scholarly journals The effect of structural aspect for planar systems with 2DOF upon the stability of motion

2021 ◽  
Vol 1169 (1) ◽  
pp. 012003
Author(s):  
S Alaci ◽  
F-C Ciornei ◽  
C-C Suciu ◽  
I-C Romanu
Keyword(s):  
Structural Aspect ◽  
Stability Of Motion ◽  
Planar Systems ◽  
The Stability

scholarly journals Modeling Planar Fluxgate Structures

Proceedings ◽  
2018 ◽  
Vol 2 (13) ◽  
pp. 830
Author(s):  
Michael Ortner ◽  
Neosha Navaei ◽  
Martin Lenzhofer
Keyword(s):  
Theoretical Model ◽  
Experimental Studies ◽  
Direct Coupling ◽  
Fem Simulations ◽  
3D Structures ◽  
Classical Models ◽  
Planar Systems ◽  
The Stability ◽  
Magnetostatic Simulation

Planar fluxgate structures have been the focus of multiple experimental studies. However, theoretical treatises are still limited to the classical models that describe 3D structures. In this paper we derive an effective fluxgate equation for planar systems, dealing with strong stray fields and direct coupling, and show the stability and applicability of the Vacquier implementation. To support the theoretical model, FEM simulations are performed that also provide means of layouting planar fluxgates by pure magnetostatic simulation.

On the stability of motion of a radiating electron

1978 ◽  
Vol 11 (7) ◽  
pp. 1211-1219 ◽  
Author(s):  
W Maass ◽  
J Petzold
Keyword(s):  
Stability Of Motion ◽  
The Stability

scholarly journals Existence of Center for Planar Differential Systems with Impulsive Perturbations

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Dengguo Xu
Keyword(s):  
Computing Methods ◽  
Impulsive Systems ◽  
Differential Systems ◽  
Numerical Examples ◽  
State Dependent ◽  
Planar Systems ◽  
Linear And Nonlinear ◽  
Impulsive Perturbations ◽  
The Stability ◽  
Theoretical Results

We present a method that uses successor functions in ordinary differential systems to address the “center-focus” problem of a class of planar systems that have an impulsive perturbation. By deriving solution formulae for impulsive systems, several interesting criteria for distinguishing between the center and the focus of linear and nonlinear planar systems with state-dependent impulsions are established. The conditions describing the stability of the focus of the considered models are also given. The computing methods presented here are more convenient for determining the center of impulsive systems than those in the literature. Numerical examples are given to show the effectiveness of the theoretical results.

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