Results 11 to 20 of about 1,215 (130)
Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers
Journal of Computational and Applied Mathematics, 2015 Agraïments: FEDER-UNAB10-4E-378. The second author is supported by a Ciência sem Fronteiras-CNPq grant number 201002/2012-4. Let p be a uniform isochronous cubic polynomial center. We study the maximum number of small or medium limit cycles that bifurcate from p or from the periodic solutions surrounding p respectively, when they are perturbed, either ...
Jaume Llibre, Jackson Itikawa
exaly +9 more sources
Journal of Applied Analysis & Computation, 2019 Summary: In this article, we study the maximum number of limit cycles for two classes of planar polynomial differential systems with uniform isochronous centers. Using the first-order averaging method, we analyze how many limit cycles can bifurcate from the period solutions surrounding the centers of the considered systems when they are perturbed ...
Huang, Bo, Niu, Wei
openaire +3 more sources
The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
Journal of Dynamical and Control SystemsIn this paper we study the topological phase portraits of polynomial differential systems with a uniform isochronous center, whose nonlinear parts are homogeneous polynomials of degree 6. We obtain all the distinct topological phase portraits in the Poincaré disc. For each phase portrait, we give a precise system to realize it.
Dong, Guangfeng, Llibre, Jaume
openaire +4 more sources
Periodic oscillators, isochronous centers and resonance [PDF]
, 2018 An oscillator is called isochronous if all motions have a common period. When the system is forced by a time-dependent perturbation with the same period the dynamics may change and the phenomenon of resonance can appear.
Ortega, Rafael, Rojas, David
core +2 more sources
Semiclassical quantization of the hydrogen atom in crossed electric and magnetic fields [PDF]
, 2002 The S-matrix theory formulation of closed-orbit theory recently proposed by Granger and Greene is extended to atoms in crossed electric and magnetic fields.
A. Matzkin +41 more
core +2 more sources
Acoustic foundations of the speech-to-song illusion [PDF]
, 2018 In the “speech-to-song illusion”, certain spoken phrases are heard as highly song-like when isolated from context and repeated. This phenomenon occurs to a greater degree for some stimuli than for others, suggesting that particular cues prompt listeners ...
Aniruddh, P., Breen, M., Tierney, Adam
core +1 more source
Melodic Accent as an Emergent Property of Tonal Motion [PDF]
, 2010 In a previous continuation tapping study (Ammirante, Thompson, & Russo, in press), each tap triggered a discrete tone in a sequence randomly varying in pitch height and contour.
Ammirante, Paolo +1 more
core +3 more sources
, 2019 This paper introduces an algorithmic approach to the analysis of bifurcation of limit cycles from the centers of nonlinear continuous differential systems via the averaging method. We develop three algorithms to implement the averaging method.
Bautin Nikolai N. +5 more
core +1 more source
Situational influences on rhythmicity in speech, music, and their interaction. [PDF]
, 2014 Brain processes underlying the production and perception of rhythm indicate considerable flexibility in how physical signals are interpreted. This paper explores how that flexibility might play out in rhythmicity in speech and music.
Hawkins, Sarah
core +1 more source
Advanced Functional Materials, EarlyView.Here, we present a high‐density PEDOT eutectogel electrode array for enhanced body surface gastric mapping. Silver electrodes are blade‐coated onto flexible substrates, followed by electrogelation of PEDOT:PSS and the deposition of a PEDOT:LS eutectogel.
Christopher Slaughter +8 more
wiley +1 more source