Transactions of Nanjing University of Aeronautics & Astronautics
Recent Advances on Herglotz’s Generalized Variational Principle of Nonconservative Dynamics
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Abstract:
This paper summarized the recent development on Herglotz’s generalized variational principle and its symmetries and conserved quantities for nonconservative dynamical systems. Taking Lagrangian mechanics, Hamiltonian mechanics and Birkhoffian mechanics as three research frames, we introduce Herglotz’s generalized variational principle, dynamical equations of Herglotz type, Noether symmetry and conserved quantities, and their generalization to time-delay dynamics, fractional dynamics and time-scale dynamics, and put forward some problems as suggestions for future research.
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O316
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