One-parameter Lie groups and inverse integrating factors of \(n\)-th order autonomous systems
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Publication:662105
DOI10.1016/j.jmaa.2011.11.026zbMath1247.34052OpenAlexW2087751986WikidataQ115346136 ScholiaQ115346136MaRDI QIDQ662105
Publication date: 11 February 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.026
Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Related Items (4)
On traveling wave solutions of a class of KdV-Burgers-Kuramoto type equations ⋮ On the first integrals of \(n\)-th order autonomous systems ⋮ The inverse integrating factor for some classes of \(n\)-th order autonomous differential systems ⋮ First integrals and solutions for a class of third-order nonlinear autonomous differential equations
Cites Work
- Polynomial differential systems having a given Darbouxian first integral
- Techniques for searching first integrals by Lie group and application to gyroscope system
- Darboux integrability and the inverse integrating factor.
- On the shape of limit cycles that bifurcate from Hamiltonian centers
- On the integrability of quasihomogeneous systems and quasidegenerate infinity systems
- A method for obtaining first integrals and integrating factors of autonomous systems and application to Euler-Poisson equations
- On the nonexistence, existence and uniqueness of limit cycles
- ON THE INTEGRABILITY OF QUASIHOMOGENEOUS AND RELATED PLANAR VECTOR FIELDS
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