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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 "map_base.hpp"
// henon map: x[n+1] = y[n] + 1 - a * x[n] * x[n]
// y[n+1] = b * x[n]
// b != 0
// taken from Willi-Hans Steeb: Chaos and Fractals
class henon:
public map_base
{
public:
henon()
{
m_num_eq = 2;
m_data = new data_t[m_num_eq];
CHAOS_SYS_INIT(x,0);
CHAOS_SYS_INIT(y,0);
CHAOS_SYS_INIT(a,1.4);
CHAOS_SYS_INIT(b,0.3);
}
~henon()
{
delete m_data;
}
virtual void m_step()
{
data_t x = m_data[0];
data_t y = m_data[1];
m_data[0] = 1 + y - CHAOS_PARAMETER(a) * x * x;
m_data[1] = CHAOS_PARAMETER(b) * x;
}
CHAOS_SYSVAR_FUNCS(x, 0);
CHAOS_SYSVAR_FUNCS(y, 1);
CHAOS_SYSPAR_FUNCS(a);
CHAOS_SYSPAR_FUNCS_PRED(b, m_pred_b);
bool m_pred_b(t_float f)
{
return (f != 0);
}
};
#define HENON_CALLBACKS \
MAP_CALLBACKS; \
CHAOS_SYS_CALLBACKS(a); \
CHAOS_SYS_CALLBACKS(b); \
CHAOS_SYS_CALLBACKS(x); \
CHAOS_SYS_CALLBACKS(y);
#define HENON_ATTRIBUTES \
MAP_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(a); \
CHAOS_SYS_ATTRIBUTE(b); \
CHAOS_SYS_ATTRIBUTE(x); \
CHAOS_SYS_ATTRIBUTE(y);
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