Invariant imbedding and nonvariational principles in analytical dynamics
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An integration theory for the canonical equations of motion with parallels to the classical theory of Jacobi. The new approach is applicable to the general case where there is no variational principle underlying the equations of motion. 18 pp.
This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.
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Citation
Format:Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Invariant imbedding and nonvariational principles in analytical dynamics. Santa Monica, CA: RAND Corporation, 1965. https://www.rand.org/pubs/research_memoranda/RM4591.html. Also available in print form.
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Invariant imbedding and nonvariational principles in analytical dynamics, RAND Corporation, RM-4591-PR, 1965. As of November 11, 2022: https://www.rand.org/pubs/research_memoranda/RM4591.html