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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"
// duffing map: x1[n+1] = x2[n]
// x2[n+1] = -b*x1[n] + a*x2[n] - pow(x2,3)
//
// taken from Viktor Avrutin: AnT-Demos-4.669
class duffing_map:
public map_base<2>
{
public:
duffing_map()
{
CHAOS_SYS_INIT(x1, 0.5, 0);
CHAOS_SYS_INIT(x2, 0.5, 1);
CHAOS_PAR_INIT(a, 0.5);
CHAOS_PAR_INIT(b, 0.5);
}
void m_step()
{
data_t x1 = m_data[0], x2 = m_data[1];
m_data[0] = x2;
m_data[1] = - CHAOS_PARAMETER(b)*x1 + CHAOS_PARAMETER(a)*x2
- x2*x2*x2;
}
CHAOS_SYSVAR_FUNCS(x1,0);
CHAOS_SYSVAR_FUNCS(x2,1);
CHAOS_SYSPAR_FUNCS(a);
CHAOS_SYSPAR_FUNCS(b);
};
#define DUFFING_MAP_CALLBACKS \
MAP_CALLBACKS; \
CHAOS_SYS_CALLBACKS(x1); \
CHAOS_SYS_CALLBACKS(x2); \
CHAOS_SYS_CALLBACKS(a); \
CHAOS_SYS_CALLBACKS(b);
#define DUFFING_MAP_ATTRIBUTES \
MAP_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(x1); \
CHAOS_SYS_ATTRIBUTE(x2); \
CHAOS_SYS_ATTRIBUTE(a); \
CHAOS_SYS_ATTRIBUTE(b);
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