Linearizability Problem of Resonant Degenerate Singular Point for Polynomial Differential Systems
The linearizability (or isochronicity) problem is one of the open problems for polynomial differential systems which is far to be solved in general. A progressive way to find necessary conditions for linearizability is to compute period constants.
Yusen Wu, Cui Zhang, Luju Liu
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The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems
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
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Beat Hierarchy and Beat Patterns—From Aksak to Composite Meter
In his study of Steve Reich’s phase–shifting music, Richard Cohn points to a specific analytical challenge that transcends the repertoire at hand: “Given the relative poverty of our rhythmic terminology, the challenge for the theorist is to discover a ...
Aleksandra Vojcic
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Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems [PDF]
In this paper we classify the centers, the cyclicity of their Hopf bifurcation and the isochronicity of the polynomial differential systems in R2 of degree d that in complex notation z=x+iy can be written asz˙=(λ+i)z+(zz¯)d−22(Az2+Bzz¯+Cz¯2), where d⩾2 ...
Valls, Clàudia, Llibre, Jaume
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Rhythm Across Species: Situating Human Speech in a Comparative Framework
We analyzed speech rhythms from 48 human languages using methods drawn from biology and linguistics. Interonset intervals across languages are surprisingly similar, with a median value of 2 seconds., despite substantial differences in linguistic structure and prosody. A comparative rhythm analysis shows that human speech falls within the range reported
Lara S. Burchardt +2 more
wiley +1 more source
Classification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearities [PDF]
In this paper we classify the centers, the cyclicity of its Hopf bifurcation and their isochronicity for the polynomial differential systems in R2 of arbitrary degree d⩾3 odd that in complex notation z=x+iy can be written asz˙=(λ+i)z+(zz¯)d−32(Az3+Bz2z ...
Valls, Clàudia, Llibre, Jaume
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Spatial distribution of acoustic traits in bird assemblages along regional bioclimatic gradients
Environmental variation shapes acoustic interactions among birds, creating spatial structures in the sonic signature of local species assemblages. Exploring these patterns at regional scales can reveal processes that segregate acoustic strategies along environmental gradients.
Michela Busana +11 more
wiley +1 more source
Period function monotonicity of planar vector fields [PDF]
In this paper, we study planar differential systems possessing a center at the origin. We introduce functional conditions for centers and obtain sufficient conditions for monotonicity of period function and isochronicity of the center of systems of ODE ...
Al-Dosary, Khalil I.T.
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A 14‐protein extracellular matrix aging clock derived from circulating matrisome proteins predicts chronological and biological age across cohorts and biofluids, distinguishes health from disease, and is modulated by rejuvenation interventions in mice, enabling the nomination of potential ECM targets for drug discovery to promote healthy aging ...
Loet Coenen +4 more
wiley +1 more source
Optics and beam dynamics study of the ISOLDE superconducting recoil separator
The spectrometry of radionuclides is a key area in nuclear physics, driven by the global quest to discover and characterize exotic isotopes. We propose a versatile and compact storage ring, the ISOLDE Superconducting Recoil Separator (ISRS), envisioned ...
Fazel Taft +4 more
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