In the theory of
dynamical system
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in ...
s, amplitude death is complete cessation of
oscillation
Oscillation is the repetitive or periodic variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples of oscillation include a swinging pendulum ...
s. The system can be in a state of either
periodic motion or
chaotic motion before it goes to amplitude death. 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.
Amplitude death can appear also because of the delay in the coupling between the systems
["Experimental evidence of time-delay-induced death in coupled limit-cycle oscillators"]
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See also
*Indeterminism
Indeterminism is the idea that events (or certain events, or events of certain types) are not caused, or do not cause deterministically.
It is the opposite of determinism and related to chance. It is highly relevant to the philosophical prob ...
* Nonlinear system
* Chaos (disambiguation)
References
Dynamical systems
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