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Nonautonomous Bifurcation
As in the continuous time situation, bifurcations in nonautonomous difference equations are classified as attractor bifurcation, solution bifurcation...
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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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Nonautonomous Bifurcation Theory Concepts and Tools
Bifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it...
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Bifurcation
Consider the family of differential equations $$ \dot{u} = f(u, \lambda ), \;\; u\in...
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Bifurcation Analysis of an Advertising Diffusion Model
This research aims to investigate the impact of diffusion on the stability and bifurcation behavior of advertising diffusion systems. The study...
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Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect
A general time-delay reaction–diffusion–advection system with the Dirichlet boundary condition and spatial heterogeneity is investigated in this...
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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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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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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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Bifurcation control for a fractional-order delayed SEIR rumor spreading model with incommensurate orders
A fractional-order delayed SEIR rumor spreading model with a nonlinear incidence function is established in this paper, and a novel strategy to...
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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 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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Bifurcation analysis of an algal blooms dynamical model in trophic interaction
In this paper, we revisit the algal blooms model of plankton interactions initially proposed by Das and Sarkar (DCDIS-A, 14(3):401–414, 2007), where...
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Bifurcation investigation and control scheme of fractional neural networks owning multiple delays
In this current study, novel fractional neural networks owning delay are formulated. Using Lipschitz condition, we demonstrate that the solution of...
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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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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 Turing instability for a freshwater tussock sedge model with nonlocal interaction
The Hopf bifurcation, Turing instability and steady state bifurcation to a fresh-water tussock sedge model with nonlocal interaction under Neumman...
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Global Bifurcation from Infinity in Some Nonlinear Sturm-Liouville Problems
We study the bifurcation of solutions from infinity of Sturm–Liouville eigenvalue problems with a spectral parameter in the boundary condition. These...
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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...
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Local Bifurcation of Steady Almost Periodic Water Waves with Constant Vorticity
In this paper we investigate the traveling wave solution of the two dimensional Euler equations with gravity at the free surface over a flat bed. We...