Implicit variational principle for contact Hamiltonian systems
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Publication:2965344
DOI10.1088/1361-6544/30/2/492zbMath1364.37139OpenAlexW2563565370MaRDI QIDQ2965344
Kaizhi Wang, Jun Yan, Lin Wang
Publication date: 2 March 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/30/2/492
minimizing curveimplicit variational principlecontact Hamiltonian systemassociated Lagragianimplicit action function
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weak KAM theory for Hamilton-Jacobi equations depending on unknown functions
- Convergence of the solutions of the discounted equation: the discrete case
- Action minimizing invariant measures for positive definite Lagrangian systems
- Variational construction of connecting orbits
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