Control of bifurcation-delay of slow passage effect by delayed self-feedback

2017 ◽  
Vol 27 (1) ◽  
pp. 013104 ◽  
Author(s):  
D. Premraj ◽  
K. Suresh ◽  
Tanmoy Banerjee ◽  
K. Thamilmaran
Keyword(s):  
Passage Effect ◽  
Bifurcation Delay ◽  
Slow Passage

The slow passage through a steady bifurcation: Delay and memory effects

1987 ◽  
Vol 48 (5-6) ◽  
pp. 1059-1070 ◽  
Author(s):  
Paul Mandel ◽  
Thomas Erneux
Keyword(s):  
Memory Effects ◽  
Bifurcation Delay ◽  
Slow Passage

SYNCHRONIZATION OF REGULAR AND CHAOTIC OSCILLATIONS: THE ROLE OF LOCAL DIVERGENCE AND THE SLOW PASSAGE EFFECT — A Case Study on Calcium Oscillations

2004 ◽  
Vol 14 (08) ◽  
pp. 2735-2751 ◽  
Author(s):  
MATJAŽ PERC ◽  
MARKO MARHL
Keyword(s):  
Second Messengers ◽  
Calcium Oscillations ◽  
Chaotic Oscillations ◽  
Passage Effect ◽  
Coupled Cells ◽  
System Properties ◽  
Living Organisms ◽  
Slow Passage

In this paper, coupling properties of regular and chaotic calcium oscillations are examined. Synchronized calcium signals among coupled cells in tissue, where calcium ions were found to be one of the most important second messengers, have proven indispensable for proper and reliable functioning of living organisms. When modeling such systems, it is of particular interest to determine, which internal system properties guarantee best coupling abilities and herewith physiologically the most efficient signal transduction between cells. We found that local contractive properties of attractors in phase space, quantified by the local divergence, represent one of the crucial system properties that determine synchronization abilities of coupled regular and chaotic oscillators. In particular, parts of attractors with close to zero local divergence largely facilitate synchronization of initially unsynchronized oscillators. For bursting oscillations, this is fully in agreement with previous studies showing that synchronization abilities of bursters are closely related with the slow passage effect. We extended this concept with the help of local divergence and succeeded to apply our theory also to other oscillatory regimes, like regular spiking and complex chaotic oscillations.

Slow passage through the laser first threshold

1989 ◽  
Vol 39 (10) ◽  
pp. 5179-5188 ◽  
Author(s):  
Thomas Erneux ◽  
Paul Mandel
Keyword(s):  
Slow Passage

Comparison Between Three Commonly Used Large-Bore Aspiration Catheters in Terms of Successful Recanalization and First-Passage Effect

2021 ◽  
Vol 30 (3) ◽  
pp. 105566
Author(s):  
Vittorio Semeraro ◽  
Iacopo Valente ◽  
Pietro Trombatore ◽  
Maria Porzia Ganimede ◽  
Alessandra Briatico ◽  
...  
Keyword(s):  
First Passage ◽  
Passage Effect

Slow–Fast Behaviors and Their Mechanism in a Periodically Excited Dynamical System with Double Hopf Bifurcations

2021 ◽  
Vol 31 (08) ◽  
pp. 2130022
Author(s):  
Miaorong Zhang ◽  
Xiaofang Zhang ◽  
Qinsheng Bi
Keyword(s):  
Dynamical System ◽  
Hopf Bifurcation ◽  
Frequency Domain ◽  
Autonomous System ◽  
Single Mode ◽  
Phase Portraits ◽  
Hopf Bifurcations ◽  
Double Hopf Bifurcation ◽  
Exciting Frequency ◽  
Slow Passage

This paper focuses on the influence of two scales in the frequency domain on the behaviors of a typical dynamical system with a double Hopf bifurcation. By introducing an external periodic excitation to the normal form of the vector field with double Hopf bifurcation at the origin and taking the exciting frequency far less than the natural frequency, a theoretical model with two scales in the frequency domain is established. Regarding the whole exciting term as a slow-varying parameter leads to a generalized autonomous system, in which the equilibrium branches and their bifurcations with the variation of the slow-varying parameter can be derived. With the increase of the exciting amplitude, different types of bifurcations may be involved in the generalized autonomous system, resulting in several qualitatively different forms of bursting attractors, the mechanism of which is presented by overlapping the transformed phase portraits and the bifurcations of the equilibrium branches. It is found that the single mode 2D torus may evolve to the bursting attractors with mixed modes, in which the trajectory alternates between the single mode oscillations and the mixed mode oscillations. Furthermore, the transitions between the quiescent states and the spiking states may not occur exactly at the bifurcation points because of the slow passage effect, while Hopf bifurcations may cause different forms of repetitive spiking oscillations.

scholarly journals Passage Effect on Aging of Human Umbilical Cord Derived Mesenchymal Stem Cell

2015 ◽  
Vol 15 (3) ◽  
pp. 170-177 ◽  
Author(s):  
Dian Mediana ◽  
Isabella Kurnia Liem ◽  
Jeanne Adiwinata Pawitan ◽  
Noviyanti Goei
Keyword(s):  
Stem Cell ◽  
Mesenchymal Stem Cell ◽  
Umbilical Cord ◽  
Human Umbilical Cord ◽  
Passage Effect
Sign in / Sign up

Export Citation Format

Share Document