Stochastic synchronization of oscillation in dissipative systems

Afraimovich, Valentin; Verichev, N. N.; Rabinovich, M. I.

doi:10.1007/bf01034476

Cited by 439 publications

(301 citation statements)

References 4 publications

Supporting

Mentioning

285

Contrasting

Unclassified

Order By: Relevance

“…In that context, observations of complete or chaotic synchronization (32)(33)(34) support the idea that cluster partitioning in networks of coupled oscillators can take place; the network splits into several clusters of mutually synchronized oscillators (35). In addition, a model using gradient coupling (36) exemplifies that around an optimal gradient, most oscillators can be synchronized to the same frequency; oscillators with large gradient coupling can be divided into synchronized clusters of oscillators with different frequencies that still maintain high system coherence.…”

Section: Discussionmentioning

confidence: 85%

Spatio-temporal oscillations of individual mitochondria in cardiac myocytes reveal modulation of synchronized mitochondrial clusters

Kurz

Aon

O’Rourke

et al. 2010

Proc. Natl. Acad. Sci. U.S.A.

123

View full text Add to dashboard Cite

Mitochondrial networks in cardiac myocytes under oxidative stress show collective (cluster) behavior through synchronization of their inner membrane potentials (ΔΨ m ). However, it is unclear whether the oscillation frequency and coupling strength between individual mitochondria affect the size of the cluster and vice versa. We used the wavelet transform and developed advanced signal processing tools that allowed us to capture individual mitochondrial ΔΨ m oscillations in cardiac myocytes and examine their dynamic spatio-temporal properties. Heterogeneous frequency behavior prompted us to sort mitochondria according to their frequencies. Signal analysis of the mitochondrial network showed an inverse relationship between cluster size and cluster frequency as well as between cluster amplitude and cluster size. High cross-correlation coefficients between neighboring mitochondria clustered longitudinally along the myocyte striations, indicated anisotropic communication between mitochondria. Isochronal mapping of the onset of myocyte-wide ΔΨ m depolarization further exemplified heterogeneous ΔΨ m among mitochondria. Taken together, the results suggest that frequency and amplitude modulation of clusters of synchronized mitochondria arises by means of strong changes in local coupling between neighboring mitochondria.wavelets | frequency | amplitude | mitochondrial oscillator | mitochondrial coupling M itochondria in cardiac myocytes under the influence of substrate deprivation or oxidative stress have a fundamental role as determinants of cell life or death, with implications that scale to affect the function of the whole heart (1, 2). Cardiac mitochondria are organized in a highly ordered network consisting of intermyofibrillar, subcarcolemmal, and perinuclear (3) mitochondria whose coordinated function controls the energy metabolism of the myocyte (4).In cardiac myocytes, the localized perturbation of a few mitochondria within the overall mitochondrial network can trigger the transition from the physiological to the pathophysiological state by producing synchronized whole-myocyte oscillations of ΔΨ m that can be monitored with the fluorescent dye tetramethylrhodamine ethyl ester (TMRE) (5). The imbalance between reactive oxygen species (ROS) generation and ROS scavenging capacity in a significant proportion of the network (∼60%) (5) is thought to destabilize ΔΨ m beyond a critical point into a state of ROS-induced ROS release. Increased ROS overflow exceeding a threshold level results in the appearance of a spanning cluster of mitochondria oscillating in apparent synchrony throughout the cell as the mitochondrial network locks into a low-frequency, high-amplitude oscillatory mode (6, 7).In many disparate examples of physically and chemically coupled oscillators, synchronization of the system generally arises from an initial nucleus of (spontaneously) synchronized oscillators that integrate neighboring oscillators, thereby increasing the size and signal amplitude of the initial oscillatory nucleus (8-11).When the clus...

show abstract

Section: Discussionmentioning

confidence: 85%

Spatio-temporal oscillations of individual mitochondria in cardiac myocytes reveal modulation of synchronized mitochondrial clusters

Kurz

Aon

O’Rourke

et al. 2010

Proc. Natl. Acad. Sci. U.S.A.

123

View full text Add to dashboard Cite

show abstract

“…We now consider qualitatively the chaotic-synchronization phenomenon for modulation oscillations of the output-field amplitude of a gyro-CWO-CWS, using the concept of phase chaotic synchronization which is conventional when studying the phenomenon of synchronization of chaotic oscillations [55][56][57][58][59].…”

Section: Phase Synchronization Of Chaotic Oscillations Of a Gyro-cwomentioning

confidence: 99%

Synchronization of Distributed Electron–Wave Self-Oscillatory Systems with a Backward Wave

Trubet︠s︡kov

Koronovsky

Храмов

2004

Radiophysics and Quantum Electronics

View full text Add to dashboard Cite

621.385We present the results of studying the phenomenon of synchronization in distributed electronwave self-oscillatory systems with a counterpropagating wave. General laws governing the appearance of the classical synchronization in distributed systems are revealed. We propose methods for increasing the synchronization bandwidth by using the distributed input of a signal to the interaction space by means of coupled waveguide structures. Transient processes in nonautonomous self-oscillation regimes are studied. In particular, the effect of ultrafast synchronization is found. The possibility of chaotic synchronization in a gyro-oscillator with a counterpropagating wave under the action of a deterministic chaotic signal is shown. Mutual oscillation regimes in a system of two distributed oscillators with coupled waveguide systems are studied.

show abstract

“…[1], [2]. There are several kinds of synchronizations such as generalized synchronization [3], complete synchronization [4], [5], partial synchronization [6], phase synchronization [7] and almost synchronization [8]. The pioneering work [5], has increased the interest in synchronization after having recently found many applications particularly in telecommunications [9], in mechanical systems [10] and in control theory [11].…”

Section: Introductionmentioning

confidence: 99%

Implementation of partial synchronization of different chaotic systems by field programmable gate array

Eroglu

Savacı

2009

2009 European Conference on Circuit Theory and Design

View full text Add to dashboard Cite

Abstract-In this study, the synchronization of the masterslave systems has been achieved and implemented on Field Programmable Gate Array (FPGA). In this paper, the master system and the slave system have been chosen as Lorenz and Rossler systems, respectively. The feedback control rule has been derived by feedback linearization method. By feedback linearization, the coordinate transformation has been achieved then the control command for synchronization has been obtained. In order to implement designed synchronized system, Matlab Simulink design of the system has been translated to Xilinx System Generator design to generate Very-High-Speed Integrated Circuits Hardware Description Language (VHDL) code which is used to produce bitstream file. By Xilinx Integrated Software Environment (ISE) program, VHDL code is converted to bitstream file which has been embedded into FPGA by Field Upgradeable Systems Environment (FUSE). Finally, the designed synchronized system has been observed on the HP 54540C oscilloscope.

show abstract

Stochastic synchronization of oscillation in dissipative systems

Cited by 439 publications

References 4 publications

Spatio-temporal oscillations of individual mitochondria in cardiac myocytes reveal modulation of synchronized mitochondrial clusters

Spatio-temporal oscillations of individual mitochondria in cardiac myocytes reveal modulation of synchronized mitochondrial clusters

Synchronization of Distributed Electron–Wave Self-Oscillatory Systems with a Backward Wave

Implementation of partial synchronization of different chaotic systems by field programmable gate array

Contact Info

Product

Resources

About