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Diffstat (limited to 'chaos/src/coupled_logistic.hpp')
| -rw-r--r-- | chaos/src/coupled_logistic.hpp | 96 |
1 files changed, 96 insertions, 0 deletions
diff --git a/chaos/src/coupled_logistic.hpp b/chaos/src/coupled_logistic.hpp new file mode 100644 index 0000000..048aae1 --- /dev/null +++ b/chaos/src/coupled_logistic.hpp @@ -0,0 +1,96 @@ +// +// +// 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); + |