Dynamically selected steady states and criticality in non-reciprocal networks

Martorell, Carles; Calvo, Rubén; Annibale, Alessia; Muñoz, Miguel A.

doi:10.1016/j.chaos.2024.114809

Chaos, Solitons & Fractals

2024

DOI: 10.1016/j.chaos.2024.114809

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Dynamically selected steady states and criticality in non-reciprocal networks

Carles Martorell,

Rubén Calvo,

Alessia Annibale

et al.

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2024

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Cited by 2 publications

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Dynamical theory for adaptive systems

Pham,

Kaneko

2024

J. Stat. Mech.

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The study of adaptive dynamics, involving many degrees of freedom on two separated timescales, one for fast changes of state variables and another for the slow adaptation of parameters controlling the former’s dynamics is crucial for understanding feedback mechanisms underlying evolution and learning. We present a path-integral approach à la Martin–Siggia–Rose-De Dominicis–Janssen to analyse non-equilibrium phase transitions in such dynamical systems. As an illustration, we apply our framework to the adaptation of gene-regulatory networks under a dynamic genotype-phenotype map: phenotypic variations are shaped by the fast stochastic gene-expression dynamics and are coupled to the slowly evolving distribution of genotypes, each encoded by a network structure. We establish that under this map, genotypes corresponding to reciprocal networks of coherent feedback loops are selected within an intermediate range of environmental noise, leading to phenotypic robustness.

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Dynamical theory for adaptive systems

Pham,

Kaneko

2024

J. Stat. Mech.

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Frequency-Dependent Covariance Reveals Critical Spatiotemporal Patterns of Synchronized Activity in the Human Brain

Calvo,

Martorell,

Morales

et al. 2024

Phys. Rev. Lett.

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Dynamically selected steady states and criticality in non-reciprocal networks

Cited by 2 publications

References 58 publications

Dynamical theory for adaptive systems

Dynamical theory for adaptive systems

Frequency-Dependent Covariance Reveals Critical Spatiotemporal Patterns of Synchronized Activity in the Human Brain

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