Eui-Sun Lee Department of Physics Kangwon National University

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Presentation transcript:

Study of Stochastic 1D Map near the Critical Point with the Varying Noise Strength Eui-Sun Lee Department of Physics Kangwon National University • Stochastic 1D map Lyapunov exponent a b a: -<<0, b: 0.

No. of division between A parameter interval:400, Case of =10-5 Accumulation point :A=0.351 003,Parameter Scaling factor:=4.6,Orbital scalng factor: =-2.5. No. of division between A parameter interval:400, No. of transient step:2,000, No. of map plots: 400, No. of average:10,000.

No. of division between A parameter interval:400, Case of =10-4 Accumulation point :A=0.351 003,Parameter Scaling factor:=4.6,Orbital scalng factor: =-2.5. No. of division between A parameter interval:400, No. of transient step:2,000, No. of map plots: 400, No. of average:10,000.

No. of division between A parameter interval:400, Case of =10-3 Accumulation point :A=0.351 003,Parameter Scaling factor:=4.6,Orbital scalng factor: =-2.5. No. of division between A parameter interval:400, No. of transient step:2,000, No. of map plots: 400, No. of average:10,000.

No. of division between A parameter interval:400, Case of =10-2 Accumulation point :A=0.351 003,Parameter Scaling factor:=4.6,Orbital scalng factor: =-2.5. No. of division between A parameter interval:400, No. of transient step:2,000, No. of map plots: 400, No. of average:10,000.

Summary As the Noise Strength Increases, the Bifurcation Structure is Smeared.