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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"
// delayed logistic map: x[n+1] = alpha * x[n] * (1 - x[n-1])
// 0 < x[n] < 1
// 0 <= alpha <= 4
// taken from E. Atlee Jackson: Perspective of nonlinear dynamics (Vol. 2)
class delayed_logistic:
public map_base<1>
{
public:
delayed_logistic()
{
CHAOS_SYS_INIT(x, 0.5, 0);
CHAOS_PAR_INIT(alpha, 3.8);
m_delayed = get_x(); /* the initial state of the delay */
}
void m_step()
{
data_t x = m_data[0];
data_t alpha = CHAOS_PARAMETER(alpha);
data_t delayed = m_delayed;
m_delayed = x;
m_data[0] = alpha * x * (1.f - delayed);
}
data_t m_delayed;
CHAOS_SYSPAR_FUNCS_PRED(alpha, m_pred_alpha);
bool m_pred_alpha(t_float f)
{
return (f > 0) && (f < 4);
}
CHAOS_SYSVAR_FUNCS_PRED(x, 0, m_pred_x);
bool m_pred_x(t_float f)
{
return (f > 0) && (f < 1);
}
virtual void m_verify()
{
data_t x = m_data[0];
if (m_pred_x(x))
return;
m_data[0] = 0.5;
}
};
#define DELAYED_LOGISTIC_CALLBACKS \
MAP_CALLBACKS; \
CHAOS_SYS_CALLBACKS(alpha); \
CHAOS_SYS_CALLBACKS(x);
#define DELAYED_LOGISTIC_ATTRIBUTES \
MAP_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(alpha); \
CHAOS_SYS_ATTRIBUTE(x);
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