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Diffstat (limited to 'chaos/src/roessler.hpp')
-rw-r--r-- | chaos/src/roessler.hpp | 82 |
1 files changed, 82 insertions, 0 deletions
diff --git a/chaos/src/roessler.hpp b/chaos/src/roessler.hpp new file mode 100644 index 0000000..aa03a47 --- /dev/null +++ b/chaos/src/roessler.hpp @@ -0,0 +1,82 @@ +// +// +// 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 "ode_base.hpp" + +// roessler model: dx1/dt = - (x2 + x3) +// dx2/dt = x1 + a * x2 +// dx3/dt = b + (x1 - c) * x3 +// taken from Peitgen / J�rgens / Saupe: Chaos and Fractals + +class roessler + : public ode_base<3> +{ +public: + roessler() + { + CHAOS_PAR_INIT(method,0); + CHAOS_PAR_INIT(dt,0.001); + + CHAOS_SYS_INIT(x1,0.2,0); + CHAOS_SYS_INIT(x2,0.1,1); + CHAOS_SYS_INIT(x3,0.3,2); + + CHAOS_PAR_INIT(a,4); + CHAOS_PAR_INIT(b,4); + CHAOS_PAR_INIT(c,4); + } + + + virtual void m_system(data_t* deriv, data_t* data) + { + data_t x1 = data[0], x2 = data[1], x3 = data[2]; + + deriv[0] = - (x2 + x3); + deriv[1] = x1 + CHAOS_PARAMETER(a) * x2; + deriv[2] = CHAOS_PARAMETER(b) + (x1 - CHAOS_PARAMETER(c)) * x3; + } + + CHAOS_SYSVAR_FUNCS(x1, 0); + CHAOS_SYSVAR_FUNCS(x2, 1); + CHAOS_SYSVAR_FUNCS(x3, 2); + + CHAOS_SYSPAR_FUNCS(a); + CHAOS_SYSPAR_FUNCS(b); + CHAOS_SYSPAR_FUNCS(c); +}; + + +#define ROESSLER_CALLBACKS \ +ODE_CALLBACKS; \ +CHAOS_SYS_CALLBACKS(x1); \ +CHAOS_SYS_CALLBACKS(x2); \ +CHAOS_SYS_CALLBACKS(x3); \ +CHAOS_SYS_CALLBACKS(a); \ +CHAOS_SYS_CALLBACKS(b); \ +CHAOS_SYS_CALLBACKS(c); + +#define ROESSLER_ATTRIBUTES \ +ODE_ATTRIBUTES; \ +CHAOS_SYS_ATTRIBUTE(x1); \ +CHAOS_SYS_ATTRIBUTE(x2); \ +CHAOS_SYS_ATTRIBUTE(x3); \ +CHAOS_SYS_ATTRIBUTE(a); \ +CHAOS_SYS_ATTRIBUTE(b); \ +CHAOS_SYS_ATTRIBUTE(c); |