Nonlinear slow dynamic elasticity in metal systems

2021 ◽  
Vol 150 (4) ◽  
pp. A334-A335
Author(s):  
John Yoritomo ◽  
Benjamin Dzikowicz ◽  
Richard Weaver
Keyword(s):  
Slow Dynamic ◽  
Dynamic Elasticity

Observation of Slow Dynamic Exchange Processes in Ras Protein Crystals by 31P Solid State NMR Spectroscopy

2002 ◽  
Vol 323 (5) ◽  
pp. 899-907 ◽  
Author(s):  
Michael Stumber ◽  
Matthias Geyer ◽  
Robert Graf ◽  
Hans Robert Kalbitzer ◽  
Klaus Scheffzek ◽  
...  
Keyword(s):  
Solid State ◽  
Nmr Spectroscopy ◽  
Solid State Nmr ◽  
Protein Crystals ◽  
Slow Dynamic ◽  
Solid State Nmr Spectroscopy ◽  
Ras Protein ◽  
Exchange Processes ◽  
Dynamic Exchange

GLOBAL ASYMPTOTIC STABILITY OF A CLASS OF DYNAMICAL NEURAL NETWORKS

2003 ◽  
Vol 13 (01) ◽  
pp. 47-53 ◽  
Author(s):  
ANKE MEYER-BÄSE ◽  
SERGEI S. PILYUGIN
Keyword(s):  
Short Term Memory ◽  
Neural System ◽  
Short Term ◽  
Slow Dynamic ◽  
Biologically Relevant ◽  
Synaptic Modification ◽  
Slow Part ◽  
Flow Invariance ◽  
Dynamical Neural Networks ◽  
Dynamic Variables

The dynamics of cortical cognitive maps developed by self–organization must include the aspects of long and short–term memory. The behavior of the network is such characterized by an equation of neural activity as a fast phenomenon and an equation of synaptic modification as a slow part of the neural biologically relevant system. We present new stability conditions for analyzing the dynamics of a biological relevant system with different time scales based on the theory of flow invariance. We prove the existence and uniqueness of the equilibrium, and give a quadratic–type Lyapunov function for the flow of a competitive neural system with fast and slow dynamic variables and thus prove the global stability of the equilibrium point.

Modification of Neuron PID Control in Case of Improper Learning Factors

2012 ◽  
Vol 433-440 ◽  
pp. 6795-6801
Author(s):  
Xue Gui Zhu ◽  
Zhi Hong Fu ◽  
Xing Zhe Hou
Keyword(s):  
Steady State ◽  
Reference Signal ◽  
Stability And Convergence ◽  
Simulation Experiments ◽  
Slow Dynamic ◽  
Penalty Factor ◽  
The Stability ◽  
Learning Factors ◽  
Control Output ◽  
Reference Input

Some modifications of conventional neuron proportional-integral-differential controller (NPID) are presented in this paper to prevent its slow dynamic response and loss of control in case of improper learning factors. The quasi-step signal replaces the step signal as the reference signal to improve the dynamic characteristics. The control output of NPID is modified every step by multiplying a penalty factor called senior teacher signal to suppress further the overshoot and compress the settling time. The steady-state error from the modified NPID (MNPID) is reduced or removed by adjusting dynamically reference input signal while excluding the pseudo steady state. Lots of simulation experiments are done to prove the stability and convergence of the MNPID control algorithm.

scholarly journals Examples of the Application of Muon Spin Relaxation to Studies of Magnetism in Cuprates

1998 ◽  
Vol 51 (2) ◽  
pp. 385 ◽  
Author(s):  
F. J. Litterst ◽  
M. Birke ◽  
B. Büchner ◽  
M. Hillberg ◽  
H.-H. Klauβ ◽  
...  
Keyword(s):  
Spin Relaxation ◽  
Muon Spin ◽  
Magnetic Moments ◽  
High Sensitivity ◽  
Muon Spin Relaxation ◽  
Spin Rotation ◽  
Muon Spin Rotation ◽  
Slow Dynamic ◽  
Magnetic Correlations ◽  
Superconducting Phases

After a brief introduction to muon spin rotation and relaxation (µSR) some recently achieved results on La2-x-yNdxSryCuO4, La2-x-yEuxSryCuO4 and Nd2-xCexCuO4 are presented demonstrating the high sensitivity of the method for the dynamics and ordering of small magnetic moments close to the superconducting phases. The µSR experiments give evidence for static and relatively slow dynamic magnetic correlations in these cuprates.

Energy Release Rates and Related Balance Laws in Linear Elastic Defect Mechanics

1987 ◽  
Vol 54 (2) ◽  
pp. 388-392 ◽  
Author(s):  
J. W. Eischen ◽  
G. Herrmann
Keyword(s):  
Conservation Laws ◽  
Energy Release ◽  
Thermal Effects ◽  
Balance Laws ◽  
Release Rates ◽  
Direct Derivation ◽  
Linear Elastic ◽  
Linear Dynamic ◽  
Dynamic Elasticity ◽  
Energy Release Rates

A simple and direct derivation of certain balance (or conservation) laws for linear dynamic elasticity is presented including nonhomogeneities, thermal effects, anisotropy, and body forces. Additionally, the connection between the balance laws and energy release rates for defect motions is established.

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