Results 61 to 70 of about 1,998,384 (219)
Uniformly Hyperbolic Attractor of the Smale-Williams Type for a Poincaré Map in the Kuznetsov System [PDF]
SIAM Journal on Applied Dynamical Systems, 2010 We propose a general algorithm for computer assisted verification of uniform hyperbolicity for maps which exhibit a robust attractor. The method has been successfully applied to a Poincare map for a system of coupled nonautonomous van der Pol oscillators.
D. Wilczak
semanticscholar +1 more source
Laser &Photonics Reviews, EarlyView.Photonic neural networks are emerging as a powerful tool for analyzing light. The article reports a photonic deep random neural network that performs single‐shot low‐latency measurements of the state and degree of polarization with high accuracy. Using only a stack of glass diffusers on top of a small camera sensor, this neuromorphic polarization ...
Alessandro Petrini +2 more
wiley +1 more source
Relative Nielsen Numbers, Braids and Periodic Segments
Advanced Nonlinear Studies, 2017 The aim of this paper is to establish a connection between the method of period segments and the relative Nielsen fixed point theory. We prove that if W is a periodic segment over [0,T]{[0,T]} for the T-periodic semi-process Φ, then the Poincaré map P ...
Wójcik Klaudiusz
doaj +1 more source
Vibration-based methods for structural and machinery fault diagnosis based on nonlinear dynamics tools [PDF]
, 2012 This study explains and demonstrates the utilisation of different nonlinear-dynamics-based procedures for the purposes of structural health monitoring as well as for monitoring of robot ...
Manoach, Emil, Trendafilova, Irina
core
Lorenz-like flows: exponential decay of correlations for the Poincaré map, logarithm law, quantitative recurrence [PDF]
Ergodic Theory and Dynamical Systems, 2009 In this paper we prove that the Poincaré map associated to a Lorenz-like flow has exponential decay of correlations with respect to Lipschitz observables. This implies that the hitting time associated to the flow satisfies a logarithm law.
S. Galatolo, M. Pacifico
semanticscholar +1 more source
Generation of Optical Quasiparticles with Spin–Orbit Conversion in a Single Q‐Plate
Laser &Photonics Reviews, EarlyView.Spin‐Orbit conversion approach with a q‐plate for generating optical quasiparticles. ABSTRACT In this work, we detail a novel approach which can be used for the generation of optical quasiparticles. This process leverages both spin‐orbit conversion control with wavelength de‐tuning in a commercially available q‐plate.
Jingni Geng +3 more
wiley +1 more source
L3 Dynamics and Poincaré Maps in the Restricted Full Three Body Problem
Open Astronomy, 2012 Poincaré maps are a basic dynamical systems tool yielding information about the geometric structure of the phase space of the system. Poincaré maps are however time consuming to compute.
Pihajoki Pauli +3 more
doaj +1 more source
Generalised Poincar\'e series and embedded resolution of curves
, 2010 The purpose of this paper is to extend the notions of generalised Poincar\'e series and divisorial generalised Poincar\'e series (of motivic nature) introduced by Campillo, Delgado and Gusein-Zade for complex curve singularities to curves defined over ...
Moyano-Fernández, Julio José
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source