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

Cohen, Adam B.; Ravoori, Bhargava; Sorrentino, Francesco; Murphy, Thomas E.; Ott, Edward; Roy, Rajarshi

doi:10.1063/1.3530425

Cited by 10 publications

(16 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The goal of the adaptive strategy is to adjust σ i (t) so as to maintain synchronism in the presence of slow and a priori unknown time variations of the quantities A ij (t). A similar adaptive strategy was first proposed in [12], [13] and experimentally tested for a static network of coupled opto-electronic oscillators in [14].…”

Section: Adaptive Strategymentioning

confidence: 95%

“…5 is that for this case, knowledge of σ 1 , σ 2 , and σ 3 , allows us to dynamically reconstruct the whole network adjacency matrix time evolution [14]. For example, by assuming that each agent i broadcasts information on σ i as well as on x i , the whole network topology can be reconstructed by each one of the agents.…”

Section: B Connectivity Estimationmentioning

confidence: 99%

“…References [12] and [13] present an adaptive technique to synchronize a sensor network. This strategy is tested in an experimental network of coupled opto-electronic systems in [14].…”

Section: A Related Workmentioning

confidence: 99%

See 2 more Smart Citations

Decentralized estimation of topology changes in wireless robotic networks

Bezzo

Sorrentino

Fierro

2013

2013 American Control Conference

Self Cite

View full text Add to dashboard Cite

In this paper we present a novel decentralized technique to detect changes in the topology of a mobile robotic network. The network topology evolves due to the relative motion of the robots and the presence of obstacles in the environment. We consider that each robot is equipped with a chaotic oscillator whose state is propagated to the other robots through wireless communication. Under certain conditions, the states of the oscillators may synchronize, i.e., they converge on the same dynamical time evolution. The key idea of our approach is that by receiving and conveniently using an aggregate signal from the surrounding neighbors, each node may become able to detect changes in the local network topology. We introduce an adaptive strategy that each robot independently implements to: (i) estimate the net coupling from all the oscillators in its neighborhood, and (ii) synchronize the state of its oscillator with the others. We show that by using this strategy, synchronization can be attained and changes of the network topology can be detected. Numerical simulations validate the proposed methodology.

show abstract

Section: Adaptive Strategymentioning

confidence: 95%

Section: B Connectivity Estimationmentioning

confidence: 99%

See 1 more Smart Citation

Decentralized estimation of topology changes in wireless robotic networks

Bezzo

Sorrentino

Fierro

2013

2013 American Control Conference

Self Cite

View full text Add to dashboard Cite

show abstract

“…We note that Eqs. (13), (14), and (15) provide the desired (synchronized) solution for the system of equations (11) and (12). However, other attractors for the dynamics may exist.…”

Section: Synchronization Dynamics Of Chaotic Oscillatorsmentioning

confidence: 99%

“…In what follows we regard σ i (t) as an internal adaptive parameter at each node i = 1, ..., N . We propose a decentralized adaptive strategy to independently evolve σ i (t) at each node in order to achieve dynamical approximate satisfaction of condition (13). We regard the A ij (t) as unknown at each node i, while the only external information available at node i is its received signal (12).…”

Section: Adaptive Strategymentioning

confidence: 99%

Decentralized identification and control of networks of coupled mobile platforms through adaptive synchronization of chaos

Bezzo¹,

Cruz²,

Sorrentino

et al. 2014

Physica D: Nonlinear Phenomena

Self Cite

View full text Add to dashboard Cite

In this paper we propose an application of adaptive synchronization of chaos to detect changes in the topology of a mobile robotic network. We assume that the network may evolve in time due to the relative motion of the mobile robots and due to unknown environmental conditions, such as the presence of obstacles in the environment. We consider that each robotic agent is equipped with a chaotic oscillator whose state is propagated to the other robots through wireless communication, with the goal of synchronizing the oscillators. We introduce an adaptive strategy that each agent independently implements to: (i) estimate the net coupling of all the oscillators in its neighborhood and (ii) synchronize the state of the oscillators onto the same time evolution. We show that by using this strategy, synchronization can be attained and changes in the network topology can be detected. We go one step forward and consider the possibility of using this information to control the mobile network. We show the potential applicability of our technique to the problem of maintaining a formation between a set of mobile platforms, which operate in an inhomogeneous and uncertain environment. We discuss the importance of using chaotic oscillators and validate our methodology by numerical simulations.

show abstract

Estimation of communication-delays through adaptive synchronization of chaos

Sorrentino¹,

DeLellis²

2012

Chaos, Solitons & Fractals

Self Cite

View full text Add to dashboard Cite

This paper deals with adaptive synchronization of chaos in the presence of time-varying communication-delays. We consider two bidirectionally coupled systems that seek to synchronize through a signal that each system sends to the other one and is transmitted with an unknown time-varying delay. We show that an appropriate adaptive strategy can be devised that is successful in dynamically identifying the time-varying delay and in synchronizing the two systems. The performance of our strategy with respect to the choice of the initial conditions and the presence of noise in the communication channels is tested by using numerical simulations. Another advantage of our approach is that in addition to estimating the communication-delay, the adaptive strategy could be used to simultaneously identify other parameters, such as, e.g., the unknown time-varying amplitude of the received signal

show abstract

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

Cited by 10 publications

References 28 publications

Decentralized estimation of topology changes in wireless robotic networks

Decentralized estimation of topology changes in wireless robotic networks

Decentralized identification and control of networks of coupled mobile platforms through adaptive synchronization of chaos

Estimation of communication-delays through adaptive synchronization of chaos

Contact Info

Product

Resources

About