On the Global Controllability for Planar Systems without Explicit Control Curves

2019 ◽  
Author(s):  
Yimin SUN
Keyword(s):  
Global Controllability ◽  
Planar Systems ◽  
Control Curves

scholarly journals Stochastic vs. deterministic magnetic coding in designed cylindrical nanowires for 3D magnetic networks

Nanoscale ◽  
2021 ◽  
Author(s):  
Cristina Bran ◽  
Elias Saugar ◽  
José Ángel Fernández-Roldán ◽  
Rafael Perez del Real ◽  
Agustina Asenjo ◽  
...  
Keyword(s):  
Information Technologies ◽  
Intrinsic Curvature ◽  
Planar Systems ◽  
3D Information

Advances in cylindrical nanowires for 3D information technologies profit from intrinsic curvature that introduces significant differences with regards to planar systems. A model is proposed to control the stochastic and...

scholarly journals 3-(2,4-Dichlorophenyl)-5-(4-fluorophenyl)-2-phenyl-7-(trifluoromethyl)pyrazolo[1,5-a]pyrimidine

2012 ◽  
Vol 68 (6) ◽  
pp. o1923-o1923
Author(s):  
Ju Liu ◽  
Zhi-Qiang Cai ◽  
Yang Wang ◽  
Yu-Li Sang ◽  
Li-Feng Xu
Keyword(s):  
Dihedral Angle ◽  
Title Compound ◽  
Phenyl Ring ◽  
Crystal Packing ◽  
Van Der Waals ◽  
Van Der Waals Interactions ◽  
Compound C ◽  
Benzene Rings ◽  
Planar Systems

In the title compound, C25H13Cl2F4N3, there are four planar systems, viz. three benzene rings and a pyrazolo[1,5-a]pyrimidine system [r.m.s. deviation = 0.002 Å]. The dihedral angle between the dichlorophenyl ring and the unsubstituted phenyl ring is 69.95 (5)°, while that between the fluorophenyl ring and the unsubstituted phenyl ring is 7.97 (10)°. The crystal packing is dominated by van der Waals interactions. A Cl...Cl interaction of 3.475 (3) Å also occurs.

Traveling Wave Solutions of a Two-Component Dullin–Gottwald–Holm System

2016 ◽  
Vol 12 (3) ◽  
Author(s):  
Jiyu Zhong ◽  
Shengfu Deng
Keyword(s):  
Solitary Wave ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Periodic Wave ◽  
Phase Portraits ◽  
Wave System ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Two Component ◽  
Planar Systems

In this paper, we investigate the traveling wave solutions of a two-component Dullin–Gottwald–Holm (DGH) system. By qualitative analysis methods of planar systems, we investigate completely the topological behavior of the solutions of the traveling wave system, which is derived from the two-component Dullin–Gottwald–Holm system, and show the corresponding phase portraits. We prove the topological types of degenerate equilibria by the technique of desingularization. According to the dynamical behaviors of the solutions, we give all the bounded exact traveling wave solutions of the system, including solitary wave solutions, periodic wave solutions, cusp solitary wave solutions, periodic cusp wave solutions, compactonlike wave solutions, and kinklike and antikinklike wave solutions. Furthermore, to verify the correctness of our results, we simulate these bounded wave solutions using the software maple version 18.

Divergence Criterion for Generic Planar Systems

2003 ◽  
Vol 64 (1) ◽  
pp. 81-93 ◽  
Author(s):  
Paul Waltman ◽  
Sergei S. Pilyugin
Keyword(s):  
Planar Systems

A METHOD OF DESCRIPTION OF MAGNETIC OSCILLATIONS IN MESOSCOPIC SYSTEMS

1996 ◽  
Vol 10 (27) ◽  
pp. 1333-1338
Author(s):  
STANISLAW WALCERZ
Keyword(s):  
Experimental Investigation ◽  
Magnetic Properties ◽  
Translation Group ◽  
Mesoscopic Systems ◽  
Group Approach ◽  
Proposed Model ◽  
Planar Systems ◽  
Magnetic Translation ◽  
Onsager Theory ◽  
Magnetic Oscillations

A model for calculation of magnetic properties of small planar systems is proposed. The model combines the Onsager theory of de Haas-van Alphen oscillations with the magnetic translation group approach. The proposed model suggests a method for both theoretical and experimental investigation of magnetic properties of mesoscale systems.

Sign in / Sign up

Export Citation Format

Share Document