First integrals for two linearly coupled nonlinear Duffing oscillators
From MaRDI portal
Publication:624756
DOI10.1155/2011/831647zbMath1210.34055OpenAlexW2022963476WikidataQ58693567 ScholiaQ58693567MaRDI QIDQ624756
Publication date: 9 February 2011
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/223116
Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) 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
Symmetry analysis, integrability and completeness of geodesics of a double of the affine Lie group of the real line ⋮ Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling ⋮ Comparison of different approaches to construct first integrals for ordinary differential equations ⋮ Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms
Cites Work
- Unnamed Item
- Unnamed Item
- Transitions from strongly to weakly-nonlinear dynamics in a class of exactly solvable oscillators and nonlinear beat phenomena
- Linearization criteria for a system of second-order ordinary differential equations
- On approximations of first integrals for a strongly nonlinear forced oscillator
- Classification of Noether symmetries for Lagrangians with three degrees of freedom
- Noether-type symmetries and conservation laws via partial Lagrangians
- Noether, partial Noether operators and first integrals for a linear system
- Symmetry properties of autonomous integrating factors
- Canonical forms for systems of two second-order ordinary differential equations
- A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
- Lie point symmetries for systems of second order linear ordinary differential equations
- Invariant variation problems
- A Perturbation Method Based on Integrating Vectors and Multiple Scales
- Bounded parametric control of random vibrations
- Partial Noether operators and first integrals via partial Lagrangians
- Solution of the Inverse Problem of the Calculus of Variations
