Generalization of approximate partial Noether approach in phase space
DOI10.1007/s11071-016-3273-4zbMath1373.70016OpenAlexW2566538987MaRDI QIDQ1676864
Publication date: 10 November 2017
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-016-3273-4
approximate first integralsapproximate partial Hamiltonianapproximate partial Lagrangianapproximate partial Noether theoremperturbed cubically coupled Duffing-van der Pol oscillators
Symmetries, invariants of ordinary differential equations (34C14) General perturbation schemes for nonlinear problems in mechanics (70K60) Perturbations of ordinary differential equations (34D10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- A partial Lagrangian method for dynamical systems
- Perturbation to symmetry and adiabatic invariants of discrete nonholonomic nonconservative mechanical system
- Approximate partial Noether operators and first integrals for cubically coupled nonlinear Duffing oscillators subject to a periodically driven force
- Approximate conservation laws of perturbed partial differential equations
- Approximate first integrals for a system of two coupled van der Pol oscillators with linear diffusive coupling
- Group theoretic methods for approximate invariants and Lagrangians for some classes of \(y^{\prime\prime} + F(t)y^{\prime}+y=f(y,y^{\prime})\)
- Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter
- Invariance and first integrals of continuous and discrete Hamiltonian equations
- Approximate partial Noether operators and first integrals for coupled nonlinear oscillators
- Perturbation methods in group analysis
- Resonance behaviour and jump phenomenon in a two coupled Duffing-van der Pol oscillators
- Approximate first integrals of a galaxy model
- Comparison of different approaches to construct first integrals for ordinary differential equations
- Approximate symmetries and conservation laws with applications
- Approximate Noether symmetries
- Closed-form solutions for the Lucas-Uzawa model of economic growth via the partial Hamiltonian approach
- A partial Hamiltonian approach for current value Hamiltonian systems
- Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
- Noether-type symmetries and conservation laws via partial Lagrangians
- APPROXIMATE SYMMETRIES
- Closed orbits and their stable symmetries
- Partial Noether operators and first integrals via partial Lagrangians
- Approximate generalized symmetries, normal forms and approximate first integrals
- Variational formulation of approximate symmetries and conservation laws
- Approximate first integrals of weakly nonlinear, damped-driven oscillators with one degree of freedom
This page was built for publication: Generalization of approximate partial Noether approach in phase space
