scholarly journals Generalized Convexity Properties and Shape-Based Approximation in Networks Reliability

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3182
Author(s):  
Gabriela Cristescu ◽  
Vlad-Florin Drăgoi ◽  
Sorin Horaţiu Hoară
Keyword(s):  
Generalized Convexity ◽  
Low Complexity ◽  
Small Error ◽  
Spline Functions ◽  
Shape Preserving ◽  
Quadratic Spline ◽  
Minimal Network ◽  
Convexity Properties ◽  
Minimal Networks ◽  
Accuracy Of Approximation

Some properties of generalized convexity for sets and functions are identified in case of the reliability polynomials of two dual minimal networks. A method of approximating the reliability polynomials of two dual minimal network is developed based on their mutual complementarity properties. The approximating objects are from the class of quadratic spline functions, constructed based on both interpolation conditions and shape knowledge. It is proved that the approximant objects preserve both the high-order convexity and some extremum properties of the exact reliability polynomials. It leads to pointing out the area of the network where the maximum number of paths is achieved. Numerical examples and simulations show the performance of the algorithm, both in terms of low complexity, small error and shape preserving. Possibilities of increasing the accuracy of approximation are discussed.

scholarly journals Incoherent modulation of bi-stable dynamics orchestrates the Mushroom and Isola bifurcations

2021 ◽  
Author(s):  
Amitava Giri ◽  
Sandip Kar
Keyword(s):  
Steady State ◽  
Complex Networks ◽  
Cell Fate ◽  
Bifurcation Analysis ◽  
Positive Feedback ◽  
Biological Networks ◽  
Network Motifs ◽  
Minimal Network ◽  
Different Types ◽  
Minimal Networks

AbstractIn biological networks, steady state dynamics of cell-fate regulatory genes often exhibit Mushroom and Isola kind of bifurcations. How these complex bifurcations emerge for these complex networks, and what are the minimal network structures that can generate these bifurcations, remain elusive. Herein, by employing Waddington’s landscape theory and bifurcation analysis, we have shown that both Mushroom and Isola bifurcations can be realized with four minimal network motifs that are constituted by combining positive feedback motifs with different types of incoherent feedback motifs. Our study demonstrates that the intrinsic bi-stable dynamics due to the presence of the positive feedback motif can be fine-tuned by altering the extent of the incoherence of these proposed minimal networks to orchestrate these complex bifurcations. These modeling insights will be useful in identifying and analyzing possible network motifs that may give rise to either Mushroom or Isola bifurcation in other biological systems.

Analysis of switched quantizer based on the quadratic spline functions

2017 ◽  
Vol 94 (12) ◽  
pp. 2348-2355
Author(s):  
Zoran Peric ◽  
Jelena Nikolic ◽  
Lazar Velimirovic ◽  
Stefan Panic ◽  
Miomir Stankovic
Keyword(s):  
Spline Functions ◽  
Quadratic Spline

The Design of Speed Detector Based on Wireless Sensor Network

2013 ◽  
Vol 457-458 ◽  
pp. 1074-1081
Author(s):  
Xiang Hong Kong ◽  
Yang Xue Guo ◽  
Zhi Fei Hu ◽  
Wei Guo Qian ◽  
Ke Xiang Lu ◽  
...  
Keyword(s):  
Wireless Sensor Network ◽  
Sensor Network ◽  
Transit Time ◽  
High Speed ◽  
Low Cost ◽  
Low Complexity ◽  
Small Error ◽  
Wireless Sensor ◽  
Single Chip ◽  
Ultrasound Velocimetry

An ultrasound velocimetry system based on single-chip CC2530 was designed, this combined the transit-time velocimetry and Doppler velocimetry, achieving the monitoring of wireless sensor network to the speed of the car. The Proteus software simulates the hardware circuits of the ultrasonic transmitter and receiver module. An ultrasound velocimetry system measures high-speed by the ultrasonic Doppler principle, it measures low-speed through the transit-time principle, the speedometer system was verified by the simulation technology. The design has a low complexity, low power, low cost, small error, application and so on.

Sign in / Sign up

Export Citation Format

Share Document