Transmitting a signal by amplitude modulation in a chaotic network
arXiv:nlin/0506061 · doi:10.1063/1.2126813
Abstract
We discuss the ability of a network with non linear relays and chaotic dynamics to transmit signals, on the basis of a linear response theory developed by Ruelle \cite{Ruelle} for dissipative systems. We show in particular how the dynamics interfere with the graph topology to produce an effective transmission network, whose topology depends on the signal, and cannot be directly read on the ``wired'' network. This leads one to reconsider notions such as ``hubs''. Then, we show examples where, with a suitable choice of the carrier frequency (resonance), one can transmit a signal from a node to another one by amplitude modulation, \textit{in spite of chaos}. Also, we give an example where a signal, transmitted to any node via different paths, can only be recovered by a couple of \textit{specific} nodes. This opens the possibility for encoding data in a way such that the recovery of the signal requires the knowledge of the carrier frequency \textit{and} can be performed only at some specific node.
19 pages, 13 figures, submitted (03-03-2005)
References in corpus (6)
- Emergence of scaling in random networks
- Statistical mechanics of complex networks
- The statistical mechanics of networks
- Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
- Epidemic thresholds on scale-free graphs: the interplay between exponent and preferential choice
- Stable resonances and signal propagation in a chaotic network of coupled units
Cited by in corpus (14)
- Generalized synchronization of chaos for secure communication: remarkable stability to noise
- Spectral properties of complex networks
- A discrete time neural network model with spiking neurons II. Dynamics with noise
- Linear response, susceptibility and resonances in chaotic toy models
- On Dynamics of Integrate-and-Fire Neural Networks with Conductance Based Synapses
- A view of Neural Networks as dynamical systems
- Apparent remote synchronization of amplitudes: a demodulation and interference effect
- Linear response in neuronal networks: from neurons dynamics to collective response
- A discrete time neural network model with spiking neurons. Rigorous results on the spontaneous dynamics
- Extreme-value statistics of networks with inhibitory and excitatory couplings
- Effect of noise on generalized synchronization of chaos: theory and experiment
- Does the complex susceptibility of the Henon map have a pole in the upper-half plane ? A numerical investigation
- Linear response for spiking neuronal networks with unbounded memory
- From Neuron to Neural Networks dynamics