February 2023
Beginner
432 pages
12h 2m
English
Content preview from Introduction to Modeling and Simulation
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Appendix DProofs of Selected Results
D.1 Proof of Theorem 2.2
Suppose 
is a closed trajectory in 
. Then the inner product 
, where 
is the vector field defining (2.27) and 
is the outward normal to 
. Consequently, the line integral around the closed orbit satisfies 
. Therefore, by Green's theorem we have
where 
is the region enclosed by 
. Therefore, either 
is identically zero in , or it changes ...
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