Results 41 to 50 of about 6,342,861 (330)

Non equilibrium dynamics of an optomechanical Dicke model

, 2015
Motivated by the experimental realization of Dicke model in optical cavities, we model an optomechanical system consisting of a two level BEC with transverse pumping.
Bhattacherjee, Aranya B., Debnath, Kamanasish   +1 more
core   +1 more source

Asymptotic integration of nonlinear systems of differential equations whose phase portrait is foliated on invariant tori

, 2000
We consider the class of autonomous systems $\dot x=f(x)$, where $x \in {\bf R}^{2n}$, $f \in C^1({\bf R}^{2n})$ whose phase portrait is a Cartesian product of $n$ two-dimensional {\em centres}. We also consider perturbations of this system, namely $\dot
Ilyin, Yuri A.
core   +1 more source

Phase Portraits of Planar Semi-Homogeneous Vector Fields (III) [PDF]

Qualitative Theory of Dynamical Systems, 1997
The authors study phase-portraits of semi-homogeneous plane vector fields of degrees \(1\) and \(3\), \[ \dot x= ax+ by,\quad \dot y= Ax^3+ Bx^2y+ Cxy^2+ Dy^3,\tag{1} \] with \(|a|+|b|\neq 0\) and \(|A|+|B|+|C|+|D|\neq 0\), and having only finitely many critical points.
Cairó, Laurent, Llibre, Jaume
openaire   +2 more sources

Rare Events Statistics in Reaction--Diffusion Systems

, 2004
We develop an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction--diffusion systems.
A. Kamenev, A. Okubo, Alex Kamenev, C. W. Gardiner, D. Mollison, J. D. Murray, J. Marro, J. Zinn-Justin, L. Peliti, N. G. Van Kampen, P. Grassberger, T. M. Liggett, V. I. Arnold, V. Volterra, Vlad Elgart, Yu. V. Nazarov   +15 more
core   +1 more source

Transparent Inorganic–Organic Bilayer Neural Electrode Array and Integration to Miniscope System for In Vivo Calcium Imaging and Electrophysiology

Advanced Functional Materials, EarlyView.
This study presents the BioCLEAR system, a highly transparent and conductive neural electrode array composed of silver nanowires (AgNWs) and doped PEDOT:PSS, enabling neural recordings with minimal optical artifacts. When integrated with a GRIN lens, this cost‐effective neural implant allows simultaneous electrophysiological recording and GCaMP6‐based ...
Dongjun Han, Kevin Cheng, Swathy Sampath Kumar, Anil Bollimunta, Elizabeth E. Torr, Juhwan Kim, Kyoungmin Kim, Hyungjun Choi, Seongkwon Hwang, Sarah Brodnick, David Cheng, Lindsay Gray, Yei Hwan Jung, William L. Murphy, Aaron J. Suminski, Jonathan J. Nassi, Justin C. Williams, Dong‐Wook Park   +17 more
wiley   +1 more source

Structurally unstable quadratic vector fields of codimension two: families possessing a finite saddle-node and an infinite saddle-node

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In 1998, Artés, Kooij and Llibre proved that there exist 44 structurally stable topologically distinct phase portraits modulo limit cycles, and in 2018 Artés, Llibre and Rezende showed the existence of at least 204 (at most 211) structurally unstable ...
Joan Artés, Marcos Mota, Alex Rezende
doaj   +1 more source

Analysis of Non-Linear Probabilistic Hybrid Systems

, 2011
This paper shows how to compute, for probabilistic hybrid systems, the clock approximation and linear phase-portrait approximation that have been proposed for non probabilistic processes by Henzinger et al.
Assouramou, Joseph, Desharnais, Josée
core   +2 more sources

Mechanochemistry‐Assisted Solvent‐Free Supramolecular Engineering for Atomic‐Layered Carbon Nitride Nanosheets with Enhanced Photocatalytic Hydrogen Evolution

Advanced Functional Materials, EarlyView.
A solvent‐free mechanochemistry‐enabled supramolecular engineering strategy is developed to directly synthesize covalent‐interconnected two‐dimensional atomic‐layered carbon nitride nanosheets photocatalyst, bypassing conventional top‐down exfoliation requirements.
Fanglei Yao, Jingwen Sun, Huiru Duan, Yongsheng Fu, Jin Wang, Liming Dai, Jingsan Xu, Junwu Zhu   +7 more
wiley   +1 more source

Non-conventional phase attractors and repellers in weakly coupled autogenerators with hard excitation

, 2017
In our earlier studies, we found the effect of non-conventional synchronization, which is a specific type of nonlinear stable beating in the system of two weakly coupled autogenerators with hard excitation given by generalized van der Pol-Duffing ...
Kovaleva, Margarita, Manevitch, Leonid, Pilipchuk, Valery   +2 more
core   +1 more source

Non-Singular Bouncing Universes in Loop Quantum Cosmology [PDF]

, 2006
Non-perturbative quantum geometric effects in Loop Quantum Cosmology predict a $\rho^2$ modification to the Friedmann equation at high energies. The quadratic term is negative definite and can lead to generic bounces when the matter energy density ...
A. Ashtekar, A. Ashtekar, C. Rovelli, G. V. Vereshchagin, G. V. Vereshchagin, Kevin Vandersloot, M. Bojowald, Parampreet Singh, T. Thiemann   +8 more
core   +3 more sources