Non-standard Lagrangians with higher-order derivatives and the Hamiltonian formalism

DOI10.1007/s40010-014-0192-yzbMath1325.37055OpenAlexW2085074464MaRDI QIDQ893490

Ahmad Rami El-Nabulsi

Publication date: 19 November 2015

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-014-0192-y

zbMATH Keywords

Hamiltonian formalismhigher-order derivativesnon-standard Lagrangians

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Dynamical systems in classical and celestial mechanics (37N05) Other variational principles in mechanics (70H30) Lagrange's equations (70H03)

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Gravitational Field as a Pressure Force from Logarithmic Lagrangians and Non-Standard Hamiltonians: The Case of Stellar Halo of Milky Way ⋮ Acceleration in quantum mechanics and electric charge quantization ⋮ From classical to discrete gravity through exponential non-standard Lagrangians in general relativity ⋮ Conservation laws for systems of non-standard Birkhoffians with fractional derivatives ⋮ Noether's theorems for dynamical systems of two kinds of non-standard Hamiltonians ⋮ Conserved quantities for Hamiltonian systems on time scales

Cites Work

• Unnamed Item
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• Non-linear dynamics with non-standard Lagrangians
• Non-standard non-local-in-time Lagrangians in classical mechanics
• General conditions for the existence of non-standard Lagrangians for dissipative dynamical systems
• Generalizations of the Klein-Gordon and the Dirac equations from non-standard Lagrangians
• The Lagrangian-Hamiltonian formalism for higher-order field theories
• Ostrogradski's theorem for higher-order singular Lagrangians
• Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria
• Non-standard fractional Lagrangians
• Higher-order mechanics: variational principles and other topics
• Closed characteristics on singular energy levels of second-order Lagrangian systems
• Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent
• ON HIGHER DERIVATIVES AS CONSTRAINTS IN FIELD THEORY: A GEOMETRIC PERSPECTIVE
• Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability
• A simple and unified approach to identify integrable nonlinear oscillators and systems
• On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces
• Higher-order Hamiltonian formalism in field theory
• Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints
• Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients
• Higher-order mechanical systems with constraints
• Classical Mechanics
• Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems

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