Encyclopedia > Nonlinearity

  Article Content

Nonlinearity

A nonlinear system is one that cannot be described by a system of linear equations.

The solutions of linear equations can in general be described as a superposition of other solutions of the same equation. This makes linear equations particularly easy to solve and reason about.

Nonlinear systems are more complex, and much harder to understand because of their lack of simple superposed solutions. In nonlinear system the solutions to the equations do not form a vector space and cannot be superposed (added together) to produce new solutions. This makes solving the equations much harder than in linear systems.

The necessary mathematical techniques only started to be developed in the 20th century.

Examples of nonlinear systems:

This is a stub article: please expand this article.

To do:

See also:

External links



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Sakhalin

... and Arctic Oceans was broader than it is now. Only two rivers are worthy of mention. The Tym, 250 m. long and navigable by rafts and light boats for 50 m., flows north ...

 
 
 
This page was created in 67.3 ms