Results 51 to 60 of about 1,912 (198)
General Relativity and Gravitation, 2022 14 pages, 2 figures.
Alberto Saa, Roberto Venegeroles
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Solvable Nonlinear Evolution PDEs in Multidimensional Space
Symmetry, Integrability and Geometry: Methods and Applications, 2006 A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type.
Francesco Calogero, Matteo Sommacal
doaj
Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in C2 [PDF]
, 2001 In this paper we consider complex differential systems in the plane, which are linearizable in the neighborhood of a nondegenerate centre. We find necessary and sufficient conditions for linearizability for the class of complex quadratic systems and for ...
Christopher, C., Rousseau, C.
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Centering conditions for planar septic systems
Electronic Journal of Differential Equations, 2003 We find centering conditions for the following $O$-symmetric system of degree 7: $$displaylines{ dot x=y+ x (H_2 (x,y)+H_6 (x,y)),cr dot y=-x+ y (H_2 (x,y)+H_6 (x,y)), }$$ where $H_2 (x,y)$ and $H_6 (x,y)$ are homogeneous polynomials of degrees 2 and 6 ...
Evgenii P. Volokitin
doaj
Chimera states in a population of identical oscillators under planar cross-coupling
, 2014 We report the existence of a chimera state in an assembly of identical nonlinear oscillators that are globally linked to each other in a simple planar cross-coupled form. The rotational symmetry breaking of the coupling term appears to be responsible for
Dana, S. K. +4 more
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Journal of Cachexia, Sarcopenia and Muscle, Volume 16, Issue 2, April 2025.ABSTRACT Background β2‐Microglobulin (B2M) has garnered considerable interest as a potential pro‐ageing factor, leading to speculation about its involvement in muscle metabolism and the development of sarcopenia, a key component of ageing phenotypes.
Shibo Wei +13 more
wiley +1 more source
, 2013 In this paper we carry out a complete classification of the Lie point symmetry groups associated with the quadratic Li$\acute{e}$nard type equation, $\ddot {x} + f(x){\dot {x}}^{2} + g(x)= 0$, where $f(x)$ and $g(x)$ are arbitrary functions of $x$.
Lakshmanan, M. +3 more
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Journal of Morphology, Volume 286, Issue 2, February 2025.We devised novel staging criteria for near‐hatching embryos of the Mallard (Anas platyrhynchos) and Swan Goose (Anser cygnoides) based on four easily measurable morphological traits. We show that our staging criteria are robust against interbreed variation and allow for correct stage identification with over 70% accuracy.
Bassel Arnaout +3 more
wiley +1 more source
Branching of periodic orbits from Kukles isochrones
Electronic Journal of Differential Equations, 1998 We study local bifurcations of limit cycles from isochronous (or linearizable) centers. The isochronicity has been determined using the method of Darboux linearization, which provides a birational linearization for the examples that we analyze.
B. Toni
doaj
On the period function of Newtonian systems [PDF]
, 2013 We study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x=y,\qquad \dot y = -h(x) - g(x)y - f(x)y^2.$$ We are interested in the period function $T$ around a center 0. A sufficient condition for the isochronicity of (
Chouikha, A. Raouf, Timoumi, Mohsen
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