Positive and negative couplings perform complementary roles in the signal amplification of globally coupled bistable oscillators

Liang, Xiaoming; Liu, Cong; Zhang, Xiyun

doi:10.1103/physreve.101.022205

Cited by 21 publications

(5 citation statements)

References 41 publications

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“…( 14), the average activity y oscillates about the stable fixed point y * = 0 under a subthreshold force while it diverges under a suprathreshold force. [47] This is because Eq. ( 14) is derived from the asynchronization condition z 2 = 1 − 3y 2 − θ λ ; when λ ≥ λ c2 , the asynchronization condition is no longer satisfied and thus equation ( 14) becomes incorrect (divergence).…”

Section: Discussionmentioning

confidence: 99%

Influence of coupling asymmetry on signal amplification in a three-node motif

et al. 2023

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The three-node feedforward motif has been revealed to function as a weak signal amplifier. In this motif, two nodes (input nodes) receive a weak input signal and send it unidirectionally to the third node (output node). Here, we change the motif's unidirectional couplings (feedforward) to bidirectional couplings (feedforward and feedback working together). We find that a small asymmetric coupling, in which the feedforward effect is stronger than the feedback effect, may enable the three-node motif to go through two distinct dynamic transitions, giving rise to a double resonant signal response. We present an analytical description of the double resonance, which agrees with the numerical findings.

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Section: Discussionmentioning

confidence: 99%

Influence of coupling asymmetry on signal amplification in a three-node motif

et al. 2023

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“…This phenomenon may occur in nonlinear complex systems, and both the mode of coupling and the topology of complex networks can lead to amplitude amplification, as referenced in Refs. [52,53]. As depicted in Fig.…”

Section: Stochastic Resonancementioning

confidence: 99%

Effects of asymmetric coupling and boundary on the dynamic behaviors of a random nearest neighbor coupled system

Xu 徐,

Jiang 姜

2024

Chinese Phys. B

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This study investigates the dynamical behaviors of nearest neighbor asymmetric coupled systems in confined spaces. First, the study derivates analytical stability and synchronization conditions for the asymmetrically coupled system in an unconfined space, which are then validated through numerical simulations. Simulation results show that asymmetric coupling has a significant impact on synchronization conditions. Moreover, it is observed that irrespective of whether the system is confined, an increase in coupling asymmetry leads to a hastened synchronization pace. Additionally, the study examines the effects of boundaries on the system’s collective behaviors via numerical experiments. The presence of boundaries ensures the system’s stability and synchronization, and reducing these boundaries can expedite the synchronization process and amplify its effects. Finally, the study reveals that the system’s output amplitude exhibits stochastic resonance as the confined boundary size increases.

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“…For the situation of pairwise correlated higher-order coupling diversity, we assume that the collective oscillations are composed of two distinct oscillating clusters: the sharp oscillation s 1 (t) and the slight joggle s 2 (t) of the positive and negative higher-order-coupled entities, respectively [50]. The perfect synchronous oscillation in each cluster is considered for the analyses [52]. As a consequence, the collective dynamics of Eq.…”

Section: A Overdamped Bistable Oscillatorsmentioning

confidence: 99%

“…Assuming the change of C v (t) is much slower than S(t), we obtain the dynamic of C v (t) by the adiabatic elimination ap-proach [52] as…”

Section: A Overdamped Bistable Oscillatorsmentioning

confidence: 99%

Resonance induced by higher-order coupling diversity

Liu¹,

Wang²,

Wu³

et al. 2022

Preprint

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The studies of collective oscillations induced by higher-order interactions point out the necessity of group effect in coupling modelization. As yet the related advances are mainly concentrated on nonlinear coupling patterns and cannot be straightforwardly extended to the linear ones. In present work, we introduce the standard deviation of dynamic behavior for the interacting group to complement the higher-order effect that beyond pairwise in diffusive coupling. By doing so, the higher-order effect can be flexibly extended to the linearly coupled system. We leverage this modelization to embrace the influence of heterogeneous higher-order coupling, including promoting and inhibiting effects, on the signal response for two conventional models, the globally coupled overdamped bistable oscillators and excitable FitzHugh-Nagumo neurons. Particularly, we numerically and analytically reveal that the optimal signal response can be obtained by an intermediate degree of higher-order coupling diversity for both systems. This resonant signal response stems from the competition between dispersion and aggregation induced by heterogeneous higher-order and positive pairwise couplings, respectively. Our results contribute to a better understanding of the signal propagation in linearly coupled systems.

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Positive and negative couplings perform complementary roles in the signal amplification of globally coupled bistable oscillators

Cited by 21 publications

References 41 publications

Influence of coupling asymmetry on signal amplification in a three-node motif

Influence of coupling asymmetry on signal amplification in a three-node motif

Effects of asymmetric coupling and boundary on the dynamic behaviors of a random nearest neighbor coupled system

Resonance induced by higher-order coupling diversity

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