Amplitude death

In the theory of dynamical systems, amplitude death is complete cessation of oscillations. The system can be in a state of either periodic motion or chaotic motion before it goes to amplitude death.^[1] 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]

[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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[1] [1]
Renato E. Mirollo, Steven H. Strogatz: "Amplitude death in an array of limit-cycle oscillators"

[2] [2]
V. Resmi, G. Ambika, R. E. Amritkar: "General mechanism for amplitude death in coupled systems"

[3] [3]
V. Resmi, G. Ambika, R.E. Amritkar, G. Rangarajan: "Amplitude death in complex networks induced by environment"

[4] [4]
Ramana Reddy, Sen A., Johnston, G. L.: "Time delay induced death in coupled limit cycle oscillators"

[5] [5]
"Experimental evidence of time-delay-induced death in coupled limit-cycle oscillators":

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[2]

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[5]

Amplitude death

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Amplitude death

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References