Analysis of lienard II-type oscillator equation by symmetry-transformation methods
DOI10.1186/s13662-016-0966-4zbMath1419.34122OpenAlexW2531340430WikidataQ59459754 ScholiaQ59459754MaRDI QIDQ1628100
Publication date: 3 December 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-016-0966-4
dynamical systemsSundman transformationfirst integrals\(\lambda\)-symmetriesintegrating factorsPrelle-Singer procedureLagrangian and Hamiltonian description
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Symmetry group classification for two-dimensional elastodynamics problems in nonlocal elasticity
- Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X=0\)
- Geometric proof of Lie's linearization theorem
- The group-theoretical analysis of nonlocal Benney equation
- Elementary First Integrals of Differential Equations
- Nonlocal transformations and linearization of second-order ordinary differential equations
- A unification in the theory of linearization of second-order nonlinear ordinary differential equations
- Solving second-order ordinary differential equations by extending the Prelle-Singer method
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Linearization under nonpoint transformations
- Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0
- On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations
- Linearization properties, first integrals, nonlocal transformation for heat transfer equation
- Second-Order Ordinary Differential Equations and First Integrals of The Form A(t, x) ẋ + B(t, x)
- Symmetries and differential equations
This page was built for publication: Analysis of lienard II-type oscillator equation by symmetry-transformation methods
