Results 21 to 30 of about 6,898 (176)

Limit cycles of perturbed global isochronous center

3C Tecnología_Glosas de innovación aplicadas a la pyme, 2022
We apply the averaging method of first order to study the maximum number of limit cycles of the ordinary differential systems of the form ¨x + x = ε (f1(x, y)y + f2 (x, y)) , ¨y + y = ε (g1(x, y)x + g2 (x, y)) , where f1(x, y) and g1(x, y) are real cubic polynomials; f2(x, y) and g2(x, y) are real quadratic polynomials.
Zouhair Diab, M. Teresa de Bustos, Miguel A. López, Raquel Martínez   +3 more
openaire   +1 more source

Relativistic Hydrodynamics for Heavy--Ion Collisions: Freeze--Out and Particle Spectra [PDF]

, 1996
We investigate freeze--out in hydrodynamic models for relativistic heavy--ion collisions. In particular, instantaneous freeze--out across a hypersurface of constant temperature (``isothermal'' freeze--out) is compared with that across a hypersurface at ...
Achenbach, Aichelin, Baym, Book, Boris, Bravina, Clare, Cooper, Cooper, Dirk H. Rischke, Grassi, Joachim A. Maruhn, Kajantie, Katscher, Katscher, Landau, Landau, Landau, Landau, Landau, Landau, Lee, Maruhn, Mishustin, Ornik, Rischke, Rischke, Rischke, Schneider, Sinyukov, Sorge, Srivastava, Staubo, Stefan Bernard, Strottman, Stöcker, Venugopalan, Waldhauser, Walter Greiner   +38 more
core   +2 more sources

Limit Cycles Coming from Some Uniform Isochronous Centers [PDF]

Advanced Nonlinear Studies, 2016
Abstract This article is about the weak 16th Hilbert problem, i.e. we analyze how many limit cycles can bifurcate from the periodic orbits of a given polynomial differential center when it is perturbed inside a class of polynomial differential systems. More precisely, we consider the uniform isochronous centers
Haihua Liang, Jaume Llibre, Joan Torregrosa   +2 more
openaire   +5 more sources

Center and isochronous center at infinity for differential systems

Bulletin des Sciences Mathématiques, 2004
Here, center and isochronous center conditions are investigated for differential systems at infinity. The authors give a suitable transformation by which infinity can be transferred into the origin. The properties of infinity are studied using well-known methods which are used for the origin.
Liu, Yirong, Huang, Wentao
openaire   +1 more source

P3b reflects periodicity in linguistic sequences [PDF]

, 2012
Temporal predictability is thought to affect stimulus processing by facilitating the allocation of attentional resources. Recent studies have shown that periodicity of a tonal sequence results in a decreased peak latency and a larger amplitude of the P3b
Abel, Cornelius Benjamin, Heinemann, Linda Verena, Kaiser, Jochen, Otterbein, Sascha, Schmidt-Kassow, Maren   +4 more
core   +3 more sources

Novel Approach to Inter-Onset-Interval Ratio Uncovers Music-Like Rhythmic Patterns in Budgerigar (Melopsittacus undulatus) Warble Song. [PDF]

Ann N Y Acad Sci
Recent work on non‐human animal vocalizations has offered new insights into rhythmicity. In an attempt to improve upon methods commonly used in animal rhythm research, we investigated the rhythmic structure of budgerigar song. Our proposed statistical approach showed rhythmicity in human music but not language, and uncovered non‐random structured ...
van der Aa J, Koliander G, Fitch WT, Hoeschele M.   +3 more
europepmc   +2 more sources

Self-Stimulated Undulator Radiation and its Possible Applications [PDF]

, 2010
We investigated the phenomena of self-stimulation of incoherent emission from an undulator installed in the linear accelerator or quasi-isochronous storage ring.
Bessonov, E. G., Gorbunkov, M. V., Mikhailichenko, A. A., Osipov, A. L., Vinogradov, A. V.   +4 more
core   +2 more sources

Global isochronous potentials

, 2013
We present a geometric characterization of the nonlinear smooth functions $V: R\to R$ for which the origin is a global isochronous center for the scalar equation $\ddot x=-V'(x)$.
Gorni, Gianluca, Zampieri, Gaetano
core   +1 more source

Center-focus and isochronous center problems for discontinuous differential equations

Discrete and Continuous Dynamical Systems, 2000
The authors study planar systems with a line of discontinuities. They use a geometrical proof to show a relation between the order of degeneracy of the critical point (\((m,k)\)-monodromic point) of the discontinuous differential equations and the degeneracy of the associated two smooth component differential equations.
Coll, B., Gasull, A., Prohens, R.
openaire   +2 more sources

The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems

Abstract and Applied Analysis, 2014
We study a class of quasi symmetric seventh degree systems and obtain the conditions that its two singular points can be two centers at the same step by careful computing and strict proof. In addition, the condition of an isochronous center is also given.
Du Chaoxiong
doaj   +1 more source