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Delayed-feedback oscillators replicate the dynamics of multiplex networks: Wavefront propagation and stochastic
Anna Zakharova1, Vladimir V Semenov2
1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
Summary
Delayed-feedback oscillators can emulate complex neural networks, offering a more efficient path to next-generation computing. This research confirms their ability to replicate multiplex network dynamics and control wavefront propagation and stochastic resonance effects.
Area of Science:
- Physics
- Computer Science
- Nonlinear Dynamics
Background:
- Neural networks offer computational advantages but are inefficient to imitate and challenging to realize physically.
- Delayed-feedback oscillators present a viable alternative for experimental implementation of neural networks.
- Multiplex networks, comprising interconnected layers, exhibit unique properties in wavefront propagation and stochastic resonance.
Purpose of the Study:
- To demonstrate that coupled bistable delayed-feedback oscillators can emulate a multiplex network structure.
- To investigate the reproduction of multiplexing impacts on wavefront propagation and stochastic resonance in these oscillator systems.
- To explore the control of wavefront propagation and stochastic resonance by adjusting coupling strength.
Main Methods:
- Emulation of a multiplex network using coupled bistable delayed-feedback oscillators.
- Numerical simulations to analyze wavefront propagation and stochastic resonance.
- Physical experiments to validate simulation results and confirm observed phenomena.
Main Results:
- Coupled delayed-feedback oscillators successfully emulate multilayer networks connected as a multiplex network.
- The dynamics of these oscillators reproduce the effects of multiplexing on wavefront propagation and stochastic resonance.
- Adjusting coupling strength effectively controls stochastic resonance and the speed/direction of wavefront propagation.
Conclusions:
- Delayed-feedback oscillators provide a robust platform for emulating complex network dynamics, including those found in multilayer and multiplex systems.
- These findings validate the experimental feasibility of using oscillators for next-generation computing architectures.
- The precise control over wavefront propagation and stochastic resonance highlights the potential of oscillator networks in diverse applications.
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