Amplitude death

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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

  1. ↑ Renato E. Mirollo, Steven H. Strogatz: "Amplitude death in an array of limit-cycle oscillators"
  2. ↑ V. Resmi, G. Ambika, R. E. Amritkar: "General mechanism for amplitude death in coupled systems"
  3. ↑ V. Resmi, G. Ambika, R.E. Amritkar, G. Rangarajan: "Amplitude death in complex networks induced by environment"
  4. ↑ Ramana Reddy, Sen A., Johnston, G. L.: "Time delay induced death in coupled limit cycle oscillators"
  5. ↑ "Experimental evidence of time-delay-induced death in coupled limit-cycle oscillators":


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