Effect of Higher Order Terms on the Bifurcation Structure of Coupled Rulkov Neurons

DOI10.1142/S0218127417501784zbMath1379.92006OpenAlexW2770728867MaRDI QIDQ4597244

Hongjun Cao, Lifang Cheng

Publication date: 12 December 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127417501784

zbMATH Keywords

Neimark-Sacker bifurcationflip bifurcationflip-Neimark-Sacker bifurcationRulkov neuron

Mathematics Subject Classification ID

Neural biology (92C20)

Related Items (1)

Chaos in the Rulkov Neuron Model Based on Marotto’s Theorem

Cites Work

• Unnamed Item
• Stability and synchronization of coupled Rulkov map-based neurons with chemical synapses
• Stability and chaos of Rulkov map-based neuron network with electrical synapse
• Nonlinear dynamics of the membrane potential of a bursting pacemaker cell
• Interaction of Hopf and period doubling bifurcations of a vibro-impact system
• Remarks on interacting Neimark–Sacker bifurcations
• COMPLEX BIFURCATION STRUCTURES IN THE HINDMARSH–ROSE NEURON MODEL
• A SERIES OF BIFURCATION SCENARIOS IN THE FIRING PATTERN TRANSITIONS IN AN EXPERIMENTAL NEURAL PACEMAKER
• BURSTING TYPES AND STABLE DOMAINS OF RULKOV NEURON NETWORK WITH MEAN FIELD COUPLING
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Synchronization Dynamics of Two Heterogeneous Chaotic Rulkov Neurons with Electrical Synapses
• Elements of applied bifurcation theory

This page was built for publication: Effect of Higher Order Terms on the Bifurcation Structure of Coupled Rulkov Neurons