function varargout = bifurcation(varargin) % bifurcation M-file for bifurcation.fig % bifurcation, by itself, creates a new bifurcation or raises the existing % singleton*. % % H = bifurcation returns the handle to a new bifurcation or the handle to % the existing singleton*. % % bifurcation('CALLBACK',hObject,eventData,handles,...) calls the local % function named CALLBACK in bifurcation.M with the given input arguments. % % bifurcation('Property','Value',...) creates a new bifurcation or raises the % existing singleton*. Starting from the left, property value pairs are % applied to the GUI before bifurcation_OpeningFcn gets called. An % unrecognized property name or invalid value makes property application % stop. All inputs are passed to bifurcation_OpeningFcn via varargin. % % *See GUI Options on GUIDE's Tools menu. Choose "GUI allows only one % instance to run (singleton)". % % See also: GUIDE, GUIDATA, GUIHANDLES % Edit the above text to modify the response to help bifurcation % Last Modified by GUIDE v2.5 03-Dec-2010 01:21:59 % Begin initialization code - DO NOT EDIT gui_Singleton = 1; gui_State = struct('gui_Name', mfilename, ... 'gui_Singleton', gui_Singleton, ... 'gui_OpeningFcn', @bifurcation_OpeningFcn, ... 'gui_OutputFcn', @bifurcation_OutputFcn, ... 'gui_LayoutFcn', [] , ... 'gui_Callback', []); if nargin && ischar(varargin{1}) gui_State.gui_Callback = str2func(varargin{1}); end if nargout [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:}); else gui_mainfcn(gui_State, varargin{:}); end % End initialization code - DO NOT EDIT % --- Executes just before bifurcation is made visible. function bifurcation_OpeningFcn(hObject, eventdata, handles, varargin) % This function has no output args, see OutputFcn. % hObject handle to figure % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % varargin command line arguments to bifurcation (see VARARGIN) % Choose default command line output for bifurcation handles.output = hObject; handles.parain = 0; handles.parastep = 0.04; handles.parafin = 4; handles.invalue = 0.5; handles.nopoints = 100; % Update handles structure guidata(hObject, handles); % UIWAIT makes bifurcation wait for user response (see UIRESUME) % uiwait(handles.figure1); % --- Outputs from this function are returned to the command line. function varargout = bifurcation_OutputFcn(hObject, eventdata, handles) % varargout cell array for returning output args (see VARARGOUT); % hObject handle to figure % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Get default command line output from handles structure varargout{1} = handles.output; % --- Executes on button press in pushbutton1. function pushbutton1_Callback(hObject, eventdata, handles) set(hObject,'string','Wait'); %axis([handles.parain handles.parafin -0.25 1]) %looping x(:,1) = 1:1:100; %figure('Name','Bifurication Plot Window','NumberTitle','off') hold on for A = handles.parain:handles.parastep:handles.parafin %initial value of x should be less then 1 num = handles.invalue; for i=1:100 num = A*num*(1-num); end x(1,1) = num; for i=2:handles.nopoints x(i,1)= A*x(i-1)*(1-x(i-1)); end plot(A,x,'Marker','.','MarkerSize',4,'MarkerFaceColor','blue'); drawnow end hold off set(hObject,'string','Start'); % hObject handle to pushbutton1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) function edit1_Callback(hObject, eventdata, handles) handles.parain = str2num(get(hObject,'string')) guidata(hObject, handles); % hObject handle to edit1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Hints: get(hObject,'String') returns contents of edit1 as text % str2double(get(hObject,'String')) returns contents of edit1 as a double % --- Executes during object creation, after setting all properties. function edit1_CreateFcn(hObject, eventdata, handles) % hObject handle to edit1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles empty - handles not created until after all CreateFcns called % Hint: edit controls usually have a white background on Windows. % See ISPC and COMPUTER. if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end function edit2_Callback(hObject, eventdata, handles) handles.parafin = str2num(get(hObject,'string')) guidata(hObject, handles); % hObject handle to edit2 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Hints: get(hObject,'String') returns contents of edit2 as text % str2double(get(hObject,'String')) returns contents of edit2 as a double % --- Executes during object creation, after setting all properties. function edit2_CreateFcn(hObject, eventdata, handles) % hObject handle to edit2 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles empty - handles not created until after all CreateFcns called % Hint: edit controls usually have a white background on Windows. % See ISPC and COMPUTER. if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end function edit3_Callback(hObject, eventdata, handles) handles.parastep = str2num(get(hObject,'string')) guidata(hObject, handles); % hObject handle to edit3 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Hints: get(hObject,'String') returns contents of edit3 as text % str2double(get(hObject,'String')) returns contents of edit3 as a double % --- Executes during object creation, after setting all properties. function edit3_CreateFcn(hObject, eventdata, handles) % hObject handle to edit3 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles empty - handles not created until after all CreateFcns called % Hint: edit controls usually have a white background on Windows. % See ISPC and COMPUTER. if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end function edit4_Callback(hObject, eventdata, handles) handles.nopoints = str2num(get(hObject,'string')) guidata(hObject, handles); % hObject handle to edit4 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Hints: get(hObject,'String') returns contents of edit4 as text % str2double(get(hObject,'String')) returns contents of edit4 as a double % --- Executes during object creation, after setting all properties. function edit4_CreateFcn(hObject, eventdata, handles) % hObject handle to edit4 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles empty - handles not created until after all CreateFcns called % Hint: edit controls usually have a white background on Windows. % See ISPC and COMPUTER. if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end function edit5_Callback(hObject, eventdata, handles) handles.invalue = str2num(get(hObject,'string')) guidata(hObject, handles); % hObject handle to edit5 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Hints: get(hObject,'String') returns contents of edit5 as text % str2double(get(hObject,'String')) returns contents of edit5 as a double % --- Executes during object creation, after setting all properties. function edit5_CreateFcn(hObject, eventdata, handles) % hObject handle to edit5 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles empty - handles not created until after all CreateFcns called % Hint: edit controls usually have a white background on Windows. % See ISPC and COMPUTER. if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor')) set(hObject,'BackgroundColor','white'); end % --- Executes during object creation, after setting all properties. function axes1_CreateFcn(hObject, eventdata, handles) axis([0 4 -0.25 1]) % hObject handle to axes1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles empty - handles not created until after all CreateFcns called % Hint: place code in OpeningFcn to populate axes1 % -------------------------------------------------------------------- function Untitled_1_Callback(hObject, eventdata, handles) % hObject handle to Untitled_1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA)