In the theory of dynamical systems, amplitude death refers to a complete stop of oscillations as a result of coupling interactions. The phenomenon can arise from systems either in periodic motion or chaotic motion before it goes to amplitude death.[1] Understanding the complex behavior of oscillators is important for applications in pendulums, fluid, ecological, and population dynamics.
A dynamical system can go to amplitude death because of change in intrinsic parameters of the system or its interaction with other systems or its environment.[2][3] Amplitude death can appear also because of the delay in the coupling between the systems[4][5]
See also
References
- ^ Renato E. Mirollo, Steven H. Strogatz: "Amplitude death in an array of limit-cycle oscillators" [1]
- ^ V. Resmi, G. Ambika, R. E. Amritkar: "General mechanism for amplitude death in coupled systems" [2]
- ^ V. Resmi, G. Ambika, R.E. Amritkar, G. Rangarajan: "Amplitude death in complex networks induced by environment"[3]
- ^ Ramana Reddy, Sen A., Johnston, G. L.: "Time delay induced death in coupled limit cycle oscillators"[4]
- ^ "Experimental evidence of time-delay-induced death in coupled limit-cycle oscillators": [5]
