Global stability at a limit cycle of switched Boolean networks under arbitrary switching signals

2014 ◽  
Vol 133 ◽  
pp. 63-66 ◽  
Author(s):  
Fangfei Li
Keyword(s):  
Global Stability ◽  
Limit Cycle ◽  
Boolean Networks ◽  
Arbitrary Switching

scholarly journals Cyclic Growth and Global Stability of Economic Dynamics of Kaldor Type in Two Dimensions

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Aka Fulgence Nindjin ◽  
Albin Tetchi N’Guessan ◽  
Hypolithe Okou ◽  
Kessé Thiban Tia
Keyword(s):  
Global Stability ◽  
Limit Cycle ◽  
Two Dimensions ◽  
Saving Rate ◽  
Bounded Solutions ◽  
Economic Dynamics ◽  
Local And Global Stability ◽  
Investment Rate ◽  
Stability Of Equilibrium

This article proposes nonlinear economic dynamics continuous in two dimensions of Kaldor type, the saving rate and the investment rate, which are functions of ecological origin verifying the nonwasting properties of the resources and economic assumption of Kaldor. The important results of this study contain the notions of bounded solutions, the existence of an attractive set, local and global stability of equilibrium, the system permanence, and the existence of a limit cycle.

Global stability at a limit cycle for switched multi‐valued logical networks

2020 ◽  
Author(s):  
Pengfei Sun ◽  
Xudong Zhao ◽  
Tao Sun ◽  
Ning Xu ◽  
Guandeng Zong
Keyword(s):  
Global Stability ◽  
Limit Cycle

ON THE LIMIT CYCLE STRUCTURE OF THRESHOLD BOOLEAN NETWORKS OVER COMPLETE GRAPHS

2004 ◽  
Vol 14 (03) ◽  
pp. 209-215 ◽  
Author(s):  
GEORGE VOUTSADAKIS
Keyword(s):  
Fixed Points ◽  
Limit Cycle ◽  
Polynomial Time ◽  
Simple Algorithm ◽  
Boolean Networks ◽  
Complete Graphs ◽  
Cycle Structure ◽  
Arbitrary Length ◽  
Limit Structure

In previous work, the limit structure of positive and negative finite threshold boolean networks without inputs (TBNs) over the complete digraph Kn was analyzed and an algorithm was presented for computing this structure in polynomial time. Those results are generalized in this paper to cover the case of arbitrary TBNs over Kn. Although the limit structure is now more complicated, containing, not only fixed-points and cycles of length 2, but possibly also cycles of arbitrary length, a simple algorithm is still available for its determination in polynomial time. Finally, the algorithm is generalized to cover the case of symmetric finite boolean networks over Kn.

A model for numerical evaluation of the global stability region in power systems determined by a nonlinear limit cycle

2003 ◽  
Vol 144 (3) ◽  
pp. 17-27
Author(s):  
Masayuki Watanabe ◽  
Peiyun Miao ◽  
Yasunori Mitani ◽  
Kiichiro Tsuji
Keyword(s):  
Power Systems ◽  
Global Stability ◽  
Limit Cycle ◽  
Stability Region ◽  
Numerical Evaluation

scholarly journals GLOBAL STABILITY, LIMIT CYCLES AND CHAOTIC BEHAVIORS OF SECOND ORDER INTERPOLATIVE SIGMA DELTA MODULATORS

2011 ◽  
Vol 21 (06) ◽  
pp. 1755-1772 ◽  
Author(s):  
CHARLOTTE YUK-FAN HO ◽  
BINGO WING-KUEN LING ◽  
JOSHUA D. REISS ◽  
XINGHUO YU
Keyword(s):  
Global Stability ◽  
Limit Cycle ◽  
Phase Plane ◽  
Signal To Noise Ratio ◽  
Stability Limit ◽  
Second Order ◽  
Specific Class ◽  
Sigma Delta ◽  
Sigma Delta Modulators ◽  
Input Signals

It is well known that second order lowpass interpolative sigma delta modulators (SDMs) may suffer from instability and limit cycle problems when the magnitudes of the input signals are at large and at intermediate levels, respectively. In order to solve these problems, we propose to replace the second order lowpass interpolative SDMs to a specific class of second order bandpass interpolative SDMs with the natural frequencies of the loop filters very close to zero. The global stability property of this class of second order bandpass interpolative SDMs is characterized and some interesting phenomena are discussed. Besides, conditions for the occurrence of limit cycle and fractal behaviors are also derived, so that these unwanted behaviors will not happen or can be avoided. Moreover, it is found that these bandpass SDMs may exhibit irregular and conical-like chaotic patterns on the phase plane. By utilizing these chaotic behaviors, these bandpass SDMs can achieve higher signal-to-noise ratio (SNR) and tonal suppression than those of the original lowpass SDMs.

scholarly journals Complexity of Limit-Cycle Problems in Boolean Networks

2021 ◽  
pp. 135-146 ◽  
Author(s):  
Florian Bridoux ◽  
Caroline Gaze-Maillot ◽  
Kévin Perrot ◽  
Sylvain Sené
Keyword(s):  
Limit Cycle ◽  
Boolean Networks
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