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Diffstat (limited to 'chaos/src/duffing_map.hpp')
| -rw-r--r-- | chaos/src/duffing_map.hpp | 71 |
1 files changed, 71 insertions, 0 deletions
diff --git a/chaos/src/duffing_map.hpp b/chaos/src/duffing_map.hpp new file mode 100644 index 0000000..2670b7d --- /dev/null +++ b/chaos/src/duffing_map.hpp @@ -0,0 +1,71 @@ +// +// +// 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); + |