Hyperlabyrinth Chaos

show

pair

triple

all pairs

relief

number of equations

solution time

equation parameters:

A

a/ω

initial conditions:

α

β

γ

δ

plot components:

x

y

z

The system of coupled differential equations

′

x

k

(t)=A

x

k

(t)+sin(a

x

k-1

(t)+ω)

(with periodic continuation

x

n+j

(t)=

x

j

(t)

) is solved numerically for various initial conditions. The solutions are displayed as



x

k

1

(t),

x

k

2

(t)

or



x

k

1

(t),

x

k

2

(t),

x

k

3

(t)

or

{{

x

1

(t),

x

2

(t)},{

x

1

(t),

x

3

(t)},…,{

x

n-1

(t),

x

n

(t)}}

)

{

x

1

(t),

x

1

(t),

x

3

(t),…,

x

3

(t)}

. For details of this system, see the referenced paper below.