Conservation laws for invariant functionals containing compositions§
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Publication:5441014
DOI10.1080/00036810701584583zbMath1190.49027arXiv0704.0949OpenAlexW3099425375WikidataQ57651241 ScholiaQ57651241MaRDI QIDQ5441014
Delfim F. M. Torres, Gastão S. F. Frederico
Publication date: 7 February 2008
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.0949
variational calculussymmetriesNoether's theoremDuBois-Reymond conditionfunctional containing compositions
Existence theories for free problems in one independent variable (49J05) Optimality conditions for free problems in one independent variable (49K05)
Related Items (8)
Fractional Noether's theorem with classical and Caputo derivatives: constants of motion for non-conservative systems ⋮ Constants of motion for isoperimetric variational problems with time delay ⋮ Fractional Noether's theorem in the Riesz-Caputo sense ⋮ Calculus of variations and optimal control with generalized derivative ⋮ The fractional Boltzmann transport equation ⋮ Fractional variational problems from extended exponentially fractional integral ⋮ Calculus of variations and optimal control for generalized functions ⋮ Noether-type theorem for fractional variational problems depending on fractional derivatives of functions
Cites Work
- Symmetry and optimal control in economics.
- Non-Noether symmetries and conserved quantities of nonconservative dynamical systems
- A minimum principle for chaotic dynamical systems
- Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations
- Calculus of variations for functionals containing compositions
- On the Noether theorem for optimal control
- Noether's theory for non-conservative generalised mechanical systems
- Controlled invariance for nonlinear systems
- DERIVING CHAOTIC DYNAMICAL SYSTEMS FROM ENERGY FUNCTIONALS
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