Noise-induced Periodicity: Some Stochastic Models for Complex Biological Systems

DOI10.1007/978-3-319-02657-2_3zbMath1425.92091OpenAlexW178057391MaRDI QIDQ5243760

Giambattista Giacomin, Paolo Dai Pra, Daniele Regoli

Publication date: 19 November 2019

Published in: Mathematical Models and Methods for Planet Earth (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-02657-2_3

zbMATH Keywords

periodic solutionHopf bifurcationperiodic orbitindependent Brownian motionBrownian noise

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in biology (37N25) Systems biology, networks (92C42)

Related Items (5)

Coexistence of stable limit cycles in a generalized Curie-Weiss model with dissipation ⋮ Oscillatory behavior in a model of non-Markovian mean field interacting spins ⋮ Noise-induced periodicity in a frustrated network of interacting diffusions ⋮ Parameter evaluation for a statistical mechanical model for binary choice with social interaction ⋮ Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction: a slow-fast dynamics approach

Cites Work

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• Chemical oscillations, waves, and turbulence
• Dynamical aspects of mean field plane rotators and the Kuramoto model
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• Relaxation and Self-Sustained Oscillations in the Time Elapsed Neuron Network Model
• Transitions in Active Rotator Systems: Invariant Hyperbolic Manifold Approach
• Noise-Induced Behaviors in Neural Mean Field Dynamics
• Modeling a synthetic multicellular clock: Repressilators coupled by quorum sensing
• Dynamics of a structured neuron population
• Brownian agents and active particles. Collective dynamics in the natural and social sciences. With a foreword by J. Doyne Farmer.

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