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pro vyhledávání: '"Paul H. Bryant"'
Autor:
Paul H. Bryant
Publikováno v:
The Astrophysical Journal. 818:53
This paper considers a nonlinear coupling between a radial and a nonradial mode of nearly the same frequency. The results may be of general interest, but in particular have application to the "beating-modes model" of the Blazhko effect which was rece
Autor:
Philip E. Gill, Zakary S. Singer, Elizabeth Wong, Bryan Toth, Justin Rofeh, Mark Kostuk, Henry D. I. Abarbanel, Paul H. Bryant
Publikováno v:
The Dynamic Brain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::430fe1c27c95368e4f1bf4fa946a9fb6
https://doi.org/10.1093/acprof:oso/9780195393798.003.0008
https://doi.org/10.1093/acprof:oso/9780195393798.003.0008
Autor:
Paul H. Bryant
Publikováno v:
Physics Letters A. 179:186-190
A new set of dimension-like invariants is obtained, which characterize aspects of the attractor not usually examined. This study also demonstrates a new method for determining Lyapunov exponents and introduces “tailored attractors” for which the
Publikováno v:
Physical Review B. 47:11255-11262
Approximate methods for obtaining the magnetostatic mode spectrum of thin rectangular samples have been known for some time. However, our experimental results from lithographic arrays of submicron Permalloy particles show that these methods perform r
Autor:
Paul H. Bryant
Publikováno v:
Physical review. E, Statistical, nonlinear, and soft matter physics. 82(1 Pt 2)
A method of synchronization is presented which, unlike existing methods, can, for generic dynamical systems, force all conditional Lyapunov exponents to go to $\ensuremath{-}\ensuremath{\infty}$. It also has improved noise immunity compared to existi
Autor:
J. M. Nichols, Paul H. Bryant
Publikováno v:
Physical Review E. 81
A general method is presented for modeling spatially extended systems that may contain a localized source of nonlinearity. It has direct applications to structural health monitoring (SHM) where physical damage may cause such nonlinearity and also com
We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them using exp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::302fef4a7979e449ad02cfad75668917
http://arxiv.org/abs/0904.2798
http://arxiv.org/abs/0904.2798
Publikováno v:
Physical Review A. 43:2787-2806
The paper examines the problem of accurately determining, from an observed time series, the Liapunov exponents for the dynamical system generating the data. It is shown that, even with very large data sets, it is clearly advantageous to utilize local
Autor:
Paul H. Bryant
Publikováno v:
The Astrophysical Journal. 802:52
In this paper it is shown that the Blazhko effect may result from a near-resonant type of multi-mode pulsation, where two (or sometimes more) periodic oscillations with slightly different frequencies gradually slip in phase, producing a beat frequenc
Autor:
Paul H. Bryant
Publikováno v:
The Astrophysical Journal. 783:L15
The waveform for Blazhko stars can be substantially different during the ascending and descending parts of the Blazhko cycle. A hybrid model, consisting of two component oscillators of the same frequency, is proposed as a means to fit the data over t