In the theory of
dynamical system
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space, such as in a parametric curve. Examples include the mathematical models ...
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
Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to ...
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 are not caused deterministically.
It is the opposite of determinism and related to chance. It is highly relevant to the philosophical pr ...
*Nonlinear system
In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathem ...
*Chaos (disambiguation)
Chaos or CHAOS may refer to:
Science, technology, and astronomy
* ''Chaos: Making a New Science'', a 1987 book by James Gleick
* Chaos (company), a Bulgarian rendering and simulation software company
* Chaos (genus), ''Chaos'' (genus), a genus ...
References
Dynamical systems
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