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Dynamics analysis of a non-smooth Filippov pest-natural enemy system with time delay
In this paper, we propose a non-smooth Filippov system that describes the interaction of the pest and natural enemy with considering time delay,...
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Bifurcation analysis of a Filippov predator–prey model with two thresholds
Modelling integrated pest management with two thresholds can be achieved with a Filippov system. The feature of the model is that two thresholds are...
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Brief Comments for Doubts in Filippov Method
Different methods of solution continuation for the system with discontinuous control and sliding modes are discussed in the paper. First, the systems...
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Synchronization of discontinuous competitive networks modeled by Filippov singular perturbation system: time-scales dependent settling-time
This paper mainly considers the fixed-time synchronization (FxTS) and fixed-time anti-synchronization (FxTAS) of discontinuous competitive neural...
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Dynamics and bifurcation analysis of a delay non-smooth Filippov Leslie–Gower prey–predator model
In this paper, we proposed a Filippov prey–predator model with time delay considering threshold policy control of integrated pest management. The...
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Hidden dynamics and control of a Filippov memristive hybrid neuron model
The development of neurocomputing science highlights the necessity and new trend of establishing various feasible functional neuron models. A...
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Dynamics of a Filippov predator-prey system with stage-specific intermittent harvesting
The invasion of Indo-Pacific lionfish ( Pterois volitans ) together with unsustainable harvesting of herbivorous fish has caused major ecological...
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Global dynamics of a non-smooth SIV system with uncertain effective vaccine protection rate
This study focuses on a specific class of SIV systems and investigates the impact of vaccine efficacy and control measures on disease control. We...
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Impact of non-smooth threshold control on a reaction–diffusion predator–prey model with time delay
To explore the efficacy of integrated pest management, we modify the predator–prey (pest–natural enemy) model by incorporating Holling III functional...
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Optimized Fuzzy Fractional-order Controller for a Nonlinear Chaos System With Period-doubling Bifurcation Analysis
Chaos study and control is one of the dynamic fields of research nowadays. The non-linear dynamic behavior such as fast scale bifurcation results in...
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Study of finite-time synchronization between memristive neural networks with leakage and mixed delays
This article investigates the finite-time synchronization (FTS) of memristive neural networks (MNNs) with leakage and mixed delays by using state...
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Three-Layer Problem on Heat Exchange in a Medium with Counterflows
With the use of the asymptotic method, it is shown that the three-layer problem on the conjugate heat exchange in an anisotropic medium with...
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Sliding Shilnikov connection in Filippov-type predator–prey model
Recently, a piecewise smooth differential system was derived as a model of a 1 predator–2 prey interaction where the predator feeds adaptively on its...
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Model reduction of a periodically forced slow–fast continuous piecewise linear system
In this paper, singular perturbation theory is exploited to obtain a reduced-order model of a slow–fast piecewise linear 2-DOF oscillator subjected...
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Simulation of Gas Motion in a Reservoir–Pipeline System
A model has been constructed for the process of unsteady-state gas motion in a reservoir–pipeline system. A boundary-problem of unsteady-state gas...
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Dynamics and stability of non-smooth dynamical systems with two switches
One of the most common hypotheses on the theory of non-smooth dynamical systems is a regular surface as switching manifold, at which case there is at...
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Non-smooth dynamics emerging from predator-driven discontinuous prey dispersal
In ecology, the refuge protection of the prey plays a significant role in the dynamics of the interactions between prey and predator. In this paper,...
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Nonlinear dynamics of dry friction oscillator subjected to combined harmonic and random excitations
The dynamics of a nonlinear single degree freedom oscillator on a moving belt subjected to combined harmonic and random excitations is numerically...
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Results on Periodicity of Memristive Inertial Neural Networks with Mixed Delays
In this manuscript, the Periodicity of Inertial Neural Networks (INNs) with the background of a memristor and mixed time delays is elucidated. We...
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Experimental Analysis of a Nonlinear Piecewise Multi-degrees-of-Freedom System
The growing industrial demand for lightweight and low-carbon emission systems is eroding the safety factors adopted in the linear design of vehicles...