Results 91 to 100 of about 366,422 (303)
Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
wiley +1 more source
Limit cycles in Lienard equations [PDF]
An analytical estimation of the existence and characteristics of limit cycles in a given planar polynomial vector field represents a significant progress towards the complete answer to the second part of Hilbert’s 16th problem. In a very recent work [1],
Giovanni Tosi (227008) +1 more
core
Bifurcation of limit cycles: geometric theory
Multiple limit cycles play a basic role in the theory of bifurcations. In this paper we distinguish between singular and nonsingular, multiple limit cycles of a system defined by a one-parameter family of planar vector fields.
L. M. Perko
core +1 more source
Bifurcation of limit cycles for cubic reversible systems
This article is concerned with the bifurcation of limit cycles of a class of cubic reversible system having a center at the origin. We prove that this system has at least four limit cycles produced by the period annulus around the center under cubic ...
Yi Shao, Kuilin Wu
doaj
Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems
We study the number and distribution of limit cycles of some planar Z4-equivariant quintic near-Hamiltonian systems. By the theories of Hopf and heteroclinic bifurcation, it is proved that the perturbed system can have 24 limit cycles with some new ...
Simin Qu +3 more
doaj +1 more source
Approximation for limit cycles and their isochrons
Local analysis of trajectories of dynamical systems near an attractive periodic orbit displays the notion of asymptotic phase and isochrons. These notions are quite useful in applications to biosciences. In this note, we give an expression for the first approximation of equations of isochrons in the setting of perturbations of polynomial Hamiltonian ...
Demongeot, Jacques +1 more
openaire +4 more sources
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
Limit cycles for $Z_{2n}$-equivariant systems without infinite equilibria
We analyze the dynamics of a class of $\mathbb{Z}_{2n}$-equivariant differential equations of the form $\dot{z}=pz^{n-1}\bar{z}^{n-2}+sz^{n}\bar{z}^{n-1}-\bar{z}^{2n-1}$, where z is complex, the time t is real, while p and s are complex parameters ...
Isabel S. Labouriau, Adrian C. Murza
doaj
Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas +6 more
wiley +1 more source
Polynomial differential systems with explicit non-algebraic limit cycles
Up to now all the examples of polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree at most 5. Here we show that already there are polynomial differential systems of degree at least exhibiting explicit ...
Rebiha Benterki, Jaume Llibre
doaj

