scholarly journals Two types of quasiperiodic partial synchrony in oscillator ensembles

2015 ◽  
Vol 92 (1) ◽  
Author(s):  
Michael Rosenblum ◽  
Arkady Pikovsky
Keyword(s):  
1973 ◽  
Vol 13 (3) ◽  
pp. 889-900
Author(s):  
HIROSHI MIYAMOTO ◽  
L. RASMUSSEN ◽  
E. ZEUTHEN

As L cells go through their growth-division cycle they acquire the capacity to respond progressively more strongly to certain standard changes in the temperature of the environment. Using techniques described earlier, we found that chilling to 1, 6 or 10 °C for 1 h had little effect on the timing of the forthcoming division. Conversely, heating for 1 h to temperatures between 41 and 42 °C had a strong effect. Generally, the older the cell when heated, the more extended is its generation time; in other words, the longer is the forthcoming division postponed. We found evidence that late in the cycle the cells undergo transition from a state in which they are maximally delayed with respect to the performance of a division to one in which they are less delayed. We attempted to synchronize cell divisions with single and with series of heat shocks (41.6 °C for 1 h). Like our predecessors in the field, we obtained only partial synchrony. However, because L cells appear to prepare for division between shocks, and because heat shocks tend to reverse such preparations for division, we find reason to continue these experiments, using previous experience with Tetrahymena and Schizosaccharomyces as a guide. Both the latter cells respond to proper temperature treatment with synchronous cell division.


2008 ◽  
pp. 198-202 ◽  
Author(s):  
Bernadette Charron-Bost ◽  
André Schiper
Keyword(s):  

2007 ◽  
Vol 17 (08) ◽  
pp. 2595-2603 ◽  
Author(s):  
M. GOLUBITSKY ◽  
M. KRUPA

Vanderbauwhede and van Gils, Krupa, and Langford studied unfoldings of bifurcations with purely imaginary eigenvalues and a nonsemisimple linearization, which generically occurs in codimension three. In networks of identical coupled ODE these nilpotent Hopf bifurcations can occur in codimension one. Elmhirst and Golubitsky showed that these bifurcations can lead to surprising branching patterns of periodic solutions, where the type of bifurcation depends in part on the existence of an invariant subspace corresponding to partial synchrony. We study the stability of some of these bifurcating solutions. In the absence of partial synchrony the problem is similar to the generic codimension three problem. In this case we show that the bifurcating branches are generically unstable. When a synchrony subspace is present we obtain partial stability results by using only those near identity transformations that leave this subspace invariant.


2012 ◽  
Vol 25 (3) ◽  
pp. 249-260 ◽  
Author(s):  
Marcos K. Aguilera ◽  
Carole Delporte-Gallet ◽  
Hugues Fauconnier ◽  
Sam Toueg
Keyword(s):  

1988 ◽  
Vol 35 (2) ◽  
pp. 288-323 ◽  
Author(s):  
Cynthia Dwork ◽  
Nancy Lynch ◽  
Larry Stockmeyer
Keyword(s):  

2021 ◽  
Author(s):  
Michael W. Konrad

Abstract BackgroundTunicates comprise an invertebrate, chordate subphylum which has been shown to be the closest group to vertebrates. Colonial tunicates are clusters of genetic clones generated asexually from a single free swimming larval “tadpole”. Each individual, or zooid, of the colony has a peristaltic heart which circulates blood through that individual. In addition, each zooid is connected to a common, external vascular network. This vascular network has radial extensions that end at the colony periphery in bulbs, or ampullae, which contract and expand to generate reciprocating flow between ampullae and zooids. Surgically detached ampullae continue to beat.ResultsQuantitative scans of videos of individual ampullae in a young Botrylloides viocella colony demonstrate ampullae contractions are often in phase, with occasional abrupt phase shifts out of and back to synchrony. The vessels connecting the ampullae to the zooid also contract, mostly in phase with the ampullae. Total volumes pumped by this colonial system are a significant fraction of the zooid volume, since it contracts 180 degrees out of phase and at the same frequency as the ampullae. Reversals of the peristaltic heart are at least partially synchronized with ampullae contractions. Ampullae that have been surgically detached from the colony contract at a more uniform rate with more symmetrical profiles than when part of the colony. ConclusionContractions of the ampullae and associated vessels pump sufficient blood in and out of the zooid that they should be considered functional hearts, and the partial synchrony of ampullae contractions results in a larger blood flow compared to an alternative asynchronous contraction pattern. The manner in which the ampullae abruptly fall out of and back to synchrony indicates synchrony is due to entrainment while the out of phase contractions of the zooid may be a direct result of pumping. The shape of contraction curves of detached ampullae pairs is almost indistinguishable from a pure sine wave, indicating that the more complex original pattern was due to interactions between out of phase ampullae. Ampullae and associated vessels might be analogous with the system of lymphatic vessels in vertebrates.


Nature ◽  
1963 ◽  
Vol 197 (4862) ◽  
pp. 104-105 ◽  
Author(s):  
JESSE E. SISKEN

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