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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"
// roessler model: dx1/dt = - (x2 + x3)
// dx2/dt = x1 + a * x2
// dx3/dt = b + (x1 - c) * x3
// taken from Peitgen / Jürgens / Saupe: Chaos and Fractals
class roessler
: public ode_base
{
public:
roessler():
ode_base(3)
{
CHAOS_PAR_INIT(method,0);
CHAOS_PAR_INIT(dt,0.001);
CHAOS_SYS_INIT(x1,0.2,0);
CHAOS_SYS_INIT(x2,0.1,1);
CHAOS_SYS_INIT(x3,0.3,2);
CHAOS_PAR_INIT(a,4);
CHAOS_PAR_INIT(b,4);
CHAOS_PAR_INIT(c,4);
}
~roessler()
{
}
virtual void m_system(data_t* deriv, data_t* data)
{
data_t x1 = data[0], x2 = data[1], x3 = data[2];
deriv[0] = - (x2 + x3);
deriv[1] = x1 + CHAOS_PARAMETER(a) * x2;
deriv[2] = CHAOS_PARAMETER(b) + (x1 - CHAOS_PARAMETER(c)) * x3;
}
CHAOS_SYSVAR_FUNCS(x1, 0);
CHAOS_SYSVAR_FUNCS(x2, 1);
CHAOS_SYSVAR_FUNCS(x3, 2);
CHAOS_SYSPAR_FUNCS(a);
CHAOS_SYSPAR_FUNCS(b);
CHAOS_SYSPAR_FUNCS(c);
};
#define ROESSLER_CALLBACKS \
ODE_CALLBACKS; \
CHAOS_SYS_CALLBACKS(x1); \
CHAOS_SYS_CALLBACKS(x2); \
CHAOS_SYS_CALLBACKS(x3); \
CHAOS_SYS_CALLBACKS(a); \
CHAOS_SYS_CALLBACKS(b); \
CHAOS_SYS_CALLBACKS(c);
#define ROESSLER_ATTRIBUTES \
ODE_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(x1); \
CHAOS_SYS_ATTRIBUTE(x2); \
CHAOS_SYS_ATTRIBUTE(x3); \
CHAOS_SYS_ATTRIBUTE(a); \
CHAOS_SYS_ATTRIBUTE(b); \
CHAOS_SYS_ATTRIBUTE(c);
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