSE Technical Report : Generalized Parallel Tempering on Bayesian Inverse Problems

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Search for B -> h nu(nu)over-bar decays with semileptonic tagging at Belle

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

Determination of Inner and Outer Bounds of Reachable Sets Through Subpavings

Finding Second-Order Stationary Points in Constrained Minimization: A Feasible Direction Approach

Learning dynamical systems with bifurcations

Advances in the Soil-Structure Interaction Analysis -- from Surface Footings to Thermoactive Deep Foundations

Search for B -> h nu(nu)over-bar decays with semileptonic tagging at Belle

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

Determination of Inner and Outer Bounds of Reachable Sets Through Subpavings

Automatic locking of a parametrically resonating, base-excited, nonlinear beam

MATHICSE Technical Report : Generalized Parallel Tempering on Bayesian Inverse Problems

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Stochasticity helps to navigate rough landscapes: comparing gradient-descent-based algorithms in the phase retrieval problem