📄 attractor.m
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% where k arbitrary
% - tentmap1: tent like map 1
% /
% | k*x[n-1] , if (0<=x[n-1]) & (x[n-1]<1/3)
% x[n] = | k*(2/3-x[n-1]) , if (1/3<=x[n-1]) & (x[n-1]<2/3)
% | k*(-2/3+x[n-1]), otherwise
% \
% where k arbitrary
% - tentmap2: tent like map 2
% /
% | k*x[n-1] , if (0<=x[n-1]) & (x[n-1]<1/4)
% x[n] = | sqrt(k)*(1-2*x[n-1]) , if (1/4<=x[n-1]) & (x[n-1]<1/2)
% | sqrt(k)*(2*x[n-1]-1) , if (1/2<=x[n-1]) & (x[n-1]<3/4)
% | k*(1-x[n-1]) , otherwise
% \
% where k arbitrary
% - tentmap: tent map
% x[n] = k*(1-abs(1-2*x[n-1]))
% where k arbitrary
if nargin==0
%set paths
addpath([pwd '\Cont']);
addpath([pwd '\Discr']);
addpath([pwd '\Prvt']);
%initialize GUI
srtAttractorGUI;
%set default generator (ChuaCirc)
% d=dir('Cont');
% str = {d.name};
% s=cell2struct(str(3),{'str'},1);
% fcname=s.str(1:end-2);
hndf=gcf;
set(findobj(hndf,'Tag','popupGT'), 'Value', 1);
fcname = 'ChuaCirc';
set(findobj(hndf,'Tag','edtTitle'),'FontSize',10,'String',fcname)
%set default values
structData=AttInit(fcname);
vSelVar=structData.SelVar;
y0=structData.InitCond;
rParam=structData.ParamVal;
vTimeRange=structData.TimeRange;
if ~isempty(vSelVar) | ~isempty(y0) | ~isempty(rParam) | ~isempty(vTimeRange)
%display default values
cla
set(findobj(hndf,'Tag','edtSelVar'),'String',num2str(vSelVar,2));
set(findobj(hndf,'Tag','edtInitCond'),'String',num2str(y0,2));
set(findobj(hndf,'Tag','edtParamVal'),'String',num2str(rParam));
set(findobj(hndf,'Tag','edtTimeRange'),'String',num2str(vTimeRange,2));
set(findobj(hndf,'Tag','txtVal'),'String',[])
end
elseif strcmp(action,'Start')
hndf=gcf;
%set buttons
set(findobj(hndf,'Tag','btnStop'), 'Enable', 'on');
set(findobj(hndf,'Tag','btnNewPlot'), 'Enable', 'off');
set(findobj(hndf,'Tag','btnExit'), 'Enable', 'off');
set(findobj(hndf,'Tag','btnBrowse'), 'Enable', 'off');
set(findobj(hndf,'Tag','popupGT'), 'Enable', 'off');
%get current values
fcname=get(findobj(hndf,'Tag','edtTitle'),'String');
vSelVar=str2num(get(findobj(hndf,'Tag','edtSelVar'),'String'));
y0=str2num(get(findobj(hndf,'Tag','edtInitCond'),'String'));
rParam=str2num(get(findobj(hndf,'Tag','edtParamVal'),'String'));
vTimeRange=str2num(get(findobj(hndf,'Tag','edtTimeRange'),'String'));
nVal=get(findobj(hndf,'Tag','popupGT'),'Value');
%select solver
if nVal==1
options=odeset('OutputFcn','m_odephas2','OutputSel',vSelVar);
ode45(fcname,vTimeRange,y0,options,rParam);
elseif nVal==2
m_dre(fcname,vTimeRange,y0,rParam)
end
%set buttons
set(findobj(hndf,'Tag','btnStop'), 'Enable', 'off');
set(findobj(hndf,'Tag','btnNewPlot'), 'Enable', 'on');
set(findobj(hndf,'Tag','btnExit'), 'Enable', 'on');
set(findobj(hndf,'Tag','btnBrowse'), 'Enable', 'on');
set(findobj(hndf,'Tag','popupGT'), 'Enable', 'on');
elseif strcmp(action,'Stop')
hndf=gcf;
%set buttons
set(findobj(hndf,'Tag','btnStart'), 'Enable', 'on');
set(findobj(hndf,'Tag','btnStop'), 'Enable', 'off');
set(findobj(hndf,'Tag','btnNewPlot'), 'Enable', 'on');
set(findobj(hndf,'Tag','btnExit'), 'Enable', 'on');
set(findobj(hndf,'Tag','btnBrowse'), 'Enable', 'on');
set(findobj(hndf,'Tag','popupGT'), 'Enable', 'on');
%set flag
ud=get(hndf,'UserData');
ud.stop=1;
set(hndf,'UserData',ud);
elseif strcmp(action,'NewPlot')
hndf=gcf;
ud=get(hndf,'UserData');
fcname=get(findobj(hndf,'Tag','edtTitle'),'String');
h0 = figure('Units','normalized','Color',[1 1 1],'Name','2D Attractor - new plot', ...
'ToolBar','none','Numbertitle','off','Position',[0.15 0.15 0.65 0.7]);
axes('Parent',h0,'Position',[0.07 0.07 0.87 0.85]);
box
if get(findobj(hndf,'Tag','popupGT'),'Value')==2 & ...
~str2num(get(findobj(hndf,'Tag','edtSelVar'),'String'))
plot(ud.y(:,1),ud.y(:,2),'.')
else
plot(ud.y(:,1),ud.y(:,2))
end
axis tight
%Text : axes title
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[1 1 1], ...
'ForegroundColor',[0 0 0],'Position',[0.255 0.925 0.5 0.05],'Style','text', ...
'String',fcname,'FontSize',15);
elseif strcmp(action,'GT')
nVal=get(findobj(gcf,'Tag','popupGT'),'Value');%get generator type {Cont, Discr}
hndf=gcf;
%modify GUI
cla
set(findobj(hndf,'Tag','edtTitle'),'String',[])
set(findobj(hndf,'Tag','edtSelVar'),'String',[])
set(findobj(hndf,'Tag','edtInitCond'),'String',[])
set(findobj(hndf,'Tag','edtParamVal'),'String',[])
set(findobj(hndf,'Tag','edtTimeRange'),'String',[])
set(findobj(hndf,'Tag','txtVal'),'String',[])
set(findobj(hndf,'Tag','btnStart'),'Enable','off')
set(findobj(hndf,'Tag','btnStop'),'Enable','off')
set(findobj(hndf,'Tag','btnNewPlot'),'Enable','off')
set(findobj(hndf,'Tag','btnBrowse'),'Enable','on')
if nVal==1 %Cont
set(findobj(hndf,'Tag','txtSelVar'),'String','Select variables');
set(findobj(hndf,'Tag','txtTimeRange'),'String','Time range');
elseif nVal==2 %Discr
set(findobj(hndf,'Tag','txtSelVar'),'String','Plotting style');
set(findobj(hndf,'Tag','txtTimeRange'),'String','Iterations');
end
elseif strcmp(action,'Browse')
nVal=get(findobj(gcf,'Tag','popupGT'),'Value');%get generator type {Cont, Discr}
if nVal==1
d=dir('Cont');
elseif nVal==2
d=dir('Discr');
end
str = {d.name};
[Selection,ok] = listdlg('PromptString','Select a file:',...
'SelectionMode','single',...
'ListString',str(3:end));
if ok
s=cell2struct(str(2+Selection),{'str'},1);
fcname=s.str(1:end-2);
hndf=gcf;
set(findobj(hndf,'Tag','edtTitle'),'FontSize',10,'String',fcname)
%set default values
structData=AttInit(fcname);
vSelVar=structData.SelVar;
y0=structData.InitCond;
rParam=structData.ParamVal;
vTimeRange=structData.TimeRange;
if ~isempty(vSelVar) | ~isempty(y0) | ~isempty(rParam) | ~isempty(vTimeRange)
%display default values
cla
set(findobj(hndf,'Tag','edtSelVar'),'String',num2str(vSelVar,2));
set(findobj(hndf,'Tag','edtInitCond'),'String',num2str(y0,2));
set(findobj(hndf,'Tag','edtParamVal'),'String',num2str(rParam));
set(findobj(hndf,'Tag','edtTimeRange'),'String',num2str(vTimeRange,2));
set(findobj(hndf,'Tag','txtVal'),'String',[]);
end
%set buttons
set(findobj(hndf,'Tag','btnStart'), 'Enable', 'on');
set(findobj(hndf,'Tag','btnStop'), 'Enable', 'off');
set(findobj(hndf,'Tag','btnNewPlot'), 'Enable', 'off');
end
elseif strcmp(action,'Exit')
%clear global variables
clear global
%clear paths
rmpath([pwd '\Cont']);
rmpath([pwd '\Discr']);
rmpath([pwd '\Prvt']);
%close figure
close(gcf)
end
%---------------- subroutine -----------------
function srtAttractorGUI
%creates a GUI for attractors drawing
%Callback strings
cbstrStart='attractor(''Start'')';
cbstrStop='attractor(''Stop'')';
cbstrNewPlot='attractor(''NewPlot'')';
cbstrHelp='helpwin(''attractor'','''',''2D Attractor Help Window'')';
cbstrGT='attractor(''GT'')';
cbstrBrowse='attractor(''Browse'')';
cbstrExit='attractor(''Exit'')';
WinWidth=0.8; %Window width
WinHeight=0.78; %Window height
BtnWidth=0.12; %Button width
BtnHeight=0.05; %Button height
xPos=0.865; %X-position of buttons
h0 = figure('Units','normalized','Color',[1 1 1],'Name','2D Attractor','NumberTitle','off', ...
'Position',[0.1 0.1 WinWidth WinHeight],'MenuBar','none','ToolBar','none', ...
'Resize','off','Visible','off');
%Frame : left
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[0.513725 0.6 0.694118], ...
'Position',[0.85 0 0.15 1],'Style','frame');
%Frame : bottom
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[0.513725 0.6 0.694118], ...
'Position',[0 0 0.85 0.0676],'Style','frame');
%Button : start
uicontrol('Parent',h0,'Units','normalized','Position',[xPos 0.94 BtnWidth BtnHeight], ...
'String','Start','Tag','btnStart','Callback',cbstrStart,'Enable','on');
%Button : stop
uicontrol('Parent',h0,'Units','normalized','Position',[xPos 0.88 BtnWidth BtnHeight], ...
'String','Stop','Tag','btnStop','Callback',cbstrStop,'Enable','off');
%Button : new plot
uicontrol('Parent',h0,'Units','normalized','Position',[xPos 0.82 BtnWidth BtnHeight], ...
'String','New plot','Tag','btnNewPlot','Callback',cbstrNewPlot,'Enable','off');
%Text : select variables
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[0.513725 0.6 0.694118], ...
'Position',[xPos 0.68 BtnWidth BtnHeight],'String','Select variables','Style','text', ...
'Tag','txtSelVar');
%Edit : select variables
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[1 1 1], ...
'ForegroundColor',[0 0 1],'Position',[xPos 0.64 BtnWidth BtnHeight],'Style','edit', ...
'Tag','edtSelVar');
%Text : initial conditions
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[0.513725 0.6 0.694118], ...
'Position',[xPos 0.56 BtnWidth BtnHeight],'String','Initial cond.','Style','text');
%Edit : initial conditions
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[1 1 1], ...
'ForegroundColor',[0 0 1],'Position',[xPos 0.52 BtnWidth BtnHeight],'Style','edit', ...
'Tag','edtInitCond');
%Text : parameter value
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[0.513725 0.6 0.694118], ...
'Position',[xPos 0.44 BtnWidth BtnHeight],'String','Parameter value','Style','text');
%Edit : parameter value
edtInitTime = uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[1 1 1], ...
'ForegroundColor',[0 0 1],'Position',[xPos 0.4 BtnWidth BtnHeight],'Style','edit', ...
'Tag','edtParamVal');
%Text : time range
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[0.513725 0.6 0.694118], ...
'Position',[xPos 0.32 BtnWidth BtnHeight],'String','Time range','Style','text', ...
'Tag','txtTimeRange');
%Edit : time range
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[1 1 1], ...
'ForegroundColor',[0 0 1],'Position',[xPos 0.28 BtnWidth BtnHeight],'Style','edit', ...
'Tag','edtTimeRange');
%Button : help
uicontrol('Parent',h0,'Units','normalized','Position',[xPos 0.12 BtnWidth BtnHeight], ...
'String','Help','Tag','btnHelp','Callback',cbstrHelp,'Enable','on');
%Button : exit
uicontrol('Parent',h0,'Units','normalized','Position',[xPos 0.06 BtnWidth BtnHeight], ...
'String','Exit','Tag','btnExit','Callback',cbstrExit,'Enable','on');
%Axes
axes('Parent',h0,'Position',[0.07 0.15 0.75 0.75]);
box
%Popup : generator type
uicontrol('Parent',h0,'Units','normalized','Position',[0.14 0.912 0.16 0.05], ...
'BackgroundColor',[1 1 1],'ForegroundColor',[0 0 0],'Style','popup', ...
'String','Time continuous|Time discrete','Value',1,'Tag','popupGT','Callback',cbstrGT,'Enable','on');
%Edit : axes title
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[1 1 1], ...
'ForegroundColor',[0 0 0],'Position',[0.3 0.915 0.3 0.05],'Style','edit', ...
'Tag','edtTitle');
%Button : browse
uicontrol('Parent',h0,'Units','normalized','Position',[0.603 0.92 0.03 0.04], ...
'Style','pushbutton','String','...','Callback',cbstrBrowse, ...
'Tag', 'btnBrowse','Enable','on');
%Text : current values and time
uicontrol('Parent',h0,'Units','normalized','BackgroundColor',[1 1 1], ...
'ForegroundColor',[0 0 1],'Position',[0.0057 0.01 0.835 0.045],'Style','text', ...
'Tag','txtVal');
set(h0,'Visible','on');
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