Non normal amplification of stochastic quasi-cycles
arXiv:1806.10566 · doi:10.1103/PhysRevE.98.032214
Abstract
Stochastic quasi-cycles for a two species model of the excitatory-inhibitory type, arranged on a triangular loop, are studied. By increasing the strength of the inter-nodes coupling, one moves the system towards the Hopf bifurcation and the amplitude of the stochastic oscillations are consequently magnified. When the system is instead constrained to evolve on specific manifolds, selected so as to return a constant rate of deterministic damping for the perturbations, the observed amplification correlates with the degree of non normal reactivity, here quantified by the numerical abscissa. The thermodynamics of the reactive loop is also investigated and the degree of inherent reactivity shown to facilitate the out-of-equilibrium exploration of the available phase space.
References in corpus (10)
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Predator-prey cycles from resonant amplification of demographic stochasticity
- Nonnormal amplification in random balanced neuronal networks
- Giant amplification of noise in fluctuation-induced pattern formation
- Topological resilience in non-normal networked systems
- Enhanced stochastic oscillations in autocatalytic reactions
- Entropy production in linear Langevin systems
- Noise driven neuromorphic tuned amplifier
- Non-normality, reactivity, and intrinsic stochasticity in neural dynamics: a non-equilibrium potential approach
- Intertangled stochastic motifs in networks of excitatory-inhibitory units