Conserved quantities for Hamiltonian systems on time scales
From MaRDI portal
Publication:1740028
DOI10.1016/j.amc.2017.05.074zbMath1426.70023OpenAlexW2621819430MaRDI QIDQ1740028
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.05.074
Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)
Related Items
Lie symmetry and invariants for a generalized Birkhoffian system on time scales ⋮ Integral transform approach to mimetic discrete calculus ⋮ Fractional time-scales Noether theorem with Caputo \(\Delta\) derivatives for Hamiltonian systems ⋮ Perturbation to Lie symmetry and adiabatic invariants for Birkhoffian systems on time scales ⋮ Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales ⋮ Parameter identification of conservative Hamiltonian systems using first integrals ⋮ Noether's theorems for nonshifted dynamic systems on time scales ⋮ Hamilton-Jacobi method for mechanical systems on time scales ⋮ Caputo \(\Delta\)-type fractional time-scales Noether theorem of Birkhoffian systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Noether symmetries and conserved quantities for fractional Birkhoffian systems
- Noether theorem and its inverse for nonlinear dynamical systems with nonstandard Lagrangians
- Non-linear dynamics with non-standard Lagrangians
- Calculus of variations on time scales with nabla derivatives
- Non-standard non-local-in-time Lagrangians in classical mechanics
- Non-standard Lagrangians in rotational dynamics and the modified Navier-Stokes equation
- Noether's symmetry theorem for nabla problems of the calculus of variations
- Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems
- General conditions for the existence of non-standard Lagrangians for dissipative dynamical systems
- Generalized variational calculus in terms of multi-parameters fractional derivatives
- Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
- The Hamilton formalism with fractional derivatives
- Fractional Hamiltonian formalism within Caputo's derivative
- Generalizations of the Klein-Gordon and the Dirac equations from non-standard Lagrangians
- Non-standard Lagrangians with higher-order derivatives and the Hamiltonian formalism
- A formulation of Noether's theorem for fractional problems of the calculus of variations
- Noether's theory in classical nonconservative mechanics
- The Noether's theory of Birkhoffian systems
- Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints.
- Noether's theory for mechanical systems with unilateral constraints
- On Green's functions and positive solutions for boundary value problems on time scales
- Formulation of Euler-Lagrange equations for fractional variational problems
- The second Noether theorem on time scales
- Noether symmetries and conserved quantities for Birkhoffian systems with time delay
- Perturbation to Noether symmetries and adiabatic invariants for disturbed Hamiltonian systems based on El-Nabulsi nonconservative dynamics model
- Fractional Birkhoffian mechanics
- Noether's theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space
- Symmetries and conserved quantities for fractional action-like Pfaffian variational problems
- Non-standard fractional Lagrangians
- An application of time scales to economics
- Noether's theorem on time scales
- Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent
- Conserved quantities and adiabatic invariants for El-Nabulsi's fractional Birkhoff system
- Noether theorem for Birkhoffian systems on time scales
- Higher-Order Calculus of Variations on Time Scales
- A direct approach to the construction of standard and non-standard Lagrangians for dissipative-like dynamical systems with variable coefficients
- Generalized Hamilton's principle with fractional derivatives
- Natural boundary conditions in the calculus of variations
- Dynamics symmetries of Hamiltonian system on time scales
- Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
- Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients
- Fractional variational calculus and the transversality conditions
- Fractional actionlike variational problems
