Noether's theory in classical nonconservative mechanics
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Publication:1226878
DOI10.1007/BF01177666zbMath0328.70013MaRDI QIDQ1226878
B. D. Vujanović, Djordje S. Djukic
Publication date: 1975
Published in: Acta Mechanica (Search for Journal in Brave)
Hamiltonian and Lagrangian mechanics (70H99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- A procedure for finding first integrals of mechanical systems with gauge- variant Lagrangians
- Conservation laws in classical mechanics for quasi-coordinates
- A new first integral corresponding to Lyapunov's function for a pendulum of variable length
- Noether equations and conservation laws
- A group-variational procedure for finding first integrals of dynamical systems
- Invariance and the n-body problem
- The range of application of the lagrange formalism — I
- A Variational Principle for Non-Conservative Dynamical Systems
- Some Remarks on Hamilton’s Principle
- Invariance and Conservation Laws in Classical Mechanics
- On the inversion of Noether’s theorem in the Lagrangian formalism
- On the inversion of Noether's theorem in the Lagrangian formalism
- New Approach to the Noether Theorems
- Hamilton's Principle and the Conservation Theorems of Mathematical Physics
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