Amplification of signal response at an arbitrary node of a complex network

Zhou, Jie; Zhou, Yinzuo; Liu, Zonghua

doi:10.1103/physreve.83.046107

Cited by 21 publications

(14 citation statements)

References 13 publications

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“…Ideally, an approach that amplifies signals using only local information would be interesting to have. We are currently pursuing this direction [35].…”

Section: Discussionmentioning

confidence: 99%

Signal response amplification of scale-free networks

Liu

2011

Chin. Sci. Bull.

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In many animals and insects, hearing is very acute to the faintest of sounds; the underlying mechanism can be explained by self-tuning. Recently, signal response amplification has been shown to be implemented through networks exhibiting scale-free topology, which has potential applications in artificial information processing systems and devices. We review in this paper the main results obtained in networked double-well oscillators and briefly discuss future research directions.signal response, scale-free network, self-tuning, double-well oscillator Citation:Liu Z H. Signal response amplification of scale-free networks. Chinese Sci Bull, 2011Bull, , 56: 3623-3629, doi: 10.1007 Systems that can detect and amplify signals at specific frequencies are commonplace in the natural world and most notably in the visual and auditory systems of animals [1]. Signal detection in animals is through light-and auralsensitive organs, constituted by a large number of networked units. For example, cells in living organisms respond to their environment by an interconnected network of receptors, messengers, protein kinases and other signaling molecules [2][3][4]. One of the more prominent features of our hearing system is the ability to perceive sound stimuli that range over six orders of magnitude in sound pressure [5]. Hair cells within the cochlear are stimulated by sound waves, the induced motion being amplified at characteristic locations that depends on the frequencies of sound. These cells transmit signals to the auditory nerve [6]. It is well known that many animals and insects have the ability to detect faint sounds from their environment. Physiological evidence exists for a range of animals and insect auditory systems that this active audition is due to Hopf bifurcations [7][8][9]. Models have also been proposed to develop the underlying mechanism behind enhanced amplification in hearing systems, i.e. self-tuned critical oscillations of hair cells nearby the Hopf bifurcation. 2 , where a controls the barrier height of the potential; x=±1 are the locations of the two minima. Suppose an oscillator has probability w + (w  ) of jumping from the right (left) well to the left (right) well; then self-tuning means that the parameter a can be self-adjusted by the following equation: a t a t w t p t w t p t twhere p + (p  ) denotes the probability that the oscillator stays at x=±1. If w + and w  are small, the first term in eq.(1) will be larger than the second term and thus result in a decrease in a. For larger w + and w  , the first term in eq.(1) will be smaller than the second term and thus result in an increase in a. Therefore, the parameter a is self-tuned to an optimal value by switching probabilities w + and w  . Scientists and engineers frequently take inspiration from

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“…Ideally, an approach that amplifies signals using only local information would be interesting to have. We are currently pursuing this direction [35].…”

Section: Discussionmentioning

confidence: 99%

Signal response amplification of scale-free networks

Liu

2011

Chin. Sci. Bull.

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“…Of special relevance is the propagation and enhancement of resonant collective behaviour across a network due to the application of weak external signals because of its importance in both biological and man-made information-processing systems. In this regard, it has been recently studied the amplification of the response to weak external signals in networks of bistable signaling devices [14][15][16][17]. In these works, however, the robustness of the signal amplification against disordered distributions of external signals was not considered.…”

Section: Introductionmentioning

confidence: 99%

Drastic disorder-induced reduction of signal amplification in scale-free networks

Chacón

Martínez

2015

Phys. Rev. E

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Understanding information transmission across a network is a fundamental task for controlling and manipulating both biological and man-made information processing systems. Here, we show how topological resonant-like amplification effects in scale-free networks of signaling devices are drastically reduced when phase disorder in the external signals is considered. This is demonstrated theoretically by means of a star-like network of overdamped bistable systems, and confirmed numerically by simulations of scale-free networks of such systems. The taming effect of the phase disorder is found to be sensitive to the amplification's strength, while the topology-induced amplification mechanism is robust against this kind of quenched disorder in the sense that it does not significantly change the values of the coupling strength where amplification is maximum in its absence.

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“…It has been shown that random fluctuations can enhance the response to weak periodic driving, as observed in many different physical, chemical and biological scenarios [8][9][10]. Recently, amplified signal response in complex network of coupled oscillators has drawn considerable attention [7,[11][12][13][14][15][16]. It has been found that the weak external signals can be amplified by the heterogeneity in degree of the network [7,11,12], adaptive coupling weights between (a) hzhlj@ustc.edu.cn the signal node and its neighbors [13], neuronal diversity on complex networks [14] and a multilayer feedforward network [15].…”

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confidence: 99%

“…Recently, amplified signal response in complex network of coupled oscillators has drawn considerable attention [7,[11][12][13][14][15][16]. It has been found that the weak external signals can be amplified by the heterogeneity in degree of the network [7,11,12], adaptive coupling weights between (a) hzhlj@ustc.edu.cn the signal node and its neighbors [13], neuronal diversity on complex networks [14] and a multilayer feedforward network [15]. A one-body theory which gave analytic expressions of the gain and the degree of the unit with the maximum response to the input signal in terms of the coupling strength was also developed [16].…”

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Mobility-enhanced signal response in metapopulation networks of coupled oscillators

Shen¹,

Chen²,

Hou³

2013

EPL

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-We investigate the effect of mobility on the response of coupled oscillators to a subthreshold external signal in metapopulation networks, wherein each node represents a subpopulation with overdamped bistable oscillators that can randomly diffuse between nodes. With increasing mobility rate, the oscillators undergo transitions from intrawell to interwell motion, demonstrating clearly mobility-enhanced signal amplification. Moreover, the response shows nonmonotonic dependence on the mobility rate, i.e., a maximal gain occurs at a moderate level of mobility. This interesting phenomenon is robust against variations in the overall density, network size, as well as network topology. In addition, a simple mean-field analysis is carried out to qualitatively illustrate the simulation results.

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Amplification of signal response at an arbitrary node of a complex network

Cited by 21 publications

References 13 publications

Signal response amplification of scale-free networks

Signal response amplification of scale-free networks

Drastic disorder-induced reduction of signal amplification in scale-free networks

Mobility-enhanced signal response in metapopulation networks of coupled oscillators

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