1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
|
//
//
// chaos~
// Copyright (C) 2005 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"
// duffing equation: dx/dt = y
// dy/dt = x * (1 - x^2) + R*cos(omega * t) - gamma * y
//
class duffing:
public ode_base<2>
{
public:
duffing()
{
CHAOS_PAR_INIT(method,0);
CHAOS_PAR_INIT(dt,0.01);
CHAOS_SYS_INIT(x, 0.5, 0);
CHAOS_SYS_INIT(y, 0.5, 1);
CHAOS_PAR_INIT(R, 0.4);
CHAOS_PAR_INIT(omega, 1);
CHAOS_PAR_INIT(gamma, 0.25);
t = 0;
}
virtual void m_system(data_t* deriv, data_t* data)
{
data_t x = data[0], y = data[1];
deriv[0] = y;
deriv[1] = x * (1 - x*x) +
CHAOS_PARAMETER(R) * cos( CHAOS_PARAMETER(omega) * t) -
CHAOS_PARAMETER(gamma) * y;
t += CHAOS_PARAMETER(dt);
t = std::fmod(t, data_t(M_PI));
}
virtual void m_verify()
{
if (m_data[0] == 0 && m_data[1] == 0 && m_data[2] == 0)
for (int i = 0; i != 3; ++i)
m_data[i] = rand_range(0,3);
}
CHAOS_SYSVAR_FUNCS(x,0);
CHAOS_SYSVAR_FUNCS(y,1);
CHAOS_SYSPAR_FUNCS(R);
CHAOS_SYSPAR_FUNCS(omega);
CHAOS_SYSPAR_FUNCS(gamma);
private:
data_t t;
};
#define DUFFING_CALLBACKS \
ODE_CALLBACKS; \
CHAOS_SYS_CALLBACKS(x); \
CHAOS_SYS_CALLBACKS(y); \
CHAOS_SYS_CALLBACKS(R); \
CHAOS_SYS_CALLBACKS(gamma); \
CHAOS_SYS_CALLBACKS(omega);
#define DUFFING_ATTRIBUTES \
ODE_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(x); \
CHAOS_SYS_ATTRIBUTE(y); \
CHAOS_SYS_ATTRIBUTE(R); \
CHAOS_SYS_ATTRIBUTE(gamma); \
CHAOS_SYS_ATTRIBUTE(omega);
|
