Results 51 to 60 of about 1,422 (148)
Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems
Jaume Llibre +2 more
doaj
ABSTRACT Constraining Arctic catchment response to Holocene climate change is vital for understanding future environments. We present detailed sedimentological, geochemical and grain size end‐member analysis of two Holocene (~7.0 ka to present) lake sequences, S1 and S2, close to Zackenberg, Northeast Greenland.
Kathryn Adamson +6 more
wiley +1 more source
Limit cycles in piecewise smooth perturbations of a quartic isochronous center
This article concerns the bifurcation of limit cycles from a quartic integrable and non-Hamiltonian system. By using the first order averaging method and some mathematical technique on estimating the number of the zeros, we show that under a class of ...
Haifeng Song, Linping Peng, Yong Cui
doaj
We present a 25‐stage reconstruction of the ice‐flow pattern evolution of the Scandinavian Ice Sheet based on mapping and analysis of ~240 000 subglacial lineations and lineation fields across Norway, Sweden, Finland, and parts of NW Russia. Our reconstruction uses a glacial geomorphological inversion approach, in which we generated 611 individual ...
Frances E. G. Butcher +9 more
wiley +1 more source
Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
The authors study plane time-reversible differential systems of the type \(\dot x= -y+ X_5(x,y)\), \(\dot y= x+ Y_5(x,y)\), where \(X_5\), \(Y_5\) are homogeneous polynomials of degree 5. They look for necessary and sufficient conditions for the origin to be an isochronous center.
Chavarriga, J., Giné, J., García, I.A.
openaire +2 more sources
We study the number of limit cycles that bifurcate from the periodic solutions surrounding a uniform isochronous center located at the origin of the quartic polynomial differential system $$ \dot{x}=-y+xy(x^2+y^2),\quad \dot{y}=x+y^2(x^2+y^2 ...
Jackson Itikawa, Jaume Llibre
doaj
Polyrhythm Perception and Production: A Scoping Review
Findings from 64 empirical polyrhythm studies, comprising 96 experiments, indicate that these studies focus on simple ratios and auditory stimuli, and rely on relatively small sample sizes. We conclude that polyrhythmic complexity can be roughly estimated using ratio sum and Farey trees, that tempo influences beat perception within the constraints of a
Patti Nijhuis +3 more
wiley +1 more source
A class of ninth degree system with four isochronous centers
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chaoxiong Du, Yirong Liu, Heilong Mi
openaire +2 more sources
Determination of Magnet Specification of 13 MeV Proton Cyclotron Based on Opera 3D
The magnet is one of the main components of a cyclotron, used to form a circular particle beam trajectories and to provide focusing of the beam. To support the mastery of 13-MeV proton cyclotron technologies, cyclotron magnet design must be done to ...
Taufik +3 more
doaj
Darboux Linearization and Isochronous Centers with a Rational First Integral
The authors consider the following planar system \[ \dot x = -y + \sum_{i+j=2}^{n} a_{ij}x^i y^j ,\quad \dot y = x + \sum_{i+j=2}^{n} b_{ij}x^i y^j ,\quad\quad (x,y)\in \mathbb{R}^2 \tag{1} \] where \(a_{ij}\) and \(b_{ij}\) are real numbers. Let the system (1) has a center, and let \(T\) be a period-function, i.e.
Mardešić, P. +2 more
openaire +2 more sources

