1. 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.

2. No. of division between A parameter interval:400,
Case of =10-5
Accumulation point :A= ,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.

3. No. of division between A parameter interval:400,
Case of =10-4
Accumulation point :A= ,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.

4. No. of division between A parameter interval:400,
Case of =10-3
Accumulation point :A= ,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.

5. No. of division between A parameter interval:400,
Case of =10-2
Accumulation point :A= ,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.

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