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The net reproductive number and bifurcation in an integro-difference system of equations
Integro-difference equations Dynamical systems
2010/9/20
A model for structured populations with a two-phase life cycle has been derived in [2], also we proved there the existence of a branch of positive equilibrium points in the positive cone. In this pape...
On bifurcation of solutions of the Yamabe problem in product manifolds
bifurcation of solutions of the Yamabe problem product manifolds
2011/1/19
We study local rigidity and multiplicity of constant scalar curvature metrics in arbitrary products of compact manifolds. Using (equivariant)bifurcation theory we determine the existence of infinitely...
Random walks, Kleinian groups, and bifurcation currents
Random walks Kleinian groups bifurcation currents
2010/11/11
Let (\rho_\lambda)_{\lambda\in \Lambda} be a holomorphic family of representations of a finitely generated group G into PSL(2,C), parameterized by a complex manifold \Lambda . We define a notion of b...
The Bifurcation of Cycle Length and Global Asymptotic Stability in a Rational Difference Equation with Higher Order
Rational difference equation bifurcation of cycle length perturbation global asymptotic stability semicycle periodicity
2008/11/10
A new bifurcation case for the cycle length is found in this paper for rational difference equations, which is
shown out from the following fifth order rational difference equation
x x x x x x a
x ...
BIFURCATION OF PERIODIC SOLUTION IN A THREE-UNIT NEURAL NETWORK WITH DELAY
Hopf bifurcation bifurcation
2007/12/11
A system of three-unit networks with no self-connection is investigated, the general formula for bifurcation direction of Hopf bifurcation is calculated, and the estimaion formula of the period for pe...
Bifurcation and Chaos in a Weakly Nonlinear System Subjected to Combined Parametric and External Excitation
bifurcation chaos transversal homoclinic orbit
2007/12/11
In this paper the dynamics of a weakly nonlinear system subjected to combined parametric and external excitation are discussed. The existence of transversal homoclinic orbits resulting in chaotic dyna...
In this paper, numerical approximation of solution branches of bifurcation problem with corank-n is studied.
BIFURCATION OF LIMIT CYCLES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (Ⅲ)l = n = 0
Quadratic system limit cycle
2007/12/10
In this paper we will prove that limit cycles for the quadratic differential system (Ⅲ)l=n=o in Chinese classification are concentratedly distributed, and that the maximum number of limit cycles aroun...