The action principle for dissipative systems

DOI10.1063/1.4903991zbMath1308.70032arXiv1412.5109OpenAlexW3106520679MaRDI QIDQ2939233

Cesar E. Krumreich, Matheus Jatkoske Lazo

Publication date: 19 January 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5109

Mathematics Subject Classification ID

Problems involving a system of particles with friction (70F40) Hamilton's principle (70H25)

Related Items (10)

When action is not least for systems with action-dependent Lagrangians ⋮ Müntz-Legendre neural network construction for solving delay optimal control problems of fractional order with equality and inequality constraints ⋮ Variational formulation for dissipative continua and an incremental J-integral ⋮ Fractional Noether's theorem with classical and Caputo derivatives: constants of motion for non-conservative systems ⋮ Noether symmetries for fractional generalized Birkhoffian systems in terms of classical and combined Caputo derivatives ⋮ An action principle for action-dependent Lagrangians: Toward an action principle to non-conservative systems ⋮ Noether theorem for action-dependent Lagrangian functions: conservation laws for non-conservative systems ⋮ Calculus of variations and optimal control for generalized functions ⋮ Noether-type theorem for fractional variational problems depending on fractional derivatives of functions ⋮ Lagrangian Formulation of Lorenz and Chen Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variational formulations of differential equations and asymmetric fractional embedding
• Fractional variational problems depending on indefinite integrals
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Variational methods in nonconservative phenomena
• Formulation of Euler-Lagrange equations for fractional variational problems
• Harmonic balance approach to periodic solutions of non-linear jerk equations
• Hamiltonian Formulation of Action-at-a-Distance in Electrodynamics
• Fractional variational calculus in terms of Riesz fractional derivatives
• Advances in Fractional Calculus
• Quantum Fields in Curved Space

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