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The interplay among the topological bifurcation diagram, integrability and geometry for the family QSH(D)
Consider the class QSH of all non-degenerate planar quadratic differential systems possessing an invariant algebraic hyperbola. In this paper we...
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Analysis of Hopf Bifurcation
We have seen that the transition from the homogeneous flow solution to the cluster flow solution in the OV model is a Hopf bifurcation in Sect....
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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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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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Bifurcation
Consider the family of differential equations $$ \dot{u} = f(u, \lambda ), \;\; u\in...
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Bifurcation Structure of Interval Maps with Orbits Homoclinic to a Saddle-Focus
We study homoclinic bifurcations in an interval map associated with a saddle-focus of (2, 1)-type in ℤ 2 -symmetric systems. Our study of this map...
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Bifurcation detections of a fractional-order neural network involving three delays
This paper lucubrates the Hopf bifurcation of fractional-order Hopfield neural network (FOHNN) with three nonidentical delays. The type of delays in...
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Geometric Approach to the Bifurcation at Infinity: A Case Study
In this paper, the reaction-diffusion equation in space 1D with negative power nonlinearity is presented as an example the stationary solutions of...
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Bifurcation mechanism and hybrid control strategy of a finance model with delays
Establishing financial models or economic models to describe economic phenomena in real life has become a heated discussion in society at present....
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Stability and Hopf Bifurcation in the General Langford System
This paper is concerned with the general Langford system under homogeneous Neumann boundary conditions. The stabilities of constant solutions are...
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Bifurcation and Stability Analysis of a Discrete Predator–Prey Model with Alternative Prey
In this paper, we investigate the dynamics of a class of discrete predator–prey model with alternative prey. We prove the boundedness of the...
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Research on hunting stability and bifurcation characteristics of nonlinear stochastic wheelset system
A stochastic wheelset model with a nonlinear wheel-rail contact relationship is established to investigate the stochastic stability and stochastic...
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Bifurcation analysis of macroscopic traffic flow model based on the influence of road conditions
A macroscopic traffic flow model considering the effects of curves, ramps, and adverse weather is proposed, and nonlinear bifurcation theory is used...
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Bifurcation and chaos in a discrete Holling–Tanner model with Beddington–DeAngelis functional response
The dynamics of a discrete Holling–Tanner model with Beddington–DeAngelis functional response is studied. The permanence and local stability of fixed...
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Bifurcation Analysis in a Predator-Prey Model with an Allee Effect and a Delayed Mechanism
Regarding delay-induced predator-prey models, much research has been done on delayed destabilization, but whether delays are stabilizing or...
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Bifurcation Patterns in a Discrete Predator–Prey Model Incorporating Ratio-Dependent Functional Response and Prey Harvesting
This work examines a discrete Leslie-Gower model of prey-predator dynamics with Holling type-IV functional response and harvesting effects. The study...
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Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach
We address a three-tier data-driven approach for the numerical solution of the inverse problem in Partial Differential Equations (PDEs) and for their...
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Exploring dynamics of plant–herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response
In this study, we examine the plant–herbivore discrete model of apple twig borer and grape vine interaction, with a particular emphasis on the...
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Characterization and bifurcation diagram of the family of quadratic differential systems with an invariant ellipse in terms of invariant polynomials
Consider the class QS of all non-degenerate planar quadratic systems and its subclass QSE of all its systems possessing an invariant ellipse. This is...
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Transcritical Bifurcation and Flip Bifurcation of a New Discrete Ratio-Dependent Predator-Prey System
After a discrete two-species predator-prey system with ratio-dependent functional response is topologically and equivalently reduced, some new...
