Publications related to Limit set

Strong Subconvexity for Self-Dual GL(3) L-Functions

Yongxiao Lin, Ramon Moreira Nunes, Zhi Qi

In this paper, we prove strong subconvexity bounds for self-dual GL(3) L-functions in the t-aspect and for GL(3) x GL(2) L-functions in the GL(2)-spectral aspect. The bounds are strong in the sense that they are the natural limit of the moment method pione ...

OXFORD UNIV PRESS2022

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

Amit Yedidia Dolev

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, Ilaria Lauzana, Farshad Khadivar

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 ...

Elsevier2021

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 ...

2021

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

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 ...

American Physical Society2017

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

A General Family of Morphed Nonlinear Phase Oscillators with Arbitrary Limit Cycle Shape

Auke Ijspeert, Mostafa Ajallooeian, Jesse van den Kieboom

We present a general family of nonlinear phase oscillators which can exhibit arbitrary limit cycle shapes and infinitely large basins of attraction. This general family is the superset of familiar control methods like PD-control over a periodic reference, ...

Elsevier Science Bv2013

Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors

Auke Ijspeert

Nonlinear dynamical systems have been used in many disciplines to model complex behaviors, including biological motor control, robotics, perception, economics, traffic prediction, and neuroscience. While often the unexpected emergent behavior of nonlinear ...

Massachusetts Institute of Technology Press2013

Measurement of e(+)e(-) -> omega pi(0), K(892)(K)over-bar and K-2(1430)(K)over-bar at root s near 10.6 GeV

Olivier Schneider, Yiming Li, Chao Wang, Tagir Aushev, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta, Xiao Wang

Using data samples of 89 fb(-1), 703 fb(-1), and 121 fb(-1) collected with the Belle detector at the KEKB asymmetric-energy e(+)e(-) collider at center-of-mass energies 10.52 GeV, 10.58 GeV, and 10.876 GeV, respectively, we study the exclusive reactions e( ...

American Physical Society2013

The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points

Jean-Yves Le Boudec

Assume that a stochastic process can be approximated, when some scale parameter gets large, by a fluid limit (also called mean field limit", or hydrodynamic limit"). A common practice, often called the ``fixed point approximation" consists in approxima ...

2013

A Dynamical System Approach to Realtime Obstacle Avoidance

Aude Billard, Seyed Mohammad Khansari Zadeh

This paper presents a novel approach to real-time obstacle avoidance based on dynamical systems (DS) that ensures impenetrability of multiple convex shaped objects. The proposed method can be applied to perform obstacle avoidance in Cartesian and Joint spa ...

Springer Verlag2012

Networks of Self-Adaptive Dynamical Systems

Max-Olivier Hongler, Julio Rodriguez

We discuss the adaptive behaviour of a collection of heterogeneous dynamical systems interacting via a weighted network. At each vertex, the network is endowed with a dynamical system with individual (initially different) control parameters governing the l ...

Oxford University Press2012

Multistability of twisted states in non-locally coupled Kuramoto-type models

Martin Hasler

A ring of N identical phase oscillators with interactions between L-nearest neighbors is considered, where L ranges from 1 (local coupling) to N/2 (global coupling). The coupling function is a simple sinusoid, as in the Kuramoto model, but with a minus sig ...

American Institute of Physics2012

Networks of Self-Adaptive Dynamical Systems

Julio Rodriguez

The present work belongs to the vast body of research devoted to behaviors that emerge when homogeneous or heterogeneous agents interact. We adopt a stylized point of view in which the individual agents' activities can be assimilated into nonlinear dynamic ...

EPFL2011

On Spatially Explicit Models of Cholera Epidemics

Andrea Rinaldo, Enrico Bertuzzo, Marino Gatto

We generalize a recently proposed model for cholera epidemics that accounts for local communities of susceptibles and infectives in a spatially explicit arrangement of nodes linked by networks having different topologies. The vehicle of infection (Vibrio c ...

2010

Adaptive Frequency Oscillators and Applications

Auke Ijspeert, Jonas Buchli, Ludovic Righetti

In this contribution we present a generic mechanism to transform an oscillator into an adaptive frequency oscillator, which can then dynamically adapt its parameters to learn the frequency of any periodic driving signal. Adaptation is done in a dynamic way ...

2009

Biologically inspired CPG based above knee active prosthesis

Auke Ijspeert

The objective of the work presented here is to develop a low cost active knee prosthetic devices as real time embedded system which utilizes the available biological motor control circuit properly integrated with a Central Pattern Generator (CPG) aided con ...

2008

Singularly perturbed piecewise deterministic games

Alain Haurie

In this paper we consider a class of hybrid stochastic games with the piecewise open-loop information structure. These games are indexed over a parameter

\varepsilon

which represents the time scale ratio between the stochastic (jump process) and the dete ...

Society for Industrial and Applied Mathematics2008