Results 21 to 30 of about 3,779 (211)
Mathematical Biosciences and Engineering, 2023 In this paper, we consider the dynamics of a slow-fast Bazykin's model with piecewise-smooth Holling type Ⅰ functional response. We show that the model has Saddle-node bifurcation and Boundary equilibrium bifurcation.
Xiao Wu, Shuying Lu , Feng Xie
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Persistence of Heteroclinic Cycles Connecting Repellers in Banach Spaces
Journal of Mathematics, 2022 This paper is concerned with persistence of heteroclinic cycles connecting repellers in Banach spaces. It is proved that if a map with a regular and nondegenerate heteroclinic cycle connecting repellers undergoes a small perturbation, then the perturbed ...
Zongcheng Li
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Exploring Limit Cycle Bifurcations in the Presence of a Generalized Heteroclinic Loop
Mathematics, 2023 This work revisits the number of limit cycles (LCs) in a piecewise smooth system of Hamiltonian with a heteroclinic loop generalization, subjected to perturbed functions through polynomials of degree m.
Erli Zhang, Stanford Shateyi
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Mathematics, 2021 The existence of homoclinic orbits or heteroclinic cycle plays a crucial role in chaos research. This paper investigates the existence of the homoclinic orbits to a saddle-focus equilibrium point in several classes of three-dimensional piecewise affine ...
Yanli Chen, Lei Wang, Xiaosong Yang
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Dynamics in a Predator–Prey Model with Cooperative Hunting and Allee Effect
Mathematics, 2021 This paper deals with a diffusive predator–prey model with two delays. First, we consider the local bifurcation and global dynamical behavior of the kinetic system, which is a predator–prey model with cooperative hunting and Allee effect.
Yanfei Du, Ben Niu, Junjie Wei
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Dynamics in diffusive Leslie–Gower prey–predator model with weak diffusion
Nonlinear Analysis, 2022 This paper is concerned with the diffusive Leslie–Gower prey–predator model with weak diffusion. Assuming that the diffusion rates of prey and predator are sufficiently small and the natural growth rate of prey is much greater than that of predators ...
Xiao Wu, Mingkang Ni
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Emerging criticality at bifurcation points in heteroclinic dynamics
Physical Review Research, 2020 Heteroclinic dynamics is a suitable framework to describe transient dynamics that is characteristic for ecological as well as neural systems, in particular for cognitive processes.
Maximilian Voit +1 more
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Fear Effect on a Predator–Prey Model with Non-Differential Fractional Functional Response
Fractal and Fractional, 2023 In this paper, we study the factor of the fear effect in a predator–prey model with prey refuge and a non-differentiable fractional functional response due to the group defense.
Salam Mohammed Ghazi Al-Mohanna +1 more
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Scalar Field Evolution at Background and Perturbation Levels for a Broad Class of Potentials
Fortschritte der Physik, Volume 71, Issue 10-11, November 2023., 2023 Abstract In this paper, a non‐interacting scalar field cosmology with an arbitrary potential using the f‐deviser method that relies on the differentiability properties of the potential is investigated. Using this alternative mathematical approach, a unified dynamical system analysis at a scalar field's background and perturbation levels with arbitrary ...
Genly Leon +5 more
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An Example of Symmetry Breaking to Heteroclinic Cycles [PDF]
Journal of Differential Equations, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Golubitsky, Chuanze Hou
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