Results 131 to 140 of about 399 (175)
Isochronicity conditions for some planar polynomial systems II [PDF]
Bulletin Des Sciences Mathematiques, 2011 International audienceWe study the isochronicity of centers at $O\in \mathbb{R}^2$ for systems $$\dot x=-y+A(x,y),\;\dot y=x+B(x,y),$$ where $A,\;B\in \mathbb{R}[x,y]$, which can be reduced to the Liénard type equation.
Islam Boussaada +2 more
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Isochronicity for Several Classes of Hamiltonian Systems [PDF]
Journal of Differential Equations, 1999 In this paper we study isochronous centers of analytic Hamiltonian systems giving special attention to the polynomial case. We first revisit the potential systems and we show the connection between isochronicity and involutions.
Jordi Villadelprat, Francesc Mañosas
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Isochronicity and linearizability of planar polynomial Hamiltonian systems [PDF]
Journal of Differential Equations, 2015 Agraïments: UNAB13-4E-1604. The second author is supported by the Slovenian Research Agency. Both authors are supported by the grant FP7-PEOPLE-2012-IRSES-316338.
Valery G. Romanovski, Jaume Llibre
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Isochronous Centers and Isochronous Functions
Acta Mathematicae Applicatae Sinica, English Series, 2002The author investigates the isochronous centers of two classes of planar systems of ordinary differential equations: 1) Liénard systems of the form \((\dot x)=y-F(x),(\dot y)=-g(x)\), 2) Hamiltonian systems of the form \((\dot x)=-g(y)\), \((\dot y)=f(x)\), with emphasis on the case when the functions \(g\) or \(f\) are isochronous. For the first class
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Isochronous and Strongly Isochronous Foci of Polynomial Liénard Systems
Differential Equations, 2022A two-dimensional Liénard system having an isochronous focus at the origin is studied. A normal form is proposed to this end to study the global behavior of the system.
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Isochronous and partially isochronous Hamiltonian systems are not rare
Journal of Mathematical Physics, 2006A technique is provided that allows to associate to a Hamiltonian another, ω-modified, Hamiltonian, which reduces to the original one when the parameter ω vanishes, and for ω>0 features an open, hence fully dimensional, region in its phase space where all its solutions are isochronous, i.e., completely periodic with the same period. The class of
CALOGERO, Francesco, LEYVRAZ F.
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Stellar Evolution Tracks, Isochrones, and Isochrone-Clouds
2021The modelling of stellar interiors is performed by critically comparing observations to carefully constructed theoretical stellar models. These theoretical stellar models are predicated on a number of assumptions and simplifications that have implications for the results of the modelling.
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Isochrones and brachistochrones
Neural Parallel Sci. Comput., 1999Summary: Christian Huygens proved in 1659 that a particle sliding smoothly (under uniform gravity) on a cycloid with axis vertically down reaches the base in a period independent of the starting point. He built very accurate pendulum clocks, with cycloidal pendulums. \textit{M. Denny} [Math. Today, Southend-on-Sea 34, No.
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Integration, 1992
Abstract Networks of so-called VLSI operators connected by wires form an attractive abstraction of the VLSI medium. However, for the design of non-trivial delay-insensitive circuits so-called isochronic forks are essential. When not carefully implemented, these isochronic forks may give rise to hazardous behavior.
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Abstract Networks of so-called VLSI operators connected by wires form an attractive abstraction of the VLSI medium. However, for the design of non-trivial delay-insensitive circuits so-called isochronic forks are essential. When not carefully implemented, these isochronic forks may give rise to hazardous behavior.
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Journal of Mathematical Biology, 1975
Winfree has developed mathematical models for his phase resetting experiments on biological clocks. These models lead him to ask a number of mathematical questions concerning dynamical systems. This paper deals with these mathematical questions. In Winfree's terminology we show the existence of isochrons and establish some of their properties.
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Winfree has developed mathematical models for his phase resetting experiments on biological clocks. These models lead him to ask a number of mathematical questions concerning dynamical systems. This paper deals with these mathematical questions. In Winfree's terminology we show the existence of isochrons and establish some of their properties.
openaire +3 more sources