// // // 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" // coupled_logistic map: x[n+1] = r * x[n] * (1 - x[n]) + e * (y[n] - x[n]) // y[n+1] = r * y[n] * (1 - y[n]) + e * (x[n] - y[n]) // 0 <= r <= 4 // taken from Willi-Hans Steeb: Chaos and Fractals class coupled_logistic: public map_base<2> { public: coupled_logistic() { CHAOS_PAR_INIT(e, 0.06); CHAOS_PAR_INIT(r, 3.7); CHAOS_SYS_INIT(x, 0.1,0); CHAOS_SYS_INIT(y, 0.2,1); } virtual inline void m_step() { data_t x = m_data[0]; data_t y = m_data[1]; data_t e = CHAOS_PARAMETER(e); data_t r = CHAOS_PARAMETER(r); m_data[0] = r * x * (1.f - x) + e * (y - x); m_data[1] = r * y * (1.f - y) + e * (x - y); m_verify(); } CHAOS_SYSPAR_FUNCS(e); CHAOS_SYSPAR_FUNCS_PRED(r, m_pred_r); static bool m_pred_r(t_float f) { return (f > 0) && (f < 4); } CHAOS_SYSVAR_FUNCS_PRED(x, 0, m_pred_xy); CHAOS_SYSVAR_FUNCS_PRED(y, 0, m_pred_xy); static bool m_pred_xy(t_float f) { return (f > 0) && (f < 1); } inline void m_verify() { data_t x = m_data[0]; data_t y = m_data[1]; if (!m_pred_xy(x)) m_data[0] = rand_range(0,0.08); if (!m_pred_xy(y)) m_data[1] = rand_range(0,0.08); if (x == y) { m_data[0] += rand_range(0,0.2); m_data[1] += -rand_range(0,0.2); } } }; #define COUPLED_LOGISTIC_CALLBACKS \ MAP_CALLBACKS; \ CHAOS_SYS_CALLBACKS(e); \ CHAOS_SYS_CALLBACKS(r); \ CHAOS_SYS_CALLBACKS(x); \ CHAOS_SYS_CALLBACKS(y); #define COUPLED_LOGISTIC_ATTRIBUTES \ MAP_ATTRIBUTES; \ CHAOS_SYS_ATTRIBUTE(e); \ CHAOS_SYS_ATTRIBUTE(r); \ CHAOS_SYS_ATTRIBUTE(x); \ CHAOS_SYS_ATTRIBUTE(y);