Trade-off between coherence and dissipation for excitable phase oscillators
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913622754590720 |
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| author | Zheng, Chunming |
| author_facet | Zheng, Chunming |
| contents | Thermodynamic uncertainty relation (TUR) bounds coherence in stochastic oscillatory systems. In this paper, we show that both dynamical and thermodynamic bounds play important roles for the excitable oscillators, e.g. neurons. Firstly, we investigate the trade-off between coherence and dissipation both in the sub and super-threshold regions for a single excitable unit, where both the TUR and the SNIC bounds constrain the fluctuation of inter-spike intervals. Secondly, we show that the widely studied phenomenon called coherence resonance, where there exists a noise strength to make the oscillatory responses of the system most coherent, is also bounded by the TUR in the one-dimensional excitable phase model. Finally, we study the coherence-dissipation relation in ensembles of strongly coupled excitable oscillators. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_16603 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Trade-off between coherence and dissipation for excitable phase oscillators Zheng, Chunming Statistical Mechanics Disordered Systems and Neural Networks Adaptation and Self-Organizing Systems Thermodynamic uncertainty relation (TUR) bounds coherence in stochastic oscillatory systems. In this paper, we show that both dynamical and thermodynamic bounds play important roles for the excitable oscillators, e.g. neurons. Firstly, we investigate the trade-off between coherence and dissipation both in the sub and super-threshold regions for a single excitable unit, where both the TUR and the SNIC bounds constrain the fluctuation of inter-spike intervals. Secondly, we show that the widely studied phenomenon called coherence resonance, where there exists a noise strength to make the oscillatory responses of the system most coherent, is also bounded by the TUR in the one-dimensional excitable phase model. Finally, we study the coherence-dissipation relation in ensembles of strongly coupled excitable oscillators. |
| title | Trade-off between coherence and dissipation for excitable phase oscillators |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2412.16603 |