It is known that in the bifurcation diagram of a logistic map with a modulated parameter (denoted as A) a cross-over of the inner bifurcation branches in the four-cycle region appears, thus showing a three-cycle (at A = A3). In this paper we present some numerical evidences showing ...
GUI to generate bifurcation diagram for logistic map 팔로우 2.0 (3) 다운로드 수: 1.9K 업데이트 날짜: 2010/12/2 라이선스 보기공유 MATLAB Online에서 열기 다운로드 전체 보기 함수 버전 내역 리뷰 (3) 토론 ...
We comment on a paper by Luang [On the bifurcation in a “modulated” logistic map, Physics Letters A 194 (1994) 57]. The numerical evidence given in that paper, for a peculiar type of bifurcation, is shown to be incorrect. The causes of such anomalous results are explained. An accurate...
可以清晰地看到平衡点的分布在 r=0 处分岔。 例子2(Logistic map) x_{n+1}=rx_n(1-x_n) 这是个离散的动态系统,不妨碍它的变化随着参数而发生量变到质变的积累。下图是平衡点分布: Logistic map bifurcation 可以看到系统平衡点随参数 r 的变化发生了明显的分岔变化。 4.小结 分岔与混沌针对的是非线性系...
Files related to my Summer of Science Report on Nonlinear Dynamics chaosbarnsley-fernstabilityfractalsjulia-setslinearizationbifurcationhenon-mapmandelbrot-setslorenz-attractorlogistic-mapchaos-gamesir-modelnewton-fractalrossler-attractorlorenz-equationlyapunov-exponentslotka-volterra-modelstochastic-systemindex-theory ...
Figure 1. Flip bifurcation diagram of map (3) in the (α, x) plane for β1=1,β2=0.5,h1=0.05,h2=0.1. The initial value is (0.0213, 0.2326). DownLoad: Full-Size Img PowerPoint Figure 2. Flip bifurcation diagram of map (3) in the (α, y) plane for β1=1,β2=0.5,h1=0....
A bifurcation diagramof a parameter-dependent system is introduced as a partitioning of its parameter space induced by the topological equivalence of corresponding phase portraits. We introduce the notion of codimension (codim for short) in a rather naive way as the number of conditions defining ...
Transition from Torus to Chaos Accompanied by Frequency Lockings with Symmetry BreakingIn Connection with the Coupled-Logistic Map The following sections are included:IntroductionPhase Diagram and General Aspects of the Coupled-Logistic MapScaling of the Period-Adding Sequence at the F... K Kaneko 被...
Using the bifurcation diagram, the paper reveals that chaotic patterns of the compound Logistic map may emerge out of double-periodic bifurcation, and the chaotic crisis phenomena and the reverse bifurcation are found in the chaotic region. 利用分岔图,揭示出复合Logistic映射可按倍周期分岔走向混沌,且...
Logistic mapThe complete bifurcation diagram as well as the basin of attraction for the logistic map is presented for the whole range of the control parameters, namely -2≤a≤4 where the system remains finite. Equivalence of the newly found bifurcation branch to the conventional branch is shown...