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Diffstat (limited to 'chaos/src/gaussian_map.hpp')
-rw-r--r-- | chaos/src/gaussian_map.hpp | 77 |
1 files changed, 77 insertions, 0 deletions
diff --git a/chaos/src/gaussian_map.hpp b/chaos/src/gaussian_map.hpp new file mode 100644 index 0000000..7793814 --- /dev/null +++ b/chaos/src/gaussian_map.hpp @@ -0,0 +1,77 @@ +// +// +// 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" + + +// gaussian map: x[n+1] = exp(-b * x[n] * x[n]) + c +// +// taken from Robert C. Hilborn: Chaos and Nonlinear Dynamics + +class gaussian_map: + public map_base<1> +{ +public: + gaussian_map() + { + CHAOS_SYS_INIT(x, 0.5, 0); + + CHAOS_PAR_INIT(b,7); + CHAOS_PAR_INIT(c,0.5); + } + + + + void m_step() + { + data_t data = m_data[0]; + + if (data == 0) + m_data[0] = 0.001; + else + m_data[0] = exp(-CHAOS_PARAMETER(b) * data * data) + + CHAOS_PARAMETER(c); + } + + CHAOS_SYSVAR_FUNCS_PRED(x, 0, m_pred_x); + bool m_pred_x(t_float f) + { + return (f >= 0) && (f < 1); + } + + CHAOS_SYSPAR_FUNCS(b); + CHAOS_SYSPAR_FUNCS(c); + +}; + +#define GAUSSIAN_MAP_CALLBACKS \ +MAP_CALLBACKS; \ +CHAOS_SYS_CALLBACKS(x); \ +CHAOS_SYS_CALLBACKS(b); \ +CHAOS_SYS_CALLBACKS(c); + +#define GAUSSIAN_MAP_ATTRIBUTES \ +MAP_ATTRIBUTES; \ +CHAOS_SYS_ATTRIBUTE(x); \ +CHAOS_SYS_ATTRIBUTE(b); \ +CHAOS_SYS_ATTRIBUTE(c); + + + |