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authorIOhannes m zmölnig <zmoelnig@iem.at>2015-10-14 15:14:38 +0200
committerIOhannes m zmölnig <zmoelnig@iem.at>2015-10-14 15:14:38 +0200
commit28b7e464fd119b8c848753a1f41070422c463c41 (patch)
tree07449abdf85d8f1fd4068839b974242b429720ca /chaos/src/lorenz.hpp
parent90c6018a9401e38859f733b3521c919e042322b7 (diff)
parent6932ee2d22511226378218992b0005cb01eb235e (diff)
- abstractions/tb - externals/tb
Diffstat (limited to 'chaos/src/lorenz.hpp')
-rw-r--r--chaos/src/lorenz.hpp101
1 files changed, 101 insertions, 0 deletions
diff --git a/chaos/src/lorenz.hpp b/chaos/src/lorenz.hpp
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+//
+//
+// chaos~
+// Copyright (C) 2004 Tim Blechmann
+//
+// This program is free software; you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation; either version 2 of the License, or
+// (at your option) any later version.
+//
+// This program is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with this program; see the file COPYING. If not, write to
+// the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+// Boston, MA 02111-1307, USA.
+
+#include "ode_base.hpp"
+
+// lorenz model: dx1/dt = sigma * (x2 - x1)
+// dx2/dt = - x1 * x3 + r * x1 - x2
+// dx3/dt = x1 * x2 - b * x3
+// taken from Willi-Hans Steeb: Chaos and Fractals
+
+class lorenz
+ : public ode_base<3>
+{
+public:
+ lorenz()
+ {
+ CHAOS_PAR_INIT(method,0);
+ CHAOS_PAR_INIT(dt,0.01);
+
+ CHAOS_SYS_INIT(x1,0.8,0);
+ CHAOS_SYS_INIT(x2,0.7,1);
+ CHAOS_SYS_INIT(x3,0.6,2);
+
+ CHAOS_PAR_INIT(sigma,16);
+ CHAOS_PAR_INIT(b,4);
+ CHAOS_PAR_INIT(r,40);
+ }
+
+ ~lorenz()
+ {
+ }
+
+ virtual void m_system(data_t* deriv, data_t* data)
+ {
+ data_t x1 = data[0], x2 = data[1], x3 = data[2];
+
+ deriv[0] = CHAOS_PARAMETER(sigma) * (x2 - x1);
+ deriv[1] = - x1 * x3 + CHAOS_PARAMETER(r) * x1 - x2;
+ deriv[2] = x1 * x2 - CHAOS_PARAMETER(b) * x3;
+ }
+
+
+ /* function has a fix point for x1 == x2 == x3 == 0 */
+ virtual void m_verify()
+ {
+ if (m_data[0] == 0 && m_data[1] == 0 && m_data[2] == 0)
+ for (int i = 0; i != 3; ++i)
+ m_data[i] = rand_range(0,3);
+ }
+
+
+ CHAOS_SYSVAR_FUNCS(x1, 0);
+ CHAOS_SYSVAR_FUNCS(x2, 1);
+ CHAOS_SYSVAR_FUNCS(x3, 2);
+
+ CHAOS_SYSPAR_FUNCS_PRED(sigma, m_pred);
+ CHAOS_SYSPAR_FUNCS_PRED(b, m_pred);
+ CHAOS_SYSPAR_FUNCS_PRED(r, m_pred);
+
+ bool m_pred (t_float f)
+ {
+ return (f > 0);
+ }
+
+};
+
+
+#define LORENZ_CALLBACKS \
+ODE_CALLBACKS; \
+CHAOS_SYS_CALLBACKS(x1); \
+CHAOS_SYS_CALLBACKS(x2); \
+CHAOS_SYS_CALLBACKS(x3); \
+CHAOS_SYS_CALLBACKS(sigma); \
+CHAOS_SYS_CALLBACKS(r); \
+CHAOS_SYS_CALLBACKS(b);
+
+#define LORENZ_ATTRIBUTES \
+ODE_ATTRIBUTES; \
+CHAOS_SYS_ATTRIBUTE(x1); \
+CHAOS_SYS_ATTRIBUTE(x2); \
+CHAOS_SYS_ATTRIBUTE(x3); \
+CHAOS_SYS_ATTRIBUTE(sigma); \
+CHAOS_SYS_ATTRIBUTE(r); \
+CHAOS_SYS_ATTRIBUTE(b);