Nonlinear-dynamical-system approach to microwave-assisted magnetization dynamics (invited)

2009 ◽  
Vol 105 (7) ◽  
pp. 07B712 ◽  
Author(s):  
G. Bertotti ◽  
I. D. Mayergoyz ◽  
C. Serpico ◽  
M. d’Aquino ◽  
R. Bonin
Keyword(s):  
Dynamical System ◽  
System Approach ◽  
Nonlinear Dynamical System ◽  
Magnetization Dynamics ◽  
Nonlinear Dynamical ◽  
Dynamical System Approach ◽  
Microwave Assisted

A nonlinear dynamical system approach for the yielding behaviour of a viscoplastic material

Soft Matter ◽  
2017 ◽  
Vol 13 (10) ◽  
pp. 2024-2039 ◽  
Author(s):  
Teodor Burghelea ◽  
Miguel Moyers-Gonzalez ◽  
Raazesh Sainudiin
Keyword(s):  
Dynamical System ◽  
System Approach ◽  
Nonlinear Dynamical System ◽  
Viscoplastic Material ◽  
Nonlinear Dynamical ◽  
Dynamical System Approach

Bifurcations in the Dynamical System for Three-Layered Magnetic Valve

2015 ◽  
Vol 233-234 ◽  
pp. 431-434 ◽  
Author(s):  
Natalia Ostrovskaya ◽  
Vladimir Skidanov ◽  
Iuliia Iusipova
Keyword(s):  
Magnetic Field ◽  
Dynamical System ◽  
Nonlinear Dynamical System ◽  
Anisotropy Field ◽  
Anisotropy Axis ◽  
Magnetization Dynamics ◽  
Nonlinear Dynamical ◽  
Demagnetizing Field ◽  
Spin Polarized ◽  
Space Dependence

Magnetization dynamics in a three-layered nanopillar Co/Cu/Co structure with one fixed and one free layer driven by external magnetic field and spin-polarized electric current was investigated using methods of the theory of bifurcations. Mathematical model is based on the Landau-Lifshits-Gilbert equation with the current term in the Sloncžewski–Berger form. Orientation of applied magnetic field was considered to be parallel to the anisotropy axis. Physical model included the magnetocrystalline anisotropy field and the demagnetizing field. Because of small size of the structure, the space dependence of magnetization, as usually, was not taken into account. The resulting system of equations has the form of the nonlinear dynamical system with the polynomial right sides. Mathematical simulation of magnetization dynamics for several typical values of field and current was performed. The numerical experiments revealed the features of switching process in more detail and permitted to find new regimes of magnetization dynamics, such as incomplete and accidental switching.

Prediction of the Development of Non-Equilibrium Turbulent Boundary Layers Based on Modified Log-Wake Law

2014 ◽  
Vol 620 ◽  
pp. 39-43
Author(s):  
Tao Zhang ◽  
Xiao Jun Zhu ◽  
Fei Peng ◽  
Shao Song Min
Keyword(s):  
Dynamical System ◽  
Boundary Layers ◽  
System Approach ◽  
Reasonable Agreement ◽  
Nonlinear Dynamical System ◽  
Turbulent Boundary Layers ◽  
Experiment Data ◽  
Nonlinear Dynamical ◽  
Momentum Integral ◽  
Non Equilibrium

The properties of non-equilibrium turbulent boundary layers are substantially more complicated than that of equilibrium ones, and current understanding and predictive capabilities of the former are less well developed than of the latter. This paper proposed a nonlinear dynamical system approach to predict streamwise development of non-equilibrium turbulent boundary layers by means of realizing the closure of the momentum integral equation with aid of the modified log-wake law and the entrainment equation. The example calculation showed the results were in reasonable agreement with the experiment data, and demonstrated the proposed method could predict the streamwise evolution of the layers accurately and simply. Moreover, the method would be conveniently extended to the flows over rough surfaces.

Prediction of Solutions of the Duffing System with Tuned Mass Damper

2020 ◽  
Vol 22 (4) ◽  
pp. 983-990
Author(s):  
Konrad Mnich
Keyword(s):  
Dynamical System ◽  
Duffing Oscillator ◽  
Probabilistic Approach ◽  
Nonlinear Dynamical System ◽  
Tuned Mass Damper ◽  
Nonlinear Dynamical ◽  
Duffing System ◽  
Mass Damper ◽  
Basin Stability ◽  
Stability Concept

AbstractIn this work we analyze the behavior of a nonlinear dynamical system using a probabilistic approach. We focus on the coexistence of solutions and we check how the changes in the parameters of excitation influence the dynamics of the system. For the demonstration we use the Duffing oscillator with the tuned mass absorber. We mention the numerous attractors present in such a system and describe how they were found with the method based on the basin stability concept.

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