Path: unixg.ubc.ca!news.mic.ucla.edu!library.ucla.edu!europa.eng.gtefsd.com!darwin.sura.net!paladin.american.edu!auvm!VAXB.MIDDLESEX.AC.UK!DAVID1 Comments: Gated by NETNEWS@AUVM.AMERICAN.EDU Newsgroups: bit.listserv.frac-l Via: uk.ac.mdx.vaxa; Mon, 27 Jun 1994 00:09:14 +0100 Message-ID: Date: Mon, 27 Jun 1994 00:10:00 GMT Sender: "\"FRACTAL\" discussion list" From: DAVID1@VAXB.MIDDLESEX.AC.UK Subject: Ramiro Perez Volterra .FRM Lines: 33 These are the Volterra-Lotka Formulas p 125 BOF received from Ramiro Perez: comment={received from Ramiro Perez 18 Aug 93 } V-Euler{ x=real(pixel), y=imag(pixel), h=real(p1)/2: u=x-x*y, w=-y+x*y, c=x+h*(u+u), d=y+h*(w+w), x=c, y=d, z=x+flip(y), |z|<=p2 } V-Heun{ x=real(pixel), y=imag(pixel), p=real(p1), h=imag(p1)/2: u=x-x*y, w=-y+x*y, a=x+p*u, b=y+p*w, c=x+h*(u+(a-a*b)), d=y+h*(w+(-b+a*b)), x=c, y=d, z=x+flip(y), |z|<=p2 } Regards David Walter London england.