Analytical criterion for amplitude death in nonautonomous systems with piecewise nonlinear coupling.
We investigate the amplitude death phenomenon in a nonautonomous chained network with complicated piecewise nonlinear coupling functions. An analytical criterion for the boundary of the amplitude death region is derived by using the average method. The mechanism of the amplitude death in the nonautonomous networks is very different from that of autonomous systems and rapid dynamic transitions could halt the amplitude death. Numerical verifications are carried out to check jump transitions among different solution branches and further confirm the correctness of the theoretical results.
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, People's Republic of China.
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Xu
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, People's Republic of China.
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Zhang
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, People's Republic of China.
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Lu
China Ship Scientific Research Center, Wuxi, 214082, People's Republic of China.
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ER
Qi
China Ship Scientific Research Center, Wuxi, 214082, People's Republic of China.
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Tian
China Ship Scientific Research Center, Wuxi, 214082, People's Republic of China.
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Wu