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		| Paper: | 
		Avoided Crossing and Synchronization | 
	 
	
		| Volume: | 
		479, Progress in Physics of the Sun and Stars | 
	 
	
		| Page: | 
		573 | 
	 
	
		| Authors: | 
		Sekii, T.; Shibahashi, H. | 
	 
	
	
		| Abstract: | 
		We examine avoided crossing of stellar pulsations in the nonlinear regime, where synchronization may occur, based on a simple model of weakly coupled van der Pol oscillators with close frequencies. For this simple case, avoided crossing is unaffected in the sense that there is a frequency difference between the symmetric and antisymmetric modes, but as a result of synchronization, unlike the linear oscillations case, the system can vibrate in only one of the modes. | 
	 
	
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