# Adaptive synchronization of coupled chaotic oscillators.

@article{Ravoori2009AdaptiveSO, title={Adaptive synchronization of coupled chaotic oscillators.}, author={Bhargava Ravoori and Adam B. Cohen and Anurag V Setty and Francesco Sorrentino and Thomas E. Murphy and Edward Ott and Rajarshi Roy}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2009}, volume={80 5 Pt 2}, pages={ 056205 } }

We experimentally demonstrate and numerically simulate an adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to environmental parameter drift). The technique is applied to optoelectronic feedback loops exhibiting high-dimensional chaotic dynamics. In addition to keeping the two systems isochronally synchronized in the presence of a priori unknown time-varying coupling strength…

## 35 Citations

Dynamic synchronization of a time-evolving optical network of chaotic oscillators.

- PhysicsChaos
- 2010

A technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying is presented.

Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

- PhysicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2010

A flexible and modular delayed-feedback nonlinear oscillator that is capable of generating a wide range of dynamical behaviours, from periodic oscillations to high-dimensional chaos is described and a new adaptive control method is demonstrated that keeps two oscillators synchronized, even when the coupling between them is changing unpredictably.

Pulsed chaos synchronization in networks with adaptive couplings.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

Numerical simulations of a coupled map lattice show chaotic trajectories of desynchronized units interrupted by pulses of mutually synchronized clusters that occur on all scales, sometimes extending to the entire network.

The stability of adaptive synchronization of chaotic systems.

- PhysicsChaos
- 2010

This work develops an extension of the master stability function technique to study synchronization stability with adaptive coupling and examines the local stability of synchronization for typical chaotic orbits and for unstable periodic orbits within the synchronized chaotic attractor (bubbling).

Complete chaotic synchronization and exclusion of mutual Pyragas control in two delay-coupled Rössler-type oscillators.

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

It is found that the conditions for longitudinal and transversal stability largely exclude each other and prevent, e.g., the synchronization of Pyragas-controlled orbits.

Synchronized Hopf Bifurcation Analysis in a Delay-Coupled Semiconductor Lasers System

- MathematicsJ. Appl. Math.
- 2012

The dynamics of a system of two semiconductor lasers, which are delay coupled via a passive relay within the synchronization manifold, are investigated and an algorithm is derived for determining the Hopf bifurcation properties.

Synchronization in small networks of time-delay coupled chaotic diode lasers.

- PhysicsOptics express
- 2012

Topologies of two, three and four time-delay-coupled chaotic semiconductor lasers are experimentally and theoretically found to show new types of synchronization, opening possibilities for advanced multi-user communication protocols.

Synchronization of Network Coupled Chaotic and Oscillatory Dynamical Systems

- Physics
- 2013

A recent exact solution technique developed for all-to-all connected Kuramoto oscillators is extended to certain types of networks by considering large ensembles of system realizations, demonstrating that the microscopic dynamics arise from single oscillators interacting with the mean field.

Experimental study on synchronizing spatiotemporal chaos via active-passive decomposition

- Physics, Computer Science2011 IEEE International Conference on Mechatronics and Automation
- 2011

The synchronization conditions are given for any size in theory and demonstrated in the experiment, and the simulation results are in agreement with the ones obtained by simulating numerically and analyzing theoretically.

Synchronization of Chaotic Optoelectronic Oscillators: Adaptive Techniques and the Design of Optimal Networks

- Physics, Computer Science
- 2011

It is found that the convergence rate is maximized for certain network configurations, called optimal networks, which are identified based on the eigenvalues of the coupling matrix, and a classification system is introduced that categorizes networks according to their sensitivity to coupling perturbations as sensitive and nonsensitive configurations.

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