scholarly journals Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic

2021 ◽  
Vol 102 (2) ◽  
pp. 340-356
Author(s):  
Tristram Bogart ◽  
John Goodrick ◽  
Kevin Woods
Keyword(s):  
Periodic Behavior ◽  
Presburger Arithmetic ◽  
Affine Semigroups

A Note on Patterns of Wear Within the Tread Area

1979 ◽  
Vol 7 (1) ◽  
pp. 3-13
Author(s):  
F. C. Brenner ◽  
A. Kondo
Keyword(s):  
Content Analysis ◽  
Groove Depth ◽  
Climatic Data ◽  
Periodic Behavior ◽  
Harmonic Content ◽  
Straight Line ◽  
Data Points

Abstract Tread wear data are frequently fitted by a straight line having average groove depth as the ordinate and mileage as the abscissa. The authors have observed that the data points are not randomly scattered about the line but exist in runs of six or seven points above the line followed by the same number below the line. Attempts to correlate these cyclic deviations with climatic data failed. Harmonic content analysis of the data for each individual groove showed strong periodic behavior. Groove 1, a shoulder groove, had two important frequencies at 40 960 and 20 480 km (25 600 and 12 800 miles); Grooves 2 and 3, the inside grooves, had important frequencies at 10 240, 13 760, and 20 480 km (6400, 8600, and 12 800 miles), with Groove 4 being similar. A hypothesis is offered as a possible explanation for the phenomenon.

scholarly journals The Dynamic Analysis of a Novel Reconfigurable Cubic Chaotic Map and Its Application in Finite Field

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1420
Author(s):  
Chuanfu Wang ◽  
Yi Di ◽  
Jianyu Tang ◽  
Jing Shuai ◽  
Yuchen Zhang ◽  
...  
Keyword(s):  
Secure Communication ◽  
Chaotic Map ◽  
Digital Circuit ◽  
Pseudorandom Sequence ◽  
Periodic Behavior ◽  
Output Sequence ◽  
Digital Devices ◽  
Theoretical And Numerical Analysis ◽  
Dynamic Degradation ◽  
Sequence Generator

Dynamic degradation occurs when chaotic systems are implemented on digital devices, which seriously threatens the security of chaos-based pseudorandom sequence generators. The chaotic degradation shows complex periodic behavior, which is often ignored by designers and seldom analyzed in theory. Not knowing the exact period of the output sequence is the key problem that affects the application of chaos-based pseudorandom sequence generators. In this paper, two cubic chaotic maps are combined, which have symmetry and reconfigurable form in the digital circuit. The dynamic behavior of the cubic chaotic map and the corresponding digital cubic chaotic map are analyzed respectively, and the reasons for the complex period and weak randomness of output sequences are studied. On this basis, the digital cubic chaotic map is optimized, and the complex periodic behavior is improved. In addition, a reconfigurable pseudorandom sequence generator based on the digital cubic chaotic map is constructed from the point of saving consumption of logical resources. Through theoretical and numerical analysis, the pseudorandom sequence generator solves the complex period and weak randomness of the cubic chaotic map after digitization and makes the output sequence have better performance and less resource consumption, which lays the foundation for applying it to the field of secure communication.

Flow Reversal in Opposing Mixed Convection Flow in Inclined Pipes

1989 ◽  
Vol 111 (1) ◽  
pp. 114-120 ◽  
Author(s):  
A. S. Lavine ◽  
M. Y. Kim ◽  
C. N. Shores
Keyword(s):  
Mixed Convection ◽  
Tilt Angle ◽  
Maximum Flow ◽  
Flow Reversal ◽  
Transition To Turbulence ◽  
Convection Flow ◽  
Periodic Behavior ◽  
Tube Cross Section ◽  
High Reynolds ◽  
Inclined Pipe

An experimental investigation of opposing mixed convection in an inclined pipe has been conducted. Dye injection reveals the existence of flow reversal regions. There is an optimal tilt angle that yields maximum flow reversal length. Flow reversals are seen to cause early transition to turbulence. Temperature profiles are measured across the tube cross section near the entrance to the heated section, and show the effect of tube inclination. Temperature measurements exhibit periodic behavior in the flow reversal region under some conditions, generally characterized by low tilt angle and moderate to high Reynolds and Grashof numbers. Flow visualization indicates that this periodic behavior is due to the intermittent breakdown of the flow reversal region.

scholarly journals MicroRNA-Mediated Regulation in Biological Systems with Oscillatory Behavior

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Zhiyong Zhang ◽  
Fengdan Xu ◽  
Zengrong Liu ◽  
Ruiqi Wang ◽  
Tieqiao Wen
Keyword(s):  
Cell Cycle ◽  
Biological Systems ◽  
Noncoding Rnas ◽  
Oscillatory Behavior ◽  
Fine Tuning ◽  
Base Pairing ◽  
Periodic Behavior ◽  
Small Noncoding Rnas ◽  
Regulatory Circuits ◽  
Mrna Transcripts

As a class of small noncoding RNAs, microRNAs (miRNAs) regulate stability or translation of mRNA transcripts. Some reports bring new insights into possible roles of microRNAs in modulating cell cycle. In this paper, we focus on the mechanism and effectiveness of microRNA-mediated regulation in the cell cycle. We first describe two specific regulatory circuits that incorporate base-pairing microRNAs and show their fine-tuning roles in the modulation of periodic behavior. Furthermore, we analyze the effects ofmiR369-3on the modulation of the cell cycle, confirming thatmiR369-3plays a role in shortening the period of the cell cycle. These results are consistent with experimental observations.

scholarly journals Unital affine semigroups

2013 ◽  
Vol 439 (7) ◽  
pp. 2106-2113 ◽  
Author(s):  
David W. Kribs ◽  
Jeremy Levick ◽  
Rajesh Pereira
Keyword(s):  
Affine Semigroups

Periodic behavior of locally stabilizing saturated linear controllers for the discrete-time double integrator *

2010 ◽  
Vol 43 (21) ◽  
pp. 237-241 ◽  
Author(s):  
Tao Yang ◽  
Anton A. Stoorvogel ◽  
Xu Wang ◽  
Ali Saberi
Keyword(s):  
Discrete Time ◽  
Periodic Behavior ◽  
Linear Controllers ◽  
Double Integrator
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