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Forward hysteresis and Hopf bifurcation in an Npzd model with application to harmful algal blooms
Nutrient-Phytoplankton-Zooplankton-Detritus (NPZD) models, describing the interactions between phytoplankton, zooplankton systems, and their...
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Global Dynamics of a Kawasaki Disease Vascular Endothelial Cell Injury Model with Backward Bifurcation and Hopf Bifurcation
Kawasaki disease (KD) is an acute, febrile, systemic vasculitis that mainly affects children under five years of age. In this paper, we propose and...
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Hopf bifurcation control of macroscopic traffic flow model considering vehicle braking effect
Traffic congestion not only has a great impact on people's travel, but also increases energy consumption and air pollution. The control analysis of...
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Burst patterns with Hopf bifurcation in a simplified FHN circuit
To theoretically and experimentally characterize the neuronal burst patterns, a simplified FitzHugh–Nagumo (FHN) circuit is developed by using two...
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Stability and Hopf Bifurcation Analysis of A Fractional-Order BAM Neural Network with Two Delays Under Hybrid Control
In this paper, considering that fractional-order calculus can more accurately describe memory and genetic properties, we introduce fractional...
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Nonlinear dynamics near a double Hopf bifurcation for a ship model with time-delay control
A double Hopf bifurcation analysis is performed for the rolling of a low-freeboard ship model controlled with an active U-tube anti-roll tank (ART)....
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Multiple time delay induced Hopf bifurcation of a cortex - basal ganglia model for Parkinson’s Disease
Exploring the origin of beta - band oscillation in the cortex - basal ganglia model plays an important role in understanding the mechanism of...
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Anti-control of Hopf bifurcation for high-dimensional chaotic system with coexisting attractors
The anti-control of Hopf bifurcation is a common means used in the applications of chaos. Hopf bifurcation phenomenon can be advanced or delayed by...
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Age-dependent immunity effect in a cholera model with double transmission modes: Hopf bifurcation analysis
This paper focuses on a cholera model with temporary immunity and recovery-age. We first investigate the existence of unique solution to the model by...
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Multiple stability switches and Hopf bifurcation in an age structured prey-predator system: effects of maturation and cooperative hunting delay
The classical prey-predator model assumes that prey species has no life history. But many species whose individuals have a life history with two...
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Hopf–Hopf bifurcation analysis based on resonance and non-resonance in a simplified railway wheelset model
This paper mainly investigates the dynamics of the non-resonant and near-resonant Hopf–Hopf bifurcations caused by the interaction of the lateral and...
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Nonautonomous Bifurcation
Three classes of nonautonomous bifurcations are introduced for ordinary differential equations, namely attractor bifurcation, solution bifurcation...
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Stability and Hopf bifurcation analysis of flux neuron model with double time delays
A flux neuron model with double time delays was developed by introducing a memristor. The first time delay is added to the memristor and another time...
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Computer-Assisted Proofs of Hopf Bubbles and Degenerate Hopf Bifurcations
We present a computer-assisted approach to prove the existence of Hopf bubbles and degenerate Hopf bifurcations in ordinary and delay differential...
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Bifurcation analysis and control of improved traffic flow model considering the effect of strong winds
In recent years, the problem of traffic congestion has become increasingly serious, and research on traffic system control has become a new hotspot....
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Bifurcation analysis of pine wilt disease model with both memory-based diffusion and nonlocal effect
Animal movement and nonlocal interspecific competition are key roles in the spatial distribution of population. For the controlling of pine wilt...
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Hopf bifurcation of a fractional-order double-ring structured neural network model with multiple communication delays
In this paper, we delve into the Hopf bifurcation of a novel high-dimensional delayed fractional neural network model with bicyclic structure sharing...
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Stability and Hopf Bifurcation Analysis of a General Tri-diagonal BAM Neural Network with Delays
In this article, a general tri-diagonal bidirectional associative memory (BAM) neural network model with 2 n -neurons is proposed. Our investigates...
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Effect of Leakage Delays on Bifurcation in Fractional-Order Bidirectional Associative Memory Neural Networks with Five Neurons and Discrete Delays
As is well known that time delays are inevitable in practice due to the finite switching speed of amplifiers and information transmission between...
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Hopf bifurcation and stability switches in an infectious disease model with incubation delay, information, and saturated treatment
In this paper, a delay SIR model with a nonlinear incidence function and saturated treatment function is proposed and analyzed. The non-monotonous...
