On the first integrals of \(n\)-th order autonomous systems
From MaRDI portal
Publication:1684813
DOI10.1016/j.jmaa.2017.11.016zbMath1444.34003OpenAlexW2768595090MaRDI QIDQ1684813
Publication date: 12 December 2017
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.2017.11.016
Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items (2)
Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application ⋮ First integrals and solutions for a class of third-order nonlinear autonomous differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on the first integrals of vector fields with integrating factors and normalizers
- The inverse integrating factor for some classes of \(n\)-th order autonomous differential systems
- Generalized rational first integrals of analytic differential systems
- Lie point symmetries, partial Noether operators and first integrals of the Painlevé-Gambier equations
- One-parameter Lie groups and inverse integrating factors of \(n\)-th order autonomous systems
- On the first integral and equivalence of nonlinear differential equations
- A note on Liouvillian first integrals and invariant algebraic curves
- Techniques for searching first integrals by Lie group and application to gyroscope system
- On the complete and partial integrability of non-Hamiltonian systems
- Symmetry and integration methods for differential equations
- Formal first integrals for periodic systems
- Local analytic first integrals of planar analytic differential systems
- On the nonexistence of rational first integrals for nonlinear systems and semiquasihomogeneous systems
- Polynomial first integrals for quasi-homogeneous polynomial differential systems
- Liouvillian integrability of polynomial differential systems
- An integrating factor matrix method to find first integrals
- The first-integral method to study the Burgers–Korteweg–de Vries equation
- Integrals of nonlinear equations of evolution and solitary waves
- Symmetries and differential equations
This page was built for publication: On the first integrals of \(n\)-th order autonomous systems