# Synchronization from disordered driving forces in arrays of coupled oscillators.

@article{Brandt2006SynchronizationFD, title={Synchronization from disordered driving forces in arrays of coupled oscillators.}, author={Sebastian F. Brandt and Babette Dellen and Ralf Wessel}, journal={Physical review letters}, year={2006}, volume={96 3}, pages={ 034104 } }

The effects of disorder in external forces on the dynamical behavior of coupled nonlinear oscillator networks are studied. When driven synchronously, i.e., all driving forces have the same phase, the networks display chaotic dynamics. We show that random phases in the driving forces result in regular, periodic network behavior. Intermediate phase disorder can produce network synchrony. Specifically, there is an optimal amount of phase disorder, which can induce the highest level of synchrony…

## 36 Citations

### SYNCHRONIZATION INDUCED BY DISORDER OF PHASE DIRECTIONS

- Physics
- 2014

It is found that with the increase of the absolute value of the phase, the chaotic behaviors of the coupled arrays may be controlled and different synchronized patterns can be induced, and may provide a new insight for understanding the mechanism of disorder induced synchronization.

### Controlling chaos with localized heterogeneous forces in oscillator chains.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

It is shown that decreasing the impulse transmitted by localized external forces can suppress chaos and lead to frequency-locked states in networks of dissipative systems.

### Multi-Synchronization Caused by Uniform Disorder for Globally Coupled Maps

- Physics
- 2008

It is shown that this disorder can produce multi-synchronization for the globally coupled chaotic maps studied by the authors, implying that the disorder can tame the collective motion of the coupling chaotic maps.

### Synchronizing Chaos with Imperfections.

- PhysicsPhysical review letters
- 2021

It is shown that oscillator heterogeneity can synchronize chaos for conditions under which identical oscillators cannot, and a general mechanism based on heterogeneity-induced mode mixing that provides insights into the observed phenomenon is proposed.

### Delay-enhanced coherent chaotic oscillations in networks with large disorders.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

The coupling delay is capable of inducing phase-coherent chaotic oscillations in both types of networks, thereby enhancing the spatiotemporal complexity even in the presence of 50% of symmetric disorders of both fixed and random types.

### Synchronized patterns induced by distributed time delays.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

With an increase of the range of distributed delays, the chaotic behaviors of the coupled arrays may be controlled and different synchronized patterns can be induced and may provide further insight into information processing in neurons.

### Collective dynamics induced by diversity taken from two-point distribution in globally coupled chaotic oscillators

- Physics
- 2014

The effect of parameter mismatch (diversity) taken from two-point distribution is studied numerically and theoretically in globally coupled Rössler chaotic systems. Two cases including mixed…

### Controlling spatiotemporal chaos in chains of dissipative Kapitza pendula.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

The effectiveness of the Melnikov analysis and numerical results show that the initial phase difference between the two excitations plays a fundamental role in the control scenario and synchronization-induced homogeneous regularization of chaotic chains can be highly enhanced by considering time-varying couplings instead of stationary couplings.

### Synchronization of coupled biological oscillators under spatially heterogeneous environmental forcing.

- PhysicsJournal of theoretical biology
- 2008

## References

SHOWING 1-10 OF 52 REFERENCES

### Taming chaos by impurities in two-dimensional oscillator arrays.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2001

It is shown that a single impurity can produce synchronized spatiotemporal patterns, even though all oscillators and the impurity are chaotic when uncoupled.

### Spatiotemporal organization of coupled nonlinear pendula through impurities

- Physics
- 1998

We study the effect of impurities introduced into a lattice and their ability to control the dynamical behavior of arrays of coupled nonlinear chaotic oscillators. In particular we show that under…

### Self-organization of coupled nonlinear oscillators through impurities

- Physics
- 1998

The effects of impurities introduced into a lattice of strongly coupled oscillators are studied. Contrary to our expectations, a single impurity can control the chaotic behavior of a long array of…

### Taming spatiotemporal chaos with disorder

- PhysicsNature
- 1995

DISORDERand noise in physical systems usually tend to destroy spatial and temporal regularity, but recent research into nonlinear systems provides intriguing counterexamples. In the phenomenon of…

### Synchronization: Theory and Application

- Physics
- 2003

Cycling attractors of coupled cell systems and dynamics with symmetry.- Modelling diversity by chaos and classification by synchronization.- Basic Principles of Direct Chaotic Communications.-…

### Ordering chaos by random shortcuts.

- PhysicsPhysical review letters
- 2003

It is shown that random shortcuts can induce periodic synchronized spatiotemporal motions, even though all oscillators are chaotic when uncoupled, implying that topological randomness can tame spatiotmporal chaos.

### Control of chaos via an unstable delayed feedback controller.

- PhysicsPhysical review letters
- 2001

A modified scheme based on an unstable delayed feedback controller for stabilizing unstable periodic orbits embedded in chaotic attractors and shows efficiency for an unstable fixed point of a simple dynamic model and an unstable periodic orbit of the Lorenz system.

### Emergence of Spontaneous Rhythm Disorders in Self-Assembled Networks of Heart Cells

- Physics
- 1999

A noninvasive optical recording technique is introduced to study the spontaneous contractile activity
in self-assembled heart cell networks. Continuous monitoring throughout the lifetime of the…