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Bifurcation theory

Dynamic behaviors of a modified SIR model in epidemic diseases using nonlinear incidence and recovery rates

Gui-Hua Li, Yong-Xin Zhang

The Hunt Opinion Model—An Agent Based Approach to Recurring Fashion Cycles

Rafał Apriasz, Tyll Krueger, Grzegorz Marcjasz, Katarzyna Sznajd-Weron

Dynamics and Collapse in a Power System Model with Voltage Variation: The Damping Effect

Jinpeng Ma, Yong Sun, [ ... ], Meng Zhan

Model Vestibular Nuclei Neurons Can Exhibit a Boosting Nonlinearity Due to an Adaptation Current Regulated by Spike-Triggered Calcium and Calcium-Activated Potassium Channels

Adam D. Schneider

Hopf Bifurcation of an Epidemic Model with Delay

Li-Peng Song, Xiao-Qiang Ding, Li-Ping Feng, Qiong Shi

Early Afterdepolarizations with Growing Amplitudes via Delayed Subcritical Hopf Bifurcations and Unstable Manifolds of Saddle Foci in Cardiac Action Potential Dynamics

Philipp Kügler

Spatial Patterns of a Predator-Prey System of Leslie Type with Time Delay

Caiyun Wang, Lili Chang, Huifeng Liu

From Squid to Mammals with the HH Model through the Nav Channels’ Half-Activation-Voltage Parameter

Nedialko I. Krouchev, Frank Rattay, Mohamad Sawan, Alain Vinet

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

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