The multistable behavior of neural networks is actively being studied as a landmark of ongoing cerebral activity, reported in both functional Magnetic Resonance Imaging (fMRI) and electro- or magnetoencephalography recordings. This consists of a continuous jumping between different partially synchronized states in the absence of external stimuli. It is thought to be an important mechanism for dealing with sensory novelty and to allow for efficient coding of information in an ever-changing surrounding environment. Many advances have been made to understand how network topology, connection delays, and noise can contribute to building this dynamic. Little or no attention, however, has been paid to the difference between local chaotic and stochastic influences on the switching between different network states. Using a conductance-based neural model that can have chaotic dynamics, we showed that a network can show multistable dynamics in a certain range of global connectivity strength and under deterministic conditions. In the present work, we characterize the multistable dynamics when the networks are, in addition to chaotic, subject to ion channel stochasticity in the form of multiplicative (channel) or additive (current) noise. We calculate the Functional Connectivity Dynamics matrix by comparing the Functional Connectivity (FC) matrices that describe the pair-wise phase synchronization in a moving window fashion and performing clustering of FCs. Moderate noise can enhance the multistable behavior that is evoked by chaos, resulting in more heterogeneous synchronization patterns, while more intense noise abolishes multistability. In networks composed of nonchaotic nodes, some noise can induce multistability in an otherwise synchronized, nonchaotic network. Finally, we found the same results regardless of the multiplicative or additive nature of noise.
Skip Nav Destination
Article navigation
October 2018
Research Article|
October 18 2018
Chaos versus noise as drivers of multistability in neural networks
Special Collection:
Nonlinear Science of Living Systems: From Cellular Mechanisms to Functions
Patricio Orio
;
Patricio Orio
1
Centro Interdisciplinario de Neurociencia de Valparaíso, Universidad de Valparaíso
, Pje Harrington 287, 2360103 Valparaíso, Chile
2
Instituto de Neurociencia, Facultad de Ciencias, Universidad de Valparaíso
, Gran Bretaña 1111, 2360102 Valparaíso, Chile
Search for other works by this author on:
Marilyn Gatica;
Marilyn Gatica
1
Centro Interdisciplinario de Neurociencia de Valparaíso, Universidad de Valparaíso
, Pje Harrington 287, 2360103 Valparaíso, Chile
Search for other works by this author on:
Rubén Herzog;
Rubén Herzog
1
Centro Interdisciplinario de Neurociencia de Valparaíso, Universidad de Valparaíso
, Pje Harrington 287, 2360103 Valparaíso, Chile
Search for other works by this author on:
Jean Paul Maidana
;
Jean Paul Maidana
1
Centro Interdisciplinario de Neurociencia de Valparaíso, Universidad de Valparaíso
, Pje Harrington 287, 2360103 Valparaíso, Chile
Search for other works by this author on:
Samy Castro
;
Samy Castro
1
Centro Interdisciplinario de Neurociencia de Valparaíso, Universidad de Valparaíso
, Pje Harrington 287, 2360103 Valparaíso, Chile
Search for other works by this author on:
Kesheng Xu
Kesheng Xu
1
Centro Interdisciplinario de Neurociencia de Valparaíso, Universidad de Valparaíso
, Pje Harrington 287, 2360103 Valparaíso, Chile
Search for other works by this author on:
Chaos 28, 106321 (2018)
Article history
Received:
June 09 2018
Accepted:
October 01 2018
Citation
Patricio Orio, Marilyn Gatica, Rubén Herzog, Jean Paul Maidana, Samy Castro, Kesheng Xu; Chaos versus noise as drivers of multistability in neural networks. Chaos 1 October 2018; 28 (10): 106321. https://doi.org/10.1063/1.5043447
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Pay-Per-View Access
$40.00
Citing articles via
Sex, ducks, and rock “n” roll: Mathematical model of sexual response
K. B. Blyuss, Y. N. Kyrychko
Focus on the disruption of networks and system dynamics
Peng Ji, Jan Nagler, et al.
Nonlinear comparative analysis of Greenland and Antarctica ice cores data
Berenice Rojo-Garibaldi, Alberto Isaac Aguilar-Hernández, et al.