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pro vyhledávání: '"Brons, Morten"'
We study the solutions of a friction oscillator subject to stiction. This discontinuous model is non-Filippov, and the concept of Filippov solution cannot be used. Furthermore some Carath\'eodory solutions are unphysical. Therefore we introduce the c
Externí odkaz:
http://arxiv.org/abs/1703.08437
Akademický článek
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In this paper we consider the one dimensional spring-block model describing earthquake faulting. By using geometric singular perturbation theory and the blow-up method we provide a detailed description of the periodicity of the earthquake episodes. I
Externí odkaz:
http://arxiv.org/abs/1603.02448
A canard explosion is the dramatic change of period and amplitude of a limit cycle of a system of non-linear ODEs in a very narrow interval of the bifurcation parameter. It occurs in slow-fast systems and is well understood in singular perturbation p
Externí odkaz:
http://arxiv.org/abs/1504.07752
Publikováno v:
In European Journal of Mechanics / B Fluids March-April 2019 74:58-67
Autor:
Brøns, Morten
The canard explosion is the change of amplitude and period of a limit cycle born in a Hopf bifurcation in a very narrow parameter interval. The phenomenon is well understood in singular perturbation problems where a small parameter controls the slow/
Externí odkaz:
http://arxiv.org/abs/1209.1109
In this paper we extend a method for iteratively improving slow manifolds so that it also can be used to approximate the fiber directions. The extended method is applied to general finite dimensional real analytic systems where we obtain exponential
Externí odkaz:
http://arxiv.org/abs/1208.6420
We carry out a computational experiment inspired by a physical experiment by Ouellette and Gollub (PRL 99, 194502 (2007)) where a topological transition of the velocity field in a fluid flow is generated by a grid of magnets. At a well-defined Reynol
Externí odkaz:
http://arxiv.org/abs/0806.4757
A simple - yet plausible - model for B-type vortex breakdown flows is postulated; one that is based on the immersion of a pair of slender coaxial vortex rings in a swirling flow of an ideal fluid rotating around the axis of symmetry of the rings. It
Externí odkaz:
http://arxiv.org/abs/0801.2408
Publikováno v:
In European Journal of Mechanics / B Fluids July-August 2016 58:1-8