A Geometric Approach to Phase Resetting Estimation Based on Mapping Temporal to Geometric Phase

2011 ◽  
pp. 131-162 ◽  
Author(s):  
Sorinel Adrian Oprisan
Keyword(s):  
Geometric Phase ◽  
Geometric Approach ◽  
Phase Resetting

scholarly journals Geometric phase for mixed states: a differential geometric approach

2004 ◽  
Vol 35 (3) ◽  
pp. 413-423 ◽  
Author(s):  
S. Chaturvedi ◽  
E. Ercolessi ◽  
G. Marmo ◽  
G. Morandi ◽  
N. Mukunda ◽  
...  
Keyword(s):  
Geometric Phase ◽  
Geometric Approach ◽  
Mixed States

Local Linear Approximation of the Jacobian Matrix Better Captures Phase Resetting of Neural Limit Cycle Oscillators

2014 ◽  
Vol 26 (1) ◽  
pp. 132-157 ◽  
Author(s):  
Sorinel Adrian Oprisan
Keyword(s):  
Firing Rate ◽  
Limit Cycle ◽  
Geometric Approach ◽  
External Perturbation ◽  
Phase Resetting ◽  
Transient Change ◽  
External Perturbations ◽  
Temporal Phase ◽  
The Stability ◽  
Figurative Point

One effect of any external perturbations, such as presynaptic inputs, received by limit cycle oscillators when they are part of larger neural networks is a transient change in their firing rate, or phase resetting. A brief external perturbation moves the figurative point outside the limit cycle, a geometric perturbation that we mapped into a transient change in the firing rate, or a temporal phase resetting. In order to gain a better qualitative understanding of the link between the geometry of the limit cycle and the phase resetting curve (PRC), we used a moving reference frame with one axis tangent and the others normal to the limit cycle. We found that the stability coefficients associated with the unperturbed limit cycle provided good quantitative predictions of both the tangent and the normal geometric displacements induced by external perturbations. A geometric-to-temporal mapping allowed us to correctly predict the PRC while preserving the intuitive nature of this geometric approach.

A Geometric Approach to Homology Theory

1976 ◽  
Author(s):  
S. Buonchristiano ◽  
C. P. Rourke ◽  
B. J. Sanderson
Keyword(s):  
Geometric Approach ◽  
Homology Theory

A GEOMETRIC APPROACH TO DISSIPATION AND ITS APPLICATION TO DISSIPATIVE NUCLEAR DYNAMICS

1984 ◽  
Vol 45 (C6) ◽  
pp. C6-87-C6-94
Author(s):  
H. Reinhardt ◽  
R. Balian ◽  
Y. Alhassid
Keyword(s):  
Geometric Approach ◽  
Nuclear Dynamics

Computer Modeling of a Tire under Cornering Loads

1989 ◽  
Vol 17 (2) ◽  
pp. 86-99 ◽  
Author(s):  
I. Gardner ◽  
M. Theves
Keyword(s):  
Finite Element Analysis ◽  
Geometric Approach ◽  
Lateral Force ◽  
Slip Angle ◽  
Element Analysis ◽  
Pressure Distributions ◽  
Slip Effects ◽  
Improved Accuracy ◽  
Nonlinear Geometric ◽  
Good Agreement

Abstract During a cornering maneuver by a vehicle, high forces are exerted on the tire's footprint and in the contact zone between the tire and the rim. To optimize the design of these components, a method is presented whereby the forces at the tire-rim interface and between the tire and roadway may be predicted using finite element analysis. The cornering tire is modeled quasi-statically using a nonlinear geometric approach, with a lateral force and a slip angle applied to the spindle of the wheel to simulate the cornering loads. These values were obtained experimentally from a force and moment machine. This procedure avoids the need for a costly dynamic analysis. Good agreement was obtained with experimental results for self-aligning torque, giving confidence in the results obtained in the tire footprint and at the rim. The model allows prediction of the geometry and of the pressure distributions in the footprint, since friction and slip effects in this area were considered. The model lends itself to further refinement for improved accuracy and additional applications.

Local Lattice Strain Measurement Using Geometric Phase Analysis of Dark Field Images from Scanning Transmission Electron Microscopy

2011 ◽  
Author(s):  
Jayhoon Chung ◽  
Guoda Lian ◽  
Lew Rabenberg
Keyword(s):  
Phase Analysis ◽  
Geometric Phase ◽  
Process Development ◽  
Local Strain ◽  
Strain Engineering ◽  
Dark Field ◽  
Scanning Transmission Electron ◽  
Transmission Electron ◽  
Geometric Phase Analysis ◽  
Scanning Transmission

Abstract Since strain engineering plays a key role in semiconductor technology development, a reliable and reproducible technique to measure local strain in devices is necessary for process development and failure analysis. In this paper, geometric phase analysis of high angle annular dark field - scanning transmission electron microscope images is presented as an effective technique to measure local strains in the current node of Si based transistors.

Sign in / Sign up

Export Citation Format

Share Document