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//
//
// 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"
// chua system: dx1/dt = alpha * (x2 - x1 - h(x1))
// dx2/dt = x1 - x2 + x3
// dx3/dt = - beta * x2
//
// with h(x) = b*x + a - b (for x > 1)
// a*x (for -1 <= x <= 1
// b*x - a + b (for x < -1)
//
// taken from Viktor Avrutin: lecture note
class chua:
public ode_base
{
public:
chua()
{
m_num_eq = 3;
m_data = new data_t[m_num_eq];
CHAOS_SYS_INIT(x1,1);
CHAOS_SYS_INIT(x2,1);
CHAOS_SYS_INIT(x3,1);
CHAOS_SYS_INIT(a,1.4);
CHAOS_SYS_INIT(b,0.3);
CHAOS_SYS_INIT(alpha,0.3);
CHAOS_SYS_INIT(beta,0.3);
ode_base_alloc();
}
~chua()
{
ode_base_free();
delete m_data;
}
virtual void m_system(data_t* deriv, data_t* data)
{
data_t x1 = data[0];
data_t x2 = data[1];
data_t x3 = data[2];
data_t a = CHAOS_PARAMETER(a), b = CHAOS_PARAMETER(b);
data_t h;
if (x1 > 1)
h = b*x1 + a - b;
else if (x1 < -1)
h = b*x1 - a + b;
else
h = a*x1;
deriv[0] = CHAOS_PARAMETER(alpha) * (x2 - x1 - h);
deriv[1] = x1 - x2 + x3;
deriv[2] = - CHAOS_PARAMETER(beta) * x2;
}
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(alpha);
CHAOS_SYSPAR_FUNCS(beta);
};
#define CHUA_CALLBACKS \
ODE_CALLBACKS; \
CHAOS_SYS_CALLBACKS(alpha); \
CHAOS_SYS_CALLBACKS(beta); \
CHAOS_SYS_CALLBACKS(a); \
CHAOS_SYS_CALLBACKS(b); \
CHAOS_SYS_CALLBACKS(x1); \
CHAOS_SYS_CALLBACKS(x2); \
CHAOS_SYS_CALLBACKS(x3);
#define CHUA_ATTRIBUTES \
ODE_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(a); \
CHAOS_SYS_ATTRIBUTE(b); \
CHAOS_SYS_ATTRIBUTE(alpha); \
CHAOS_SYS_ATTRIBUTE(beta); \
CHAOS_SYS_ATTRIBUTE(x1); \
CHAOS_SYS_ATTRIBUTE(x2); \
CHAOS_SYS_ATTRIBUTE(x3);
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