Noise induced new quasi-period and periods switching

Abstract

We employ a typical genetic circuit model to explore how noise can influence the dynamic structure. With the increase of a key interactive parameter, the model will deterministically go through two bifurcations and three dynamic structure regions. We find that a new quasi-periodic component, which is not allowed by deterministic dynamics, will be generated by noise inducing in the first two regions, and this quasi-period will be more and more stable along with the noise increasing. Especially, in the second region, the quasi-period will compete with a stable limit cycle and perform a new transient rhythm. Furthermore, we ascertain the entropy production rate (EPR) and the heat dissipation rate (HDR), and discover a minimal value with elucidating theoretically. In the end, we unveil the mechanism of the quasi-periods forming, and show a practical biological instance. We expect that this work is helpful to solve some biological or ecological problems, such as genetic origin of periodical cicadas and population dynamics with fluctuation.

References in corpus (16)

• Mechanisms of noise-resistance in genetic oscillators
• Nonequilibrium Physics in Biology
• Entropy production and fluctuation theorems for active matter
• Mesoscopic Nonequilibrium Thermodynamics of Single Macromolecules and Dynamic Entropy-Energy Compensation
• Extrinsic noise driven phenotype switching in a self-regulating gene
• Potential and Flux Decomposition for Dynamical Systems and Non-Equilibrium Thermodynamics: Curvature, Gauge Field and Generalized Fluctuation-Dissipation Theorem
• Run stop shock, run shock run: Spontaneous and stimulated gait-switching in a unicellular octoflagellate
• Nonequilibrium fluctuation-dissipation theorem and heat production
• An energy-speed-accuracy relation in complex networks for biological discrimination
• Qualitative changes in spike-based neural coding and synchronization at the saddle-node loop bifurcation
• Non-equilibrium scaling behaviour in driven soft biological assemblies
• Reversibility, heat dissipation and the importance of the thermal environment in stochastic models of nonequilibrium steady states
• A Minimal Model of Burst-Noise Induced Bistability
• Emergence of spike correlations in periodically forced excitable systems
• Entropy production by active particles: Coupling of odd and even functions of velocity
• Stochastic limit-cycle oscillations of a nonlinear system under random perturbations