The characteristic function method of finding first integrals of ODEs

DOI10.1016/S0960-0779(02)00658-6zbMath1069.34069MaRDI QIDQ1433760

Jinzhi Lei, Tianshou Zhou

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (2)

The chaotic region of Lorenz-type system in the parametric space ⋮ On some open problems in planar differential systems and Hilbert's 16th problem

Cites Work

• Unnamed Item
• Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system
• Dynamics retrospective: Great problems, attempts that failed
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Differential relations of theta functions
• About algebraic integrability and non-integrability of ordinary differential equations
• On the existence of polynomial first integrals of quadratic homogeneous systems of ordinary differential equations
• Period Three Implies Chaos
• The Lorenz attractor exists
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• THE COMPOUND STRUCTURE OF CHEN'S ATTRACTOR
• Axiom 𝐴+𝑁𝑂 cycles⇒𝜁_{𝑓}(𝑡) rational
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• Vector fields, invariant varieties and linear systems.

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