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pro vyhledávání: '"Mike, R."'
When a dynamical system is subject to a periodic perturbation, the averaging method can be applied to obtain an autonomous leading order `guiding system', placing the time dependence at higher orders. Recent research focused on investigating invarian
Externí odkaz:
http://arxiv.org/abs/2409.11054
Autor:
Jeffrey, Mike R
A practical method was proposed recently for finding local bifurcation points in an n-dimensional vector field F by seeking their 'underlying catastrophes'. Here we apply the idea to the homogeneous steady states of a partial differential equation as
Externí odkaz:
http://arxiv.org/abs/2310.14818
Autor:
Jeffrey, Mike R.
Publikováno v:
J. Phys. A: Math. Theor. 55 464006 (2022)
Practical conditions are given here for finding and classifying high codimension intersection points of $n$ hypersurfaces in $n$ dimensions. By interpreting those hypersurfaces as the nullclines of a vector field in $\mathbb R^n$, we broaden the conc
Externí odkaz:
http://arxiv.org/abs/2310.14813
Publikováno v:
J. Nonlinear Science 33 (2023) 52
The sewed focus is one of the singularities of planar piecewise smooth dynamical systems. Defined by Filippov in his book 'Differential Equations with Discontinuous Righthand Sides' (Kluwer, 1988), it consists of two invisible tangencies either side
Externí odkaz:
http://arxiv.org/abs/2306.09743
Autor:
William Fishley, Rajpal Nandra, Ian Carluke, Paul F. Partington, Mike R. Reed, Derek J. Kramer, Matthew J. Wilson, Matthew J. W. Hubble, Jonathan R. Howell, Sarah L. Whitehouse, Timothy G. Petheram, Al-Amin M. Kassam
Publikováno v:
Bone & Joint Open, Vol 5, Iss 6, Pp 514-523 (2024)
Aims: In metal-on-metal (MoM) hip arthroplasties and resurfacings, mechanically induced corrosion can lead to elevated serum metal ions, a local inflammatory response, and formation of pseudotumours, ultimately requiring revision. The size and diamet
Externí odkaz:
https://doaj.org/article/e44a6b0111504362b40215cca7562da5
