Many closed K-magnetic geodesics on $${\mathbb {S}}^2$$
Sign Up to like & getrecommendations! Published in 2021 at "Manuscripta Mathematica"
DOI: 10.1007/s00229-021-01297-4
Abstract: In this paper we adopt an alternative, analytical approach to Arnol’d problem [4] about the existence of closed and embedded K-magnetic geodesics in the round 2-sphere $${\mathbb {S}}^2$$ , where $$K: {\mathbb {S}}^2 \rightarrow {\mathbb… read more here.
Keywords: geodesics mathbb; many closed; magnetic geodesics; closed magnetic ... See more keywords
On a higher integral invariant for closed magnetic lines, revisited
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DOI: 10.1016/j.geomphys.2021.104379
Abstract: Abstract We recall a definition of an asymptotic invariant of classical link, which is called M-invariant. M-invariant is a special Massey integral, this integral has an ergodic form and is generalized for magnetic fields with… read more here.
Keywords: magnetic lines; integral invariant; closed magnetic; invariant ... See more keywords
On geodesic flows with symmetries and closed magnetic geodesics on orbifolds
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2018.122
Abstract: Let $Q$ be a closed manifold admitting a locally free action of a compact Lie group $G$. In this paper, we study the properties of geodesic flows on $Q$ given by suitable G-invariant Riemannian metrics.… read more here.
Keywords: geodesic flows; closed magnetic; magnetic geodesics; flows symmetries ... See more keywords
Nonlinear Electromagnetic Vibration Energy Harvester With Closed Magnetic Circuit
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DOI: 10.1109/lmag.2018.2822625
Abstract: A novel electromagnetic energy harvester structure with a highly efficient closed magnetic circuit is presented. An opposite polarity arrangement of a permanent magnet pair results in the maximum change of magnetic flux linkage in the… read more here.
Keywords: magnetic circuit; closed magnetic; energy harvester;