Results 31 to 40 of about 6,930 (179)

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

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

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

Nonlocal observables and lightcone-averaging in relativistic thermodynamics

, 2009
The unification of relativity and thermodynamics has been a subject of considerable debate over the last 100 years. The reasons for this are twofold: (i) Thermodynamic variables are nonlocal quantities and, thus, single out a preferred class of ...
A Einstein, A Gamba, A Komar, A Montakhab, AS Eddington, C Cercignani, C Liu, C Liu, CK Yuen, CL Bennett, CW Misner, D Cubero, D Ter Haar, DG Currie, F Debbasch, F Jüttner, G Amelino-Camelia, H Arzelies, H Arzelies, H Ott, HB Callen, HB Callen, HC Öttinger, J Berges, J Dunkel, JA Wheeler, JD Bekenstein, Jörn Dunkel, LD Landau, M Campisi, M Planck, MHL Pryce, NG Van Kampen, NG Van Kampen, NG Van Kampen, Peter Hänggi, PT Landsberg, PT Landsberg, R Hakim, RU Sexl, S Lloyd, S Weinberg, Stefan Hilbert, V Marra   +43 more
core   +1 more source

Frontier Research on Isochronous Accelerator and Its Applications at China Institute of Atomic Energy Since the 21st Century

Yuanzineng kexue jishu
Isochronous cyclotrons hold an indispensable position in national security and the science and technology innovation system. In the new era, there is an urgent demand for breakthroughs in compact structure, high energy, and high beam intensity of ...
ZHANG Tianjue, FU Wei, WANG Chuan, YIN Zhiguo, JIA Xianlu, AN Shizhong, LI Pengzhan, ZHOU Hongji, SONG Guofang, CHEN Xinyu
doaj   +1 more source

Integrability and Pseudo-Linearizable Conditions in a Quasi-Analytic System

Abstract and Applied Analysis, 2012
This paper deals with the problems of integrability and linearizable conditions at degenerate singular point in a class of quasianalytic septic polynomial differential system.
Feng Li, Yusen Wu
doaj   +1 more source

Isochronous Spacetimes

, 2014
The possibility has been recently demonstrated to manufacture (nonrelativistic, Hamiltonian) many-body problems which feature an isochronous time evolution with an arbitrarily assigned period $T$ yet mimic with good approximation, or even exactly, any ...
Briscese, Fabio, Calogero, Francesco
core   +1 more source

The behavior of structures based on the characteristic strain model of creep [PDF]

, 2011
There has been much work over the past two decades to aid the design and assessment engineer in the selection of a suitable material model of creep for high temperature applications.
Boyle, James
core   +1 more source

Critical Periods of Perturbations of Reversible Rigidly Isochronous Centers [PDF]

Abstract and Applied Analysis, 2013
We study the problem of bifurcation of critical periods of a time-reversible polynomial system of degreen. We first present a new method to find the number of zeros of the period function. Then applying our results, we study the number of critical periods for some polynomial systems and obtain new results.
Zhou, Jiamei, Li, Na, Han, Maoan
openaire   +3 more sources

Microstructural Evolution and Vacancy Defect Formation in Mn–Mo–Ni RPV Steel Under Low Cycle Fatigue: Insights From EBSD and PALS

Advanced Engineering Materials, EarlyView.
Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar, Dhanadeep Dutta, G. Bharat Reddy   +2 more
wiley   +1 more source