Results 81 to 90 of about 6,898 (176)

Centers and isochronous centers of a class of quasi-analytic switching systems

Science China Mathematics, 2018
In this paper, we study the integrability and linearization of a class of quadratic quasi-analytic switching systems. We improve an existing method to compute the focus values and periodic constants of quasi-analytic switching systems. In particular, with our method, we demonstrate that the dynamical behaviors of quasi-analytic switching systems are ...
Li, Feng, Yu, Pei, Liu, Yirong, Liu, Yuanyuan   +3 more
openaire   +3 more sources

Perturbed rigidly isochronous centers and their critical periods

Journal of Mathematical Analysis and Applications, 2017
Consider a planar system which has a center at the origin. Call \(T(\eta)\) the period of the orbit passing through \((\eta,0)\). When \(T'(\eta^*)=0\), for some \(\eta^*\), the period \(T(\eta^*)=0\) is called \textit{critical}. Also recall that a center is \textit{isochronous} if the function \(T\) is constant and \textit{rigidly isochronous} if in ...
Linping Peng, Lianghaolong Lu, Zhaosheng Feng   +2 more
openaire   +2 more sources

Isochronicity of centers in a switching Bautin system

Journal of Differential Equations, 2012
Isochronicity of centers for a class of discontinuous differential system, simply called switching system, is discussed. Some sufficient conditions for the system to have a regular isochronous center at the origin are given and a switching system with an irregular isochronous center at the origin is constructed.
Chen, Xingwu, Zhang, Weinian
openaire   +2 more sources

On the monotonicity criteria of the period function of potential systems

, 2012
The purpose of this paper is to study various monotonicity conditions of the period function $T(c)$ (energy-dependent) for potential systems $\ddot x + g(x)=0$ with a center at the origin 0.
Chouikha, A. Raouf
core   +1 more source

On the critical periods of perturbed isochronous centers

Journal of Differential Equations, 2008
"Vegeu el resum a l'inici del document del fitxer adjunt."
Gasull i Embid, Armengol, Yu, Jiang
openaire   +3 more sources

Period function and characterizations of Isochronous potentials

, 2011
We are interested at first in the study of the monotonicity for the period function of the conservative equation \ $(1)\quad \ddot x + g(x) = 0.$\quad Some refinements of known criteria are brought.
Chouikha, A. Raouf
core   +1 more source

The isochronous center on center manifolds for three dimensional differential systems

, 2019
In this paper, we give a direct method to study the isochronous centers on center manifolds of three dimensional polynomial differential systems. Firstly, the isochronous constants of the three dimensional system are defined and its recursive formulas are given.
Huang, Wen Tao, Wang, Qin Long, Du, Chao Xiong   +2 more
openaire   +2 more sources

Differential continuum damage mechanics models for creep and fatigue of unidirectional metal matrix composites [PDF]

Three multiaxial isothermal continuum damage mechanics models for creep, fatigue, and creep/fatigue interaction of a unidirectional metal matrix composite volume element are presented, only one of which will be discussed in depth.
Arnold, S. M., Kruch, S.
core   +1 more source

The effect of time-space compression in the Yangtze River Delta region under transportation integration: An accessibility-based analysis. [PDF]

PLoS One
Shang S, Jiang H.
europepmc   +1 more source

Interindividual differences in auditory processing moderate the effect of auditory-motor coupling on paired-associate learning. [PDF]

Sci Rep
Schmidt-Kassow M, Kasper J, Diefenbach C, Kaiser J.   +3 more
europepmc   +1 more source