Results 11 to 20 of about 399 (175)
From isochronous potentials to isochronous systems
Journal of Differential Equations, 2015 This paper studies Hamiltonian systems of the type \[ \left\{ \begin{align*}{ \dot{y}&= - V'(x) \cr \dot{x}&= T'(y) ,}\end{align*} \right. \] where \(T\) and \(V\) are \(C^2\)-functions, with associated Hamiltonian function \[ E(x,y) = T(y) + V(x). \] The system is assumed to have a center at a certain point \((x_0,y_0)\), and \(V(x_0) = T(y_0) = 0 ...
Sfecci, Andrea
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Fiber Track Length Gradients in the Avian Sound Localization Circuit Require Conduction Velocity Gradients to Maintain Isochronicity. [PDF]
J Comp NeurolThe gross anatomy of the sound localization circuit in the chicken brainstem was quantified with 3D reconstructions from serial sections and measurements of the interconnecting pathways. A rostral‐to‐caudal length gradient was measured in both the crossed dorsal cochlear track and the ipsilateral loop.
Harris DM.
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Cyclo-P<sub>5</sub> <sup>-</sup> Revisited: The Surprisingly Stable Uncoordinated Pentaphospholide Anion. [PDF]
Angew Chem Int Ed EnglThe intriguing cyclo‐P5− anion, which is isolobal to the well‐known cyclopentadienide anion, was characterized for the first time crystallographically in the salts [M([2.2.2]cryptand)][cyclo‐P5] (M = Na, K). The compounds were further characterized by UV/Vis spectroscopy in solution and in the solid state by Raman and 31P MAS NMR spectroscopy ...
Ernst MJ +4 more
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Enhanced control of periodontitis by an artificial intelligence-enabled multimodal-sensing toothbrush and targeted mHealth micromessages: A randomized trial. [PDF]
J Clin PeriodontolAbstract Aim Treatment of periodontitis, a chronic inflammatory disease driven by biofilm dysbiosis, remains challenging due to patients' poor performance and adherence to the necessary oral hygiene procedures. Novel, artificial intelligence‐enabled multimodal‐sensing toothbrushes (AI‐MST) can guide patients' oral hygiene practices in real‐time and ...
Li Y +8 more
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Temporal Dynamics With and Without a Nervous System: Plant Physiology, Communication, and Movement. [PDF]
Cogn SciAbstract The concept of time has long been the subject of complex philosophical reflections and scientific research, which have interpreted it differently based on the starting question, context, and level of analysis of the system under investigation.
Bianchi M +7 more
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Isochronicity and normal forms of polynomial systems of ODEs [PDF]
, 2015 We propose a generalization of the notion of isochronicity for real polynomial autonomous systems to the case of complex two dimensional systems of ODEs.
Han, Maoan, Romanovski, Valery
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ChemBioChem, Volume 24, Issue 23, December 1, 2023., 2023 A high yielding sesquiterpene synthase for (+)‐1‐epi‐cubenol from the actinomycete Nonomuraea coxensis was investigated for its cyclisation mechanism by isotopic labelling experiments. Several derivatives of (+)‐1‐epi‐cubenol and of the plant derived compounds (−)‐cubenol and (−)‐1‐epi‐cubenol have been prepared, including an epoxide that is known as a
Jeroen S. Dickschat +2 more
wiley +1 more source
Pseudo-isochronicity in a class of septic differential systems [PDF]
, 2009 This paper deals with the pseudo-isochronicity for a class of septic differential systems. In this paper, we transform infinity into the origin so that the properties of infinity can be investigated with the methods developed for finite critical points ...
Li, Peiluan, Wu, Yusen
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Global Isochronous Potentials [PDF]
Qualitative Theory of Dynamical Systems, 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 $\ddot x=-V'(x)$. We revisit Stillinger and Dorignac isochronous potentials $V$ and show a new simple explicit family. Implicit examples are easily produced.
GORNI, Gianluca, Zampieri Gaetano
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