JLabelを点滅させたいですが

public class BlingTest extends JFrame implements ActionListener{
	 public static JFrame jframe;
	 public static JPanel jpanel;
	 public static JButton jbutton;
	 public static JLabel jlabel, jlabel2;
	 public ButtonEventHandler buttonEventHandler;

	 /**
	 * @param args
	 */
	 public static void main(String[] args) {
		 boolean b = true;
		 BlingTest blingTest = new BlingTest();
		 blingTest.init();
		 /****　ここのソースきちんと作動できる　******/
		 for(int i=0; i<5; i++){
			 System.out.println(i);
			 if(b){
				 jlabel.setBackground(Color.red);
				 b = false;
			 }else{
				 jlabel.setBackground(Color.green);
				 b = true;
			 }
		 try{
			 Thread.sleep(500);
		 }catch(Exception e){}
		 }

	 }

	 public void init(){
		 jframe = new JFrame();
		 jpanel = new JPanel();
		 jbutton = new JButton("Click");
		 buttonEventHandler = new ButtonEventHandler(this);
		 jbutton.addActionListener(buttonEventHandler);
		 jlabel = new JLabel("111");
		 jlabel2 = new JLabel("222");
		 jlabel.setOpaque(true);
		 jlabel2.setOpaque(true);
		 jpanel.add(jlabel);
		 jpanel.add(jlabel2);
		 jpanel.add(jbutton);
	
	
		 jframe.getContentPane().add(jpanel);
		 jframe.pack();
		 jframe.setVisible(true);

	 }

	 public void method1() {
		 for(int i=0; i<10; i++){
			 int k = i;
			 n(k);
			 method4();
			 i = k + 1;
		 }
	 }
	 
	 public void method2(){
//	  do something
	 }
	 
	 public void method3(){
//	  do something
	 }
	 
	 public void method4(){
//	  do something
	 }
	 
	 public void n(int k){
		 //	 ....do something
		 //	  ここは点滅機能のメソッド
		 m(true);
		 //	 ....do something
	 }

	 public void m(boolean b){
		 for(int i=0; i<5; i++){
			 System.out.println(i);
			 if(b){
				 jlabel2.setBackground(Color.red);

				 jlabel2.update(jlabel2.getGraphics());
				 b = false;
			 }else{
				 jlabel2.setBackground(Color.green);
				 jlabel2.update(jlabel2.getGraphics());
				 b = true;
			 }
			 try{
				 Thread.sleep(500);
			 }catch(Exception e){}
		 }
	 }

	 public void actionPerformed(ActionEvent ae) {
		 //このメソッドの中で点滅メソッドをコール
		 method1();
		 System.out.println("The button is clicked, and the label is blinked.");
		 method2();
		 method3();
	} 
	 
}

 class ButtonEventHandler implements ActionListener{
	 BlingTest blingTest;
	 ButtonEventHandler(BlingTest blingTest){
		 this.blingTest = blingTest;
	 }

	 public void actionPerformed(ActionEvent ae) {
		 //このメソッドの中で点滅メソッドをコール
		 blingTest.method1();
		 System.out.println("The button is clicked, and the label is blinked.");
		 blingTest.method2();
		 blingTest.method3();
	} 
}