Results 21 to 30 of about 1,912 (198)
Acta Applicandae Mathematicae, 2014 The possibility has been recently demonstrated to manufacture (nonrelativistic, Hamiltonian) many-body problems which feature an isochronous time evolution with an arbitrarily assigned period $T$ yet mimic with good approximation, or even exactly, any given many-body problem (within a quite large class, encompassing most of nonrelativistic physics ...
Briscese F, Calogero Francesco
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A Random Dynamical Systems Perspective on Isochronicity for Stochastic Oscillations [PDF]
Communications in Mathematical Physics, 2019 For an attracting periodic orbit (limit cycle) of a deterministic dynamical system, one defines the isochron for each point of the orbit as the cross-section with fixed return time under the flow.
Maximilian Engel, C. Kuehn
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Isochronicity and limit cycle oscillation in chemical systems [PDF]
Journal of Mathematical Chemistry, 2017 Chemical oscillation is an interesting nonlinear dynamical phenomenon which arises due to complex stability condition of the steady state of a reaction far away from equilibrium which is usually characterised by a periodic attractor or a limit cycle ...
Sandip Saha, G. Gangopadhyay
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Robust Isochron Calculation [PDF]
Geochronology, 2020 Abstract. A robust statistics approach to isochron calculations is presented, accompanied by an implementation in Python. It allows isochrons to be calculated for a wider range of datasets than the standard classical statistics approach, assuming that the distribution of uncertainties on the data is slightly fatter-tailed than Gaussian.
Roger Powell +3 more
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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
Brushing behaviour changes and plaque removal with an electric toothbrush: A clinical trial
International Journal of Dental Hygiene, Volume 21, Issue 4, Page 747-754, November 2023., 2023 Abstract Objective To evaluate changes in toothbrushing behaviour and plaque removal performance with usage of a next generation oscillating‐rotating electric toothbrush (NG‐OR). Methods This exploratory clinical study had a two‐treatment, three‐period, single‐group, sequential design.
Ralf Adam +5 more
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Stochastic Dynamics of Two‐Dimensional Particle Motion in Darcy‐Scale Heterogeneous Porous Media
Water Resources Research, Volume 59, Issue 9, September 2023., 2023 Abstract We study the upscaling and prediction of ensemble dispersion in two‐dimensional heterogeneous porous media with focus on transverse dispersion. To this end, we study the stochastic dynamics of the motion of advective particles that move along the streamlines of the heterogeneous flow field.
Aronne Dell’Oca, Marco Dentz
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Isochronicity and linearizability of a planar cubic system [PDF]
, 2016 In this paper we investigate the problem of linearizability for a family of cubic complex planar systems of ordinary differential equations. We give a classification of linearizable systems in the family obtaining conditions for linearizability in terms ...
Wilker Fernandes +3 more
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Linearizability Problem of Resonant Degenerate Singular Point for Polynomial Differential Systems
Journal of Applied Mathematics, 2012 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
doaj +1 more source
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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