poster09_sub1.pdf

Difference Equation and Chaos
Visualizing NonLinear Phenomenon
扱った微分方程式
dx = - y + ε
( a2 - x2 - y 2 )
x
dt
dy = x + ε
( a2 - x 2 - y2 )
y
dt
dx = - y
dt
dy = x
dt
We
dx = y
dt
dy =
- x 3 - ky + Bcos(νt)
dt
dx = y
dt
dy = μ(1 - x )y - x + Xcos(νt)
dt
リミットサイクルとカオス
dx - ( x + z )
=
dt
dy = x + ay
dt
dz =
b + z( x - c )
dt
dv C1
C1 dt
dv C2
C2
dt