Results 31 to 40 of about 710,736 (219)
In this paper, a discrete predator-prey model incorporating Allee effect and cannibalism is derived from its continuous version by semidiscretization method.
Zhuo Ba , Xianyi Li
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Significance of Ghost Orbit Bifurcations in Semiclassical Spectra [PDF]
Gutzwiller's trace formula for the semiclassical density of states in a chaotic system diverges near bifurcations of periodic orbits, where it must be replaced with uniform approximations. It is well known that, when applying these approximations, complex predecessors of orbits created in the bifurcation ("ghost orbits") can produce pronounced ...
arxiv +1 more source
Stability and bifurcation analysis for a single-species discrete model with stage structure
In this paper, a single-species discrete model with stage structure is investigated. By analyzing the corresponding characteristic equations, the local asymptotic stability of non-negative equilibrium points and the existence of flip bifurcation are ...
Daiyong Wu, Min Zhao, Hai Zhang
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Singular Bifurcations : a Regularization Theory [PDF]
Several nonlinear and nonequilibrium driven as well as active systems (e.g. microswimmers) show bifurcations from one state to another (for example a transition from a non motile to motile state for microswimmers) when some control parameter reaches a critical value.
arxiv
A synthetic drug transmission model with psychological addicts and time delay is proposed in this paper. By analyzing the corresponding characteristic equation and choosing the time delay as the bifurcation parameter, a set of sufficient criteria ...
Zizhen Zhang, Fangfang Yang, Wanjun Xia
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Four-dimensional Zero-Hopf Bifurcation for a Lorenz-Haken System [PDF]
In this work we study the periodic orbits which bifurcate from a zero-Hopf bifurcations that a Lorenz-Haken system in R 4 can exhibit. The main tool used is the averaging theory.
arxiv
On the Relationship between Equilibrium Bifurcations and Ideal MHD Instabilities for Line-Tied Coronal Loops [PDF]
For axisymmetric models for coronal loops the relationship between the bifurcation points of magnetohydrodynamic (MHD) equilibrium sequences and the points of linear ideal MHD instability is investigated imposing line-tied boundary conditions. Using a well-studied example based on the Gold-Hoyle equilibrium, it is demonstrated that if the equilibrium ...
arxiv +1 more source
A delayed computer virus model with nonlinear incidence rate
An Susceptible-Vaccinated-Exposed-Infectious-Recovered computer virus model with nonlinear incidence rate and two delays is proposed and its Hopf bifurcation is investigated.
Yugui Chu, Wanjun Xia, Zecheng Wang
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Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response
Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
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Bifurcation of solutions to Hamiltonian boundary value problems [PDF]
A bifurcation is a qualitative change in a family of solutions to an equation produced by varying parameters. In contrast to the local bifurcations of dynamical systems that are often related to a change in the number or stability of equilibria, bifurcations of boundary value problems are global in nature and may not be related to any obvious change in
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