scholarly journals Anti-phase collective synchronization with intrinsic in-phase coupling of two groups of electrochemical oscillators

2019 ◽  
Vol 377 (2160) ◽  
pp. 20190095 ◽  
Author(s):  
Michael Sebek ◽  
Yoji Kawamura ◽  
Ashley M. Nott ◽  
István Z. Kiss
Keyword(s):  
Phase Difference ◽  
Phase Synchronization ◽  
Single Pair ◽  
Phase Coupling ◽  
Dynamical Interaction ◽  
Phase Dynamics ◽  
Internal Phase ◽  
Phase Models ◽  
External Coupling ◽  
Internal Coupling

The synchronization of two groups of electrochemical oscillators is investigated during the electrodissolution of nickel in sulfuric acid. The oscillations are coupled through combined capacitance and resistance, so that in a single pair of oscillators (nearly) in-phase synchronization is obtained. The internal coupling within each group is relatively strong, but there is a phase difference between the fast and slow oscillators. The external coupling between the two groups is weak. The experiments show that the two groups can exhibit (nearly) anti-phase collective synchronization. Such synchronization occurs only when the external coupling is weak, and the interactions are delayed by the capacitance. When the external coupling is restricted to those between the fast and the slow elements, the anti-phase synchronization is more prominent. The results are interpreted with phase models. The theory predicts that, for anti-phase collective synchronization, there must be a minimum internal phase difference for a given shift in the phase coupling function. This condition is less stringent with external fast-to-slow coupling. The results provide a framework for applications of collective phase synchronization in modular networks where weak coupling between the groups can induce synchronization without rearrangements of the phase dynamics within the groups. This article is part of the theme issue ‘Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences’.

scholarly journals Mechanisms of Flexible Information Sharing through Noisy Oscillations

Biology ◽  
2021 ◽  
Vol 10 (8) ◽  
pp. 764
Author(s):  
Arthur S. Powanwe ◽  
Andre Longtin
Keyword(s):  
Mutual Information ◽  
Information Sharing ◽  
Phase Difference ◽  
Biological Networks ◽  
Phase Synchronization ◽  
Phase Locking ◽  
Brain Area ◽  
Structural Connectivity ◽  
Field Potential ◽  
Phase Dynamics

Brain areas must be able to interact and share information in a time-varying, dynamic manner on a fast timescale. Such flexibility in information sharing has been linked to the synchronization of rhythm phases between areas. One definition of flexibility is the number of local maxima in the delayed mutual information curve between two connected areas. However, the precise relationship between phase synchronization and information sharing is not clear, nor is the flexibility in the face of the fixed structural connectivity and noise. Here, we consider two coupled oscillatory excitatory-inhibitory networks connected through zero-delay excitatory connections, each of which mimics a rhythmic brain area. We numerically compute phase-locking and delayed mutual information between the phases of excitatory local field potential (LFPs) of the two networks, which measures the shared information and its direction. The flexibility in information sharing is shown to depend on the dynamical origin of oscillations, and its properties in different regimes are found to persist in the presence of asymmetry in the connectivity as well as system heterogeneity. For coupled noise-induced rhythms (quasi-cycles), phase synchronization is robust even in the presence of asymmetry and heterogeneity. However, they do not show flexibility, in contrast to noise-perturbed rhythms (noisy limit cycles), which are shown here to exhibit two local information maxima, i.e., flexibility. For quasi-cycles, phase difference and information measures for the envelope-phase dynamics obtained from previous analytical work using the Stochastic Averaging Method (SAM) are found to be in good qualitative agreement with those obtained from the original dynamics. The relation between phase synchronization and communication patterns is not trivial, particularly in the noisy limit cycle regime. There, complex patterns of information sharing can be observed for a single value of the phase difference. The mechanisms reported here can be extended to I-I networks since their phase synchronizations are similar. Our results set the stage for investigating information sharing between several connected noisy rhythms in neural and other complex biological networks.

PHASE SYNCHRONIZATION OF LINEARLY AND NONLINEARLY COUPLED OSCILLATORS WITH INTERNAL RESONANCE

2009 ◽  
Vol 23 (30) ◽  
pp. 5715-5726
Author(s):  
YONG LIU
Keyword(s):  
Coupling Strength ◽  
Coupled Oscillators ◽  
Internal Resonance ◽  
Natural Frequencies ◽  
Phase Synchronization ◽  
Coupled Systems ◽  
Nonlinear Coupling ◽  
Linear Coupling ◽  
Phase Dynamics ◽  
Diffuse Clouds

Phase synchronization between linearly and nonlinearly coupled systems with internal resonance is investigated in this paper. By introducing the conception of phase for a chaotic motion, it demonstrates that the detuning parameter σ between the two natural frequencies ω1and ω2affects phase dynamics, and with the increase in the linear coupling strength, the effect of phase synchronization between two sub-systems was enhanced, while increased firstly, and then decayed as nonlinear coupling strength increases. Further investigation reveals that the transition of phase states between the two oscillators are related to the critical changes of the Lyapunov exponents, which can also be explained by the diffuse clouds.

PHASE DYNAMICS OF COMPLEX-VALUED NEURAL NETWORKS AND ITS APPLICATION TO TRAFFIC SIGNAL CONTROL

2005 ◽  
Vol 15 (01n02) ◽  
pp. 111-120 ◽  
Author(s):  
IKUKO NISHIKAWA ◽  
TAKESHI IRITANI ◽  
KAZUTOSHI SAKAKIBARA ◽  
YASUAKI KUROE
Keyword(s):  
Phase Synchronization ◽  
Coupled System ◽  
Traffic Signals ◽  
Activation Function ◽  
Traffic Signal Control ◽  
Phase Oscillators ◽  
Hopfield Networks ◽  
Synchronization Mechanism ◽  
Phase Dynamics ◽  
Complex Valued

Complex-valued Hopfield networks which possess the energy function are analyzed. The dynamics of the network with certain forms of an activation function is decomposable into the dynamics of the amplitude and phase of each neuron. Then the phase dynamics is described as a coupled system of phase oscillators with a pair-wise sinusoidal interaction. Therefore its phase synchronization mechanism is useful for the area-wide offset control of the traffic signals. The computer simulations show the effectiveness under the various traffic conditions.

COOPERATIVE PHASE DYNAMICS IN COUPLED NEPHRONS

2001 ◽  
Vol 15 (23) ◽  
pp. 3079-3098 ◽  
Author(s):  
D. E. POSTNOV ◽  
O. V. SOSNOVTSEVA ◽  
E. MOSEKILDE ◽  
N.-H. HOLSTEIN-RATHLOU
Keyword(s):  
Chaotic Dynamics ◽  
Phase Synchronization ◽  
Functional Unit ◽  
Flow Regulation ◽  
Tubuloglomerular Feedback ◽  
Phase Dynamics ◽  
The Individual ◽  
Fast Oscillations ◽  
Coherent Behavior ◽  
Different Time Scales

The individual functional unit of the kidney (the nephron) displays oscillations in its pressure and flow regulation at two different time scales: Relatively fast oscillations associated with the myogenic dynamics of the afferent arteriole, and slower oscillations related with a delay in the tubuloglomerular feedback. Neighboring nephrons interact via vascularly propagated signals. We study the appearance of various forms of coherent behavior in a model of two such interacting nephrons. Among the observed phenomena are in-phase and anti-phase synchronization of chaotic dynamics, multistability, and partial phase synchronization in which the nephrons attain a state of chaotic phase synchronization with respect to their slow dynamics, but the fast dynamics remains desynchronized.

Preliminary Verification of the High-Fidelity Neutronics and Thermal-Hydraulics Coupling System NECP-X/SUBSC

2017 ◽  
Author(s):  
Jun Chen ◽  
Liangzhi Cao ◽  
Zhouyu Liu ◽  
Hongchun Wu ◽  
Yijun Zhang
Keyword(s):  
Power Distribution ◽  
Coupling Method ◽  
High Fidelity ◽  
Channel Code ◽  
Thermal Hydraulics ◽  
Numerical Result ◽  
Coupling System ◽  
External Coupling ◽  
Internal Coupling ◽  
Good Agreement

PWR core phenomena can be simulated and predicted more precisely and in more details with high-fidelity neutronics and thermal-hydraulics coupling calculations. An internal coupling between a newly developed high-fidelity neutronics code NECP-X and the sub-channel code SUBSC has been realized. In order to verify the NECP-X/SUBSC coupling system, another high-fidelity neutronics and thermal-hydraulics coupling system OpenMC/SUBSC was developed through external coupling method. Both coupling systems were applied to a simplified PWR 3×3 pin cluster case. The numerical result shows good agreement in both eigenvalue and normalized axial power distribution for a selected pin, demonstrating the success of the internal coupling of NECP-X and SUBSC.

Synchronization engineering: tuning the phase relationship between dissimilar oscillators using nonlinear feedback

2010 ◽  
Vol 368 (1918) ◽  
pp. 2189-2204 ◽  
Author(s):  
Craig G. Rusin ◽  
Hiroshi Kori ◽  
István Z. Kiss ◽  
John L. Hudson
Keyword(s):  
Phase Difference ◽  
Phase Relationship ◽  
Feedback Signal ◽  
Experimental Measurements ◽  
Feedback Delay ◽  
Nonlinear Feedback ◽  
Interaction Function ◽  
Dynamical Properties ◽  
Phase Models ◽  
Time Delayed Feedback

A mild, nonlinear, time-delayed feedback signal was applied to two heterogeneous oscillators in order to synchronize their frequencies with an arbitrary and controllable phase difference. The feedback was designed using phase models constructed from experimental measurements of the intrinsic dynamical properties of the oscillators. The feedback signal produced an interaction function that corresponds to the desired collective behaviour. The synchronized phase difference between the elements can be tuned to any value on the interval 0 and 2 π by shifting the phase of the interaction function using the feedback delay. Numerical simulations were conducted and experiments carried out with electrochemical oscillators.

TRACKING PHASE SYNCHRONIZATION OF TWO COUPLED RÖSSLER OSCILLATORS WITH INTERNAL RESONANCE

2009 ◽  
Vol 23 (23) ◽  
pp. 4809-4816 ◽  
Author(s):  
YONG LIU
Keyword(s):  
Coupling Strength ◽  
Internal Resonance ◽  
Natural Frequencies ◽  
Phase Synchronization ◽  
Coupling Parameter ◽  
Primary Resonance ◽  
Coupled Systems ◽  
Nonlinear Coupling ◽  
Linear Coupling ◽  
Phase Dynamics

Phase synchronization between linearly and nonlinearly coupled systems with internal resonance is investigated in this paper. By introducing the conception of phase for a chaotic motion, we tune the linear coupling parameter to obtain the two Rössler oscillators in a synchronized regime and analyze the effect of a nonlinear coupling on the phase synchronized state. It demonstrates that the detuning parameter σ between the two natural frequencies ω1and ω2affects phase dynamics, and with the increase of the nonlinear coupling strength, for the primary resonance, the effect of phase synchronization between two sub-systems was decayed, while increasing with frequency ratio 1:2. Further investigation reveals that the transition of phase states between the two oscillators are related to the critical changes of the nonlinear coupling strength.

scholarly journals Bilateral Gamma/Delta Transcranial Alternating Current Stimulation Affects Interhemispheric Speech Sound Integration

2020 ◽  
Vol 32 (7) ◽  
pp. 1242-1250 ◽  
Author(s):  
Basil C. Preisig ◽  
Matthias J. Sjerps ◽  
Alexis Hervais-Adelman ◽  
Anne Kösem ◽  
Peter Hagoort ◽  
...  
Keyword(s):  
Auditory Cortex ◽  
Phase Synchronization ◽  
Speech Sound ◽  
Alternating Current ◽  
Phase Lag ◽  
Disruptive Effect ◽  
Phase Coupling ◽  
Gamma Frequency ◽  
Transcranial Alternating Current Stimulation ◽  
Speech Cues

Perceiving speech requires the integration of different speech cues, that is, formants. When the speech signal is split so that different cues are presented to the right and left ear (dichotic listening), comprehension requires the integration of binaural information. Based on prior electrophysiological evidence, we hypothesized that the integration of dichotically presented speech cues is enabled by interhemispheric phase synchronization between primary and secondary auditory cortex in the gamma frequency band. We tested this hypothesis by applying transcranial alternating current stimulation (TACS) bilaterally above the superior temporal lobe to induce or disrupt interhemispheric gamma-phase coupling. In contrast to initial predictions, we found that gamma TACS applied in-phase above the two hemispheres (interhemispheric lag 0°) perturbs interhemispheric integration of speech cues, possibly because the applied stimulation perturbs an inherent phase lag between the left and right auditory cortex. We also observed this disruptive effect when applying antiphasic delta TACS (interhemispheric lag 180°). We conclude that interhemispheric phase coupling plays a functional role in interhemispheric speech integration. The direction of this effect may depend on the stimulation frequency.

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