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| | Encyclopedia of Nonlinear Science |
 | | In simple terms, nonlinear science recognizes that the "whole is more than a sum of its parts," providing a context for consideration of phenomena like tsunamis (tidal waves), biological evolution, atmospheric dynamics, and the electrochemical activity of a human brain, among many others. |
 | | For a research scientist, nonlinear science offers novel phenomena, including the emergence of coherent structures (an optical soliton, for example, or a nerve impulse) and chaos (characterized by the difficulties in making accurate predictions for surprisingly simple systems over extended periods of time). |
 | | Interestingly, it is sometimes possible to compute the velocity of emergent entities (their speeds and shapes) from initial conditions and express them as tabulated functions (theta functions or elliptic functions), thereby extending the analytic reach of nonlinear analysis. |
| www.routledge-ny.com /nonlinearsci/introduction.html (3049 words) |
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