Re: pursuit curve (differential equations)
- To: mathgroup at smc.vnet.net
- Subject: [mg72863] Re: [mg72843] pursuit curve (differential equations)
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Tue, 23 Jan 2007 04:43:12 -0500 (EST)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <200701220847.DAA17062@smc.vnet.net>
- Reply-to: murray at math.umass.edu
What's poc0? Why use a dot? Don't you mean a simple multiplication (denoted by * or just juxtaposition with no symbol)? After all, p, q, x, and y presumably are already scalar-valued, not vector-valued. Trijezni Pijanac wrote: > hi i am doing pursuit curve in mathematica.. for instance, fox is chasing a > rabbit - rabbit has a certain defined path (for example - a circle > {cos(t),sin(t)}. fox always heads directly toward the rabbit. > > k - relative speed fox/rabbit > p,q - rabbit's path (for instance a circle {cos(t),sin(t)} > x,y - fox's path > t - time :) > > soln = NDSolve[ > { > x'[t] == k.Sqrt[p'[t]^2 + q'[t]^2].(p - x[t]) > /Sqrt[(p - x[t])^2 + (q - y[t])^2], > y'[t] == k.Sqrt[p'[t]^2 + q'[t]^2].(y - q[t]) > /Sqrt[(p - x[t])^2 + (q - y[t])^2], > x[0] == poc0[[1]], > y[0] == poc0[[2]] > }, > {x[t], y[t]}, {t, t0, t1}]; > > but this wont work, any suggestions? > -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305
- References:
- pursuit curve (differential equations)
- From: Trijezni Pijanac <trijezni.pijanac@gmail.com>
- pursuit curve (differential equations)