Chaotic Numerics.
Much of what is known about specific dynamical systems is obtained from numerical experiments. Although the discretization process usually has no significant effect on the results for simple, well-behaved dynamics, acute sensitivity to changes in initial conditions is a hallmark of chaotic behavior....
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| Format: | Electronic |
| Language: | English |
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Providence :
American Mathematical Society,
1994.
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| Series: | Contemporary Mathematics Ser.
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| Online Access: | Click for online access |
| Summary: | Much of what is known about specific dynamical systems is obtained from numerical experiments. Although the discretization process usually has no significant effect on the results for simple, well-behaved dynamics, acute sensitivity to changes in initial conditions is a hallmark of chaotic behavior. How confident can one be that the numerical dynamics reflects that of the original system? Do numerically calculated trajectories always shadow a true one? What role does numerical analysis play in the study of dynamical systems? And conversely, can advances in dynamical systems provide new insight. |
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| Physical Description: | 1 online resource (290 pages) |
| ISBN: | 9780821877630 0821877631 |