Proceedings of the 45th International Conference on Application of Mathematics in Engineering and Economics (Amee’19) 2019
DOI: 10.1063/1.5133540
|View full text |Cite
|
Sign up to set email alerts
|

Variability and effect of noise on the corporate dynamics of coupled oscillators

Abstract: A nonlinear dynamical model of two coupled neurons based on the Rulkov map is considered. Variability analysis of corporate dynamics depending on the type of activity of separated neurons and strength of coupling is performed. Transitions between stationary, periodic, quasiperiodic, and chaotic regimes of this neuron system are studied. Additional effects of random disturbances on this system are discussed. Noise-induced transitions between periodic and chaotic stochastic oscillations are demonstrated.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2021
2021
2022
2022

Publication Types

Select...
2
1

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(1 citation statement)
references
References 15 publications
0
1
0
Order By: Relevance
“…This indicates that even when the system is deterministic, its appearance may look arbitrary. A similar result stating that "the microscopic randomness of the mutation process can be amplified to macroscopic unpredictability by evolutionary dynamics" was recently obtained from an infinitely repeated prisoner's dilemma 18 , and a discrete-time replicator map (a prototype of an evolutionary selection game) was shown to yield a fixed-point solution the dynamics that could be interpreted as the Nash equilibrium of an evolutionarily stable strategy 19 . Besides this relation to game theory, financial markets have an affinity to neural networks behavior.…”
Section: Trends In Recent Financial Modelingmentioning
confidence: 57%
“…This indicates that even when the system is deterministic, its appearance may look arbitrary. A similar result stating that "the microscopic randomness of the mutation process can be amplified to macroscopic unpredictability by evolutionary dynamics" was recently obtained from an infinitely repeated prisoner's dilemma 18 , and a discrete-time replicator map (a prototype of an evolutionary selection game) was shown to yield a fixed-point solution the dynamics that could be interpreted as the Nash equilibrium of an evolutionarily stable strategy 19 . Besides this relation to game theory, financial markets have an affinity to neural networks behavior.…”
Section: Trends In Recent Financial Modelingmentioning
confidence: 57%