Symmetries and first integrals of differential equations

DOI10.1007/s10440-008-9226-2zbMath1153.34024OpenAlexW2063211208MaRDI QIDQ944907

Yong Li, Jin Zhang

Publication date: 10 September 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9226-2

zbMATH Keywords

IntegrabilityLorenz systemSymmetryFirst integral

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (2)

Unnamed Item ⋮ On the connections between symmetries and conservation rules of dynamical systems

Cites Work

• Variational \(C^{\infty}\)-symmetries and Euler--Lagrange equations
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Algebraic integrability and generalized symmetries of dynamical systems
• New methods of reduction for ordinary differential equations
• C -symmetries and non-solvable symmetry algebras
• Deterministic Nonperiodic Flow
• Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
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