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Bifurcation theory

Linear Augmentation for Stabilizing Stationary Solutions: Potential Pitfalls and Their Application

Rajat Karnatak

Biophysical Insights into How Spike Threshold Depends on the Rate of Membrane Potential Depolarization in Type I and Type II Neurons

Guo-Sheng Yi, Jiang Wang, [ ... ], Bin Deng

Dynamics of On-Off Neural Firing Patterns and Stochastic Effects near a Sub-Critical Hopf Bifurcation

Gu Huaguang, Zhao Zhiguo, Jia Bing, Chen Shenggen

Implications of Network Topology on Stability

Ali Kinkhabwala

Bursting Regimes in a Reaction-Diffusion System with Action Potential-Dependent Equilibrium

Stephen R. Meier, Jarrett L. Lancaster, Joseph M. Starobin

Zero-Lag Synchronization Despite Inhomogeneities in a Relay System

Zahra Ghasemi Esfahani, Alireza Valizadeh

Mechanism and Function of Mixed-Mode Oscillations in Vibrissa Motoneurons

David Golomb

A Canonical Circuit for Generating Phase-Amplitude Coupling

Angela C. E. Onslow, Matthew W. Jones, Rafal Bogacz

Neuronal Spike Initiation Modulated by Extracellular Electric Fields

Guo-Sheng Yi, Jiang Wang, [ ... ], Bin Deng

A Codimension-2 Bifurcation Controlling Endogenous Bursting Activity and Pulse-Triggered Responses of a Neuron Model

William H. Barnett, Gennady S. Cymbalyuk

Stochastic Stabilization of Phenotypic States: The Genetic Bistable Switch as a Case Study

Marc Weber, Javier Buceta

Noise Propagation in Gene Regulation Networks Involving Interlinked Positive and Negative Feedback Loops

Hui Zhang, Yueling Chen, Yong Chen

Modeling and Dynamical Analysis of Virus-Triggered Innate Immune Signaling Pathways

Jinying Tan, Ruangang Pan, [ ... ], Zishu Pan

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