Transverse field implies normal microbundle

Normal-metal Aharonov-Bohm effect in the presence of a transverse electric field.

Transverse instability for non-normal parameters

Suppose a smooth dynamical system has an invariant subspace and a parameter that leaves the dynamics in the invariant subspace invariant while changing the normal dynamics. Then we say the parameter is a normal parameter, and much is understood of how attractors can change with normal parameters. Unfortunately, normal parameters do not arise very often in practise. We consider the behaviour of ...

General planar transverse domain walls realized by optimized transverse magnetic field pulses in magnetic biaxial nanowires

The statics and field-driven dynamics of transverse domain walls (TDWs) in magnetic nanowires (NWs) have attracted continuous interests because of their theoretical significance and application potential in future magnetic logic and memory devices. Recent results demonstrate that uniform transverse magnetic fields (TMFs) can greatly enhance the wall velocity, meantime leave a twisting in the TD...

Constrained model predictive manifold stabilization based on transverse normal forms

The optimization-based stabilization of manifolds for nonlinear dynamical systems with constraints is investigated. Manifolds in the state or output space are considered for which the original system description can be transformed into a so-called transverse normal form. With this formulation, the motion of the system transverse and tangential to the manifold can be separately described. The tr...

NORMAL FIELD EXTENSIONS Kjk AND

Throughout the paper Kjk is a field extension and p is the exponent characteristic. In this paper I introduce the notion of .K/fc-bialgebra (coalgebra over K and algebra over k) and describe a theory of finite dimensional normal field extensions Kjk based on a ^-measuring A /̂A:-bialgebra H(Kjk) (see 1.2, 1.6 and 1.10). This approach to studying Kjk was inspired by my conviction that a successfu...