Abstract
Stochastic resonance is a phenomenon in which the signal response of a non-linear system is enhanced by appropriate external noise. Likewise, a similar phenomenon can be caused by deterministic chaos; this is called chaotic resonance. Devices that employ stochastic resonance have been proposed for the purpose of enhancing tactile sensitivity. However, no applications of chaotic resonance have been reported so far, even though chaotic resonance exhibits a higher sensitivity than stochastic resonance. This contrast in applications could be attributed to the fact that chaotic resonance is induced by adjusting internal parameters. In many cases, especially in biological systems, these parameters are difficult to adjust. In this study, by applying our proposed reduced region of orbit method to a neural system consisting of excitatory and inhibitory neurons, we induce chaotic resonance with signal frequency dependency against weak input signals. Furthermore, the external noise exhibits effects for both diminishing and enhancing signal responses in chaotic resonance. The outcome of this study might facilitate the development of devices utilising the mechanism of chaotic resonance.
Highlights
Over the past few decades, resonance and synchronisation phenomena in various kinds of non-linear systems, such as chemical, biological, and electrical circuit systems, have been widely investigated[1,2,3]
Intrinsic chaotic dynamics are utilised instead of external additive chaotic signals[2,25,26,27,28]
No applications have yet been reported for chaotic resonance despite the fact that it exhibits a higher sensitivity than stochastic resonance[32]
Summary
Over the past few decades, resonance and synchronisation phenomena in various kinds of non-linear systems, such as chemical, biological, and electrical circuit systems, have been widely investigated[1,2,3]. In the case of biological systems in particular, this adjustment is difficult To overcome this difficulty, we have previously proposed a chaos control method called the reduced region of orbit (RRO) method, which induces chaotic resonance using external feedback signals[37]. To realise the application of the RRO method for inducing chaotic resonances in actual biological systems, its adoption to models for neural systems must be considered Their dynamics of models for neural system have been widely investigated for continuous spiking neuron models, spiking neuron models with discontinuous resetting processes (called hybrid spiking neuron models), and discrete neural system models[43,44,45,46,47,48,49]. It is known that a discrete neural system consisting of excitatory and inhibitory neurons, as proposed by Sinha, has a structure similar to that of the cubic map, and chaotic resonance arises by adjusting the internal system parameters[31]
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