The algebraic structures of coefficients in normal forms of two-dimensional maps in resonance and non-resonance cases are obtained by introducing the invariant under complex affine transformation and the invariant under rotational transformation. The multiple Hopf bifurcations are discussed.
Dynamics of the attractor of nonhyperbolic two-dimensional maps was analysed using multifractal theory, and found that the neighborhood of homoclinic tangerncy points of nonhyperbolic attractor exist first order phase transition.
The algebraic structures of coefficients in normal forms of two-dimensional maps in resonance and non-resonance cases are obtained by introducing the invariant under complex affine transformation and the invariant under rotational transformation. The multiple Hopf bifurcations are discussed.
Dynamics of the attractor of nonhyperbolic two-dimensional maps was analysed using multifractal theory, and found that the neighborhood of homoclinic tangerncy points of nonhyperbolic attractor exist first order phase transition.
This paper, by using the principle and method of nonlinear dynamics, discusses the stability of fixed point of 2-D mapping formula on the condition of different control parameter by establishing the 2-D mapping formula of the movements of bouncing balls.
Based on the rule and 2-D mapping characteristics of wireless scheduling in 802.16 system,a wireless resource scheduling algorithm which can ensure maximum delay was proposed. MATLAB simulation and comparison with other algorithms were made.
In this paper we study the regions of stability for the periodic orbits of the symmetrical mapin the parameter μ, b plane using the algebraic analytical method. We find some new phenomena. For example, it may have a twin period-doubling bifurcation. In gena-ral, a pair of the period-N orbits, created through a tangent bifurcation, may be unstabe. Our theoretical results agree well with Jan Frφyland's numerical calculations. Furthermore we clarify the relations between the coherent and the incoherent orbits.
Assume that f∈c~1 is a two-dimensional mapping and A_∞(f) is a set consisting of points whose orbits do not converge to any attractor of f.By tracing method we will give a sufficient condition that the set A_∞ has Lebesgue measure zero.
In this paper, two-dimensional dynamic infinite elements are reasonably classified, and the-convergence of their stiffness matrices is discussed. A more suitable numerical integral formula for calculation of the element stiffness matrices is presented. A simple example is given to demonstrate the efficiency of the numerical scheme. -