The interaction between a magnetic domain wall and a pinning site is explored in a planar nanowire using micromagnetics to reveal perturbations of the pinning energetics for propagating domain walls. Numerical simulations in the high damping 'quasi-static' and low damping 'dynamic' regimes are compared and show clear differences in de-pinning fields, indicating that dynamical micromagnetic mode...

For increased security during TLS certificate validation, a common recommendation is to use a variation of pinning. Especially non-browser software developers are encouraged to limit the number of trusted certificates to a minimum, since the default CA-based approach is known to be vulnerable to serious security threats. The decision for or against pinning is always a tradeoff between increasin...

This chapter first introduces some complex network models and then gives both local and global stability conditions for complete synchronization of complex dynamical networks. In addition, the concept of virtual control of pinned complex dynamical networks is introduced to illustrate the principle of pinning control. The main reason is explained for why significantly less local controllers are ...

Using the London equation, we derive a formula by which the pinning force from magnetic dots can be calculated. We numerically calculate the interaction between ferromagnetic dots and vortices in type II superconductors under various conditions. It is found that the pinning force of the magnetic dot with 50 nm thickness reaches 3.5 × 10 N that is one order magnitude stronger than the intrinsic ...

Flux-pinning mechanism of MgB2 doped with 10 wt % silicone-oil sintered at low and high temperatures has been investigated by magnetic measurements. The field dependence of the critical current density, jc(B), was analysed within the collective pinning model. A crossover field, Bsb, from the single vortex to the small vortex bundle-pinning regime was observed. For both types of sintered samples...

We show that if a line ` is an isolated line transversal to a finite familyF of (possibly intersecting) balls in R and no two balls are externally tangent on ` then there is a subfamily G ⊆ F of size at most 12 such that ` is an isolated line transversal to G. We generalize this result to families of semi-algebraic ovaloids.

Controlling complex networks is of paramount importance in science and engineering. Despite recent efforts to improve controllability and synchronous strength, little attention has been paid to the speed of pinning synchronizability (rate of convergence in pinning control) and the corresponding pinning node selection. To address this issue, we propose a hypothesis to restrict the control cost, ...

This paper concerns pinning control in complex networks of dynamical systems, where an external forcing signal is applied to the network in order to align the state of all the systems to the forcing signal. By considering the control signal as the state of a virtual dynamical system, this problem can be studied as a synchronization problem. The main focus of this paper is to study how the effec...

Pinning of a solid–liquid–vapour interface by stripes of obstacles. Abstract We use a macroscopic Hamiltonian approach to study the pinning of a solid–liquid–vapour contact line on an array of equidistant stripes of obstacles perpendicular to the liquid. We propose an estimate of the density of pinning stripes for which collective pinning of the contact line happens. This estimate is shown to b...