From 43dd4efedf1ecfe721cde5830bdcee67ffa48907 Mon Sep 17 00:00:00 2001
From: Tim Blechmann <timblech@users.sourceforge.net>
Date: Tue, 28 Dec 2004 12:38:45 +0000
Subject: a few new attractors ...

svn path=/trunk/externals/tb/; revision=2434
---
 chaos/src/duffing_map.hpp | 76 +++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 76 insertions(+)
 create mode 100644 chaos/src/duffing_map.hpp

(limited to 'chaos/src/duffing_map.hpp')

diff --git a/chaos/src/duffing_map.hpp b/chaos/src/duffing_map.hpp
new file mode 100644
index 0000000..71b8cbd
--- /dev/null
+++ b/chaos/src/duffing_map.hpp
@@ -0,0 +1,76 @@
+// 
+//  
+//  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
+{
+public:
+	duffing_map()
+	{
+		m_num_eq = 2;
+		m_data = new data_t[m_num_eq];
+		CHAOS_SYS_INIT(x1, 0.5);
+		CHAOS_SYS_INIT(x2, 0.5);
+		CHAOS_SYS_INIT(a, 0.5);
+		CHAOS_SYS_INIT(b, 0.5);
+	}
+
+	~duffing_map()
+	{
+		delete m_data;
+	}
+
+	virtual 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);
+
-- 
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