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Hamilton and the Law of Varying Action Revisited

✍ Scribed by C. D. Bailey

Book ID
111582502
Publisher
Springer US
Year
2004
Tongue
English
Weight
122 KB
Volume
34
Category
Article
ISSN
0015-9018

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πŸ“œ SIMILAR VOLUMES

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This paper presents a model based on Hamilton's law of varying action for stochastic dynamic systems. In this model, the state variables are approximated as a linear sum of orthogonal polynomials. For deterministic systems, the coefficients of the polynomials are constant, but for stochastic systems

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Without consideration of force equilibrium and differential equations of motion, a general derivation of algebraic equations for dynamic systems is presented. This is achieved by an assumed-time-modes approach in conjunction with a direct application of Hamilton's law of varying action. By assumed-t