Quasiperiodicity and Chaos Through Hopf–Hopf Bifurcation in Minimal Ring Neural Oscillators Due to a Single Shortcut
DOI10.1142/S0218127419500652zbMath1422.34129OpenAlexW2948536878MaRDI QIDQ5379864
H. Matsushita, Hiroyuki Kitajima, Yo Horikawa
Publication date: 14 June 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127419500652
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Complex dynamics of a four neuron network model having a pair of short-cut connections with multiple delays
- Exponential dispersion relation and its effects on unstable propagating pulses in unidirectionally coupled symmetric bistable elements
- Effects of small world connection on the dynamics of a delayed ring network
- Computing Arnol'd tongue scenarios
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Elements of applied bifurcation theory.
- A group-theoretic approach to rings of coupled biological oscillators
- Exponential transient propagating oscillations in a ring of spiking neurons with unidirectional slow inhibitory synaptic coupling
- Stabilization of metastable dynamical rotating waves in a ring of unidirectionally coupled sigmoidal neurons due to shortcuts
- Effects of asymmetric coupling and self-coupling on metastable dynamical transient rotating waves in a ring of sigmoidal neurons
- Complex networks: structure and dynamics
- Bifurcations and multiple traffic jams in a car-following model with reaction-time delay
- Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point
- Statistical mechanics of complex networks
- Emergence of Scaling in Random Networks
- Cellular neural networks: theory
- Cyclic feedback systems
- Transient dynamics around unstable periodic orbits in the generalized repressilator model
- Collective dynamics of ‘small-world’ networks
- Exploring complex networks
- The Dynamical Impact of a Shortcut in Unidirectionally Coupled Rings of Oscillators
This page was built for publication: Quasiperiodicity and Chaos Through Hopf–Hopf Bifurcation in Minimal Ring Neural Oscillators Due to a Single Shortcut
