Stability and Hopf bifurcation on an SEIR delayed model with logistic growth [PDF]
This paper investigates the stability and Hopf bifurcation of SEIR delay model with logistic growth. Firstly, the existence and uniqueness of equilibrium point are analyzed.
Aekabut Sirijampa +2 more
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Bifurcation Analysis of Nonlinear Oscillations in the Electrical Activity of Pancreatic β‐Cells
ABSTRACT Cell biological systems are characterized by complex relationships and nonlinear processes. The modeling of these processes improves the understanding, and represents a significant enrichment of the experimental investigation. An example of such a system is the regulation of blood glucose concentration by pancreatic β$\beta$‐cells through the ...
Paula Clasen +2 more
wiley +1 more source
Utilizing Causal Network Markers to Identify Tipping Points ahead of Critical Transition
The study proposes a causal network markers (CNMs) framework to identify early‐warning signals preceding critical transitions. It validates CNMs on various computational benchmark models and real‐world datasets, demonstrating higher accuracy and flexibility compared to existing approaches.
Shirui Bian +4 more
wiley +1 more source
Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays
A class of Lotka-Volterra mutualistic system with time delays of benefit and feedback delays is introduced. By analyzing the associated characteristic equation, the local stability of the positive equilibrium and existence of Hopf bifurcation are ...
Xin-You Meng, Hai-Feng Huo
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Kaldor, Hicks and Goodwin Meet the Supermultiplier: On Growth Cycles and Autonomous Demand
ABSTRACT This paper presents an approach to reconciling short‐run business cycles with long‐run growth in macroeconomic models. It addresses recent criticisms of supermultiplier models by developing a framework that combines investment‐driven cycles with autonomous demand‐led growth in the long run.
Ettore Gallo
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Hopf Bifurcation Control in a FAST TCP and RED Model via Multiple Control Schemes
We focus on the Hopf bifurcation control problem of a FAST TCP model with RED gateway. The system gain parameter is chosen as the bifurcation parameter, and the stable region and stability condition of the congestion control model are given by use of the
Dawei Ding +4 more
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Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability
ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
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A Synthesized Neural Control System for Bioinspired Robots to Achieve Diverse Locomotion
A novel hexapod robot named RENS H2 based on the synthesized neural control system. The control system is constructed based on the central pattern generator and virtual motoneurons network, serving as the foundation of the behavioral network. It encompasses omnidirectional movement, regulation of motor neuron intensity, sensorimotor integration, local ...
Chunchao Liu, Yaguang Zhu, Zhigang Han
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Bifurcation of a Cohen-Grossberg Neural Network with Discrete Delays
A simple Cohen-Grossberg neural network with discrete delays is investigated in this paper. The existence of local Hopf bifurcations is first considered by choosing the appropriate bifurcation parameter, and then explicit formulas are given to determine ...
Qiming Liu, Wang Zheng
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