m*n
2 楼
Chou wrote a book including an algorithm to calculate it.
【在 l****z 的大作中提到】
: 如题
【在 l****z 的大作中提到】
: 如题
m*n
3 楼
1999,2000
PRL reported two methods to calculate Lyapunov exponents. To my experience, th
eperformance of both methods is very poor.
【在 m****n 的大作中提到】
: Chou wrote a book including an algorithm to calculate it.
PRL reported two methods to calculate Lyapunov exponents. To my experience, th
eperformance of both methods is very poor.
【在 m****n 的大作中提到】
: Chou wrote a book including an algorithm to calculate it.
l*z
4 楼
那怎么计算连续的洛仑兹系统的李亚普诺夫指数啊，
比如说，洛仑兹系统为：
dx/dt=a(y-x)
dy/dt=rx-y-xz
dz/dt=xy-bz
当a=10,r=28,b=2.66时
为什么说它的子系统{dx/dt=a(y-x)，dz/dt=xy-bz}的Lyapunov指数是-2.65和-10.0
当子系统是{dy/dt=rx-y-xz，dz/dt=xy-bz}时，Lyapunov指数是-1.77和-1.88
大虾指点，不胜感激。
th
【在 m****n 的大作中提到】
: 1999,2000
: PRL reported two methods to calculate Lyapunov exponents. To my experience, th
: eperformance of both methods is very poor.
比如说，洛仑兹系统为：
dx/dt=a(y-x)
dy/dt=rx-y-xz
dz/dt=xy-bz
当a=10,r=28,b=2.66时
为什么说它的子系统{dx/dt=a(y-x)，dz/dt=xy-bz}的Lyapunov指数是-2.65和-10.0
当子系统是{dy/dt=rx-y-xz，dz/dt=xy-bz}时，Lyapunov指数是-1.77和-1.88
大虾指点，不胜感激。
th
【在 m****n 的大作中提到】
: 1999,2000
: PRL reported two methods to calculate Lyapunov exponents. To my experience, th
: eperformance of both methods is very poor.
m*n
5 楼
Determining Lyapunov exponents from a time series
A. Wolf, Phys. D 16 (285)
In this paper, a Lyapunov spectrum program for systems of differential
equations is present. This program was written in Fortran.
I have written a program for calculating Lyapunov exponents in Java. If you
like it, I will post it here.
experience,
【在 l****z 的大作中提到】
: 那怎么计算连续的洛仑兹系统的李亚普诺夫指数啊，
: 比如说，洛仑兹系统为：
: dx/dt=a(y-x)
: dy/dt=rx-y-xz
: dz/dt=xy-bz
: 当a=10,r=28,b=2.66时
: 为什么说它的子系统{dx/dt=a(y-x)，dz/dt=xy-bz}的Lyapunov指数是-2.65和-10.0
: 当子系统是{dy/dt=rx-y-xz，dz/dt=xy-bz}时，Lyapunov指数是-1.77和-1.88
: 大虾指点，不胜感激。
:
A. Wolf, Phys. D 16 (285)
In this paper, a Lyapunov spectrum program for systems of differential
equations is present. This program was written in Fortran.
I have written a program for calculating Lyapunov exponents in Java. If you
like it, I will post it here.
experience,
【在 l****z 的大作中提到】
: 那怎么计算连续的洛仑兹系统的李亚普诺夫指数啊，
: 比如说，洛仑兹系统为：
: dx/dt=a(y-x)
: dy/dt=rx-y-xz
: dz/dt=xy-bz
: 当a=10,r=28,b=2.66时
: 为什么说它的子系统{dx/dt=a(y-x)，dz/dt=xy-bz}的Lyapunov指数是-2.65和-10.0
: 当子系统是{dy/dt=rx-y-xz，dz/dt=xy-bz}时，Lyapunov指数是-1.77和-1.88
: 大虾指点，不胜感激。
:
m*n
6 楼
Title
Practical numerical algorithms for chaotic systems / by Thomas S. Parker and
Leon O. Chua
Publisher Springer, 1989
ISBN 3540966897
Class no. 530.13 PAR
Authors Parker,
计算注意
1。高进度
2。合理安排计算顺序，降低计算机舍入误差。
如果计算结果显得不合理，应该查舍入误差有多大。Phys. Rev. Lett.都曾经发表过
由于计算机舍入误差导致的"新“结果。
【在 m****n 的大作中提到】
: Determining Lyapunov exponents from a time series
: A. Wolf, Phys. D 16 (285)
: In this paper, a Lyapunov spectrum program for systems of differential
: equations is present. This program was written in Fortran.
: I have written a program for calculating Lyapunov exponents in Java. If you
: like it, I will post it here.
:
: experience,
Practical numerical algorithms for chaotic systems / by Thomas S. Parker and
Leon O. Chua
Publisher Springer, 1989
ISBN 3540966897
Class no. 530.13 PAR
Authors Parker,
计算注意
1。高进度
2。合理安排计算顺序，降低计算机舍入误差。
如果计算结果显得不合理，应该查舍入误差有多大。Phys. Rev. Lett.都曾经发表过
由于计算机舍入误差导致的"新“结果。
【在 m****n 的大作中提到】
: Determining Lyapunov exponents from a time series
: A. Wolf, Phys. D 16 (285)
: In this paper, a Lyapunov spectrum program for systems of differential
: equations is present. This program was written in Fortran.
: I have written a program for calculating Lyapunov exponents in Java. If you
: like it, I will post it here.
:
: experience,
l*z
7 楼
你的程序可以给我看看么，真是比较急。
【在 m****n 的大作中提到】
: Determining Lyapunov exponents from a time series
: A. Wolf, Phys. D 16 (285)
: In this paper, a Lyapunov spectrum program for systems of differential
: equations is present. This program was written in Fortran.
: I have written a program for calculating Lyapunov exponents in Java. If you
: like it, I will post it here.
:
: experience,
【在 m****n 的大作中提到】
: Determining Lyapunov exponents from a time series
: A. Wolf, Phys. D 16 (285)
: In this paper, a Lyapunov spectrum program for systems of differential
: equations is present. This program was written in Fortran.
: I have written a program for calculating Lyapunov exponents in Java. If you
: like it, I will post it here.
:
: experience,
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