Collaboration of Clint Sprott with Zeraoulia Elhadj

Collaboration of Clint Sprott with Zeraoulia Elhadj 

Icon  Name                    Last modified      Size  Description
[DIR] Parent Directory                             -   
[   ] 3dode2.pdf              27-Oct-2008 11:43  270K  PDF document
[   ] 3dode2.tex              23-Oct-2008 15:28   32K  Text/LaTeX source code
[   ] Chapter 1.tex           29-Oct-2009 16:12  127K  Text/LaTeX source code
[   ] Chapter 2.tex           29-Oct-2009 16:12  138K  Text/LaTeX source code
[   ] fig03.bas               15-Apr-2009 14:05   35K  Text/BASIC source code
[IMG] fig03.bmp               15-Apr-2009 14:06  2.0M  Image/bmp
[   ] FIG03.EPS               15-Apr-2009 14:06  1.3M  Encapsulated postscript
[   ] fig03.exe               15-Apr-2009 14:05   72K  Application/octet-Stream
[   ] fig04.bas               15-Apr-2009 14:21   35K  Text/BASIC source code
[IMG] fig04.bmp               15-Apr-2009 14:24  2.0M  Image/bmp
[   ] FIG04.EPS               15-Apr-2009 14:24  1.3M  Encapsulated postscript
[   ] fig04.exe               15-Apr-2009 14:21   72K  Application/octet-Stream
[   ] fig05.bas               15-Apr-2009 14:28   35K  Text/BASIC source code
[IMG] fig05.bmp               15-Apr-2009 14:30  2.0M  Image/bmp
[   ] FIG05.EPS               15-Apr-2009 14:30  1.3M  Encapsulated postscript
[   ] fig05.exe               15-Apr-2009 14:28   72K  Application/octet-Stream
[   ] fig06.bas               15-Apr-2009 14:29   35K  Text/BASIC source code
[IMG] fig06.bmp               15-Apr-2009 14:32  2.0M  Image/bmp
[   ] FIG06.EPS               15-Apr-2009 14:32  1.3M  Encapsulated postscript
[   ] fig06.exe               15-Apr-2009 14:29   72K  Application/octet-Stream
[   ] fig07.bas               15-Apr-2009 14:29   35K  Text/BASIC source code
[IMG] fig07.bmp               15-Apr-2009 14:32  2.0M  Image/bmp
[   ] FIG07.EPS               15-Apr-2009 14:32  1.3M  Encapsulated postscript
[   ] fig07.exe               15-Apr-2009 14:29   72K  Application/octet-Stream
[   ] fig08.bas               16-Oct-2008 21:29  8.1K  Text/BASIC source code
[IMG] fig08.bmp               16-Oct-2008 21:29  1.5M  Image/bmp
[   ] FIG08.EPS               16-Oct-2008 21:29  1.0M  Encapsulated postscript
[   ] fig08.exe               16-Oct-2008 21:29   45K  Application/octet-Stream
[   ] fig09.bas               16-Oct-2008 21:29  8.1K  Text/BASIC source code
[IMG] fig09.bmp               16-Oct-2008 21:29  1.5M  Image/bmp
[   ] FIG09.EPS               16-Oct-2008 21:30  1.0M  Encapsulated postscript
[   ] fig09.exe               16-Oct-2008 21:30   45K  Application/octet-Stream
[   ] fig10.bas               16-Oct-2008 21:30  8.1K  Text/BASIC source code
[IMG] fig10.bmp               16-Oct-2008 21:30  1.5M  Image/bmp
[   ] FIG10.EPS               16-Oct-2008 21:30  1.0M  Encapsulated postscript
[   ] fig10.exe               16-Oct-2008 21:30   45K  Application/octet-Stream
Read Me

These figures and the programs that produced them were produced and copyrighted by J. C. Sprott. They show properties of the system

dx/dt = alpha[y - h(x,z)]

dy/dt = x - y + z
 
dz/dt = -beta y
 
where

h(x) = f(x) for |z| > a

h(x) = f(x) for |z| < a

and

f(x) = m1x + ½(m0 - m1)(|x + 1| - |x - 1|)

A paper based on this work in collaboration with Zeraoulia Elhadj has been published in the International Journal of Bifurcation and Chaos.