Publications related to Feigenbaum constants

Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields

We establish a Chung-type law of the iterated logarithm and the exact local and uniform moduli of continuity for a large class of anisotropic Gaussian random fields with a harmonizable-type integral representation and the property of strong local nondeterm ...

INT STATISTICAL INST2023

The effects of Prandtl number on the nonlinear dynamics of Kelvin-Helmholtz instability in two dimensions

Jeremy Peter Parker

It is known that the pitchfork bifurcation of Kelvin-Helmholtz instability occurring at minimum gradient Richardson number Ri(m) similar or equal to 1/4 in viscous stratified shear flows can be subcritical or supercritical depending on the value of the Pra ...

Cambridge University Press2021

Programmable Multistable Mechanisms: Design, modeling, characterization and applications

Mohamed Gamal Abdelrahman Ahmed Zanaty

Multistable Mechanisms are mechanical devices having more than one stable state. Since these mechanisms can maintain different deformations with zero force, they are advantageous for low power environments such as wristwatches and medical devices. In this ...

EPFL2018

Mechanical oscillator

Simon Nessim Henein, Ilan Vardi, Mohammad Hussein Kahrobaiyan

wherein k1, k3, k5 . . . are constants and θ is an angle of inclination of said third axis (x, P) of said inertial body with respect to a direction of said third axis (xr) when said inertial body is in said resting position. ...

2018

Higher-order continuation method for the rigid-body kinematic design of compliant mechanisms

Simon Nessim Henein, Lennart Rubbert

Compliant mechanisms are of great interest in precision engineering. In this paper we propose a higher order continuation method to help their rigid-body kinematic design. The method helps to investigate the choice of a mechanism configuration through the ...

2017

Generalized Pickands constants and stationary max-stable processes

Sebastian Engelke

Pickands constants play a crucial role in the asymptotic theory of Gaussian processes. They are commonly defined as the limits of a sequence of expectations involving fractional Brownian motions and, as such, their exact value is often unknown. Recently, D ...

Springer Verlag2017

A New Framework for Distributed Submodular Maximization

Justin Dean Ward

A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. A lot of recent effort has been devoted to developing distributed algo ...

Ieee2016

Fiber connectivity and bifurcation diagrams of almost toric integrable systems

Tudor Ratiu

We describe the bifurcation diagrams of almost toric integrable Hamiltonian systems on a four dimensional symplectic manifold M, not necessarily compact. We prove that, under a weak assumption, the connectivity of the fibers of the induced singular Lagrang ...

Int Press Boston, Inc2015

Asymptotic Behavior of Solutions to the Helmholtz Equations with Sign Changing Coefficients

Hoài-Minh Nguyên

This paper is devoted to the study of the behavior of the unique solution u delta is an element of H-0(1)(Omega), as delta -> 0, to the equation div(s(delta)A del u(delta)) + k(2)s(0)Sigma u(delta) = s0 f in Omega, where Omega is a smooth connected bounded ...

American Mathematical Society2015

Secondary instability and tertiary states in rotating plane Couette flow

Tobias Schneider

Recent experimental studies have shown rich transition behaviour in rotating plane Couette flow (RPCF). In this paper we study the transition in supercritical RPCF theoretically by determination of equilibrium and periodic orbit tertiary states via Floquet ...

Cambridge University Press2014

Electrochemical assessment of water|ionic liquid biphasic systems towards cesium extraction from nuclear waste

Thomas James Stockmann, Zhifeng Ding

A room temperature ionic liquid (IL) composed of a quaternary alkylphosphonium (trihexyltetradecylphosphonium, P66614(+)) and tetrakis(pentafluorophenyl) borate anion (TB) was employed within a water| P66614TB (w|P66614TB or w|IL) biphasic system to evalua ...

Elsevier2014

Speciation-dependent kinetics of uranium(VI) bioreduction

Rizlan Bernier-Latmani, Harish Veeramani

The kinetics of uranium(VI) reduction by Shewanella oneidensis strain MR-1 was studied for varied pH and concentrations of dissolved inorganic carbon (DIC) and calcium. These are key variables affecting U(VI) speciation in aqueous systems. For all conditio ...

Taylor & Francis2011

The Hindmarsh-Rose neuron model: Bifurcation analysis and piecewise-linear approximations

This paper provides a global picture of the bifurcation scenario of the Hindmarsh-Rose model. A combination between simulations and numerical continuations is used to unfold the complex bifurcation structure. The bifurcation analysis is carried out by vary ...

American Institute of Physics2008

Efficient Protocols for Set Membership and Range Proofs

Rafik Chaabouni

We consider the following problem: Given a commitment to a value σ, prove in zero-knowledge that σ belongs to some discrete set Φ. The set Φ can perhaps be a list of cities or clubs; often Φ can be a numerical range such as [1, 220]. This problem arises in ...

Springer2008

Combinatorial synthesis of linearly condensed polycyclic compounds, including anthracyclinones, through tandem Diels-Alder additions

Pierre Vogel

Double exocyclic 1,3-dienes such as 2,3,5,6-tetramethylidene-7-oxabicyclo[2.2.1]heptane and its 1-substituted derivatives undergo two successive Diels-Alder additions with large reactivity difference between the addition of the first equivalent (k(1)) and ...

2008

Evaporation from three water bodies of diﬀerent sizes and climates: Measurements and scaling analysis

Marc Parlange, Shirit Cohen, Gabriel George Katul, Scott W. Tyler

Evaporation from small reservoirs, wetlands, and lakes continues to be a theoretical and practical problem in surface hydrology and micrometeorology because atmospheric ﬂows above such systems can rarely be approximated as stationary and planar-homogeneous ...

2008

Steady-state Solutions in Mathematical Models of Atrial Cell Electrophysiology and their Stability

Vincent Jacquemet

The steady states of the Fenton–Karma, the Courtemanche and the Nygren cell models were studied by determining the fixed points of the dynamical system describing their cell kinetics. The linear stability of the fixed points was investigated, as well as th ...

2007

Mesure des paramètres macroscopiques de réseaux uranium-eau légère : application à des réseaux non uniformes

Time dependent and independent measurements on a subcritical multiplying medium lead to the determination of the two group diffusion constants: k, L12, L22, l01, and l02. The measured values are related to these constants through five independent expressio ...

s.n.1968