0
research-article

Amplitude death induced by intrinsic noise in a system of three coupled stochastic Brusselators

[+] Author and Article Information
Orlando Díaz-Hernández

Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, Tuxtla Gutiérrez, Chiapas, 29050, México
orlando.diaz@unach.mx

Elizeth Ramírez-Álvarez

Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, Tuxtla Gutiérrez, Chiapas, 29050, México
eramirez@unach.mx

Ariel Flores-Rosas

Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, Tuxtla Gutiérrez, Chiapas, 29050, México
aros8151@gmail.com

Christian Enriquez-Flores

Conacyt-Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, Tuxtla Gutiérrez, Chiapas, 29050, México
chrienri@yahoo.com.mx

Moises Santillan Zeron

Centro de Investigación y de Estudios Avanzados del Instituto Polit écnico Nacional, Monterrey, Nuevo León, 66600, México
msantillan@cinvestav.mx

Pablo Padilla Longoria

Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Mexico City, 04510, México
pablo@mym.iimas.unam.mx

Gerardo Escalera Santos

Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, Tuxtla Gutiérrez, Chiapas, 29050, México
gescalera.santos@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4042322 History: Received May 11, 2018; Revised December 11, 2018

Abstract

In this work we study the interplay between intrinsic biochemical noise and the diffusive coupling, in an array of three stochastic Brusselators that present a limit-cycle dynamics. The stochastic dynamics is simulated by means of the Gillespie algorithm. The intensity of the intrinsic biochemical noise is regulated by changing the value of the system volume ($\Omega$), while keeping constant the chemical species' concentration. To characterize the system behavior we measure the average spike amplitude ($ASA$), the order parameter $R$, the average interspike interval ($ISI$) and the coefficient of variation for the interspike interval ($CV$). By analyzing how these measures depend on $\Omega$ and the coupling strength, we observe that when the coupling parameter is different from zero, increasing the level of intrinsic noise beyond a given threshold suddenly drives the spike amplitude, SA, to zero and makes $ISI$ increase exponentially. These results provide numerical evidence that amplitude death takes place via a homoclinic bifurcation.

Copyright (c) 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In