Integrability of the Rucklidge system

DOI10.1007/s11071-014-1389-yzbMath1331.34050OpenAlexW2053283346MaRDI QIDQ2353868

Claudia Valls, Jaume Llibre, Maurício Firmino Silva Lima

Publication date: 9 July 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150684

zbMATH Keywords

Darboux polynomialsanalytic first integralsDarboux first integralsexponential factors

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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Cites Work

• Si'lnikov chaos and Hopf bifurcation analysis of Rucklidge system
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity
• Local first integrals of differential systems and diffeomorphisms
• On the Darboux integrability of polynomial differential systems
• Integrability of 3-dim polynomial systems with three invariant planes
• Qualitative theory of planar differential systems
• Chaos in models of double convection
• FIRST LYAPUNOV VALUE AND BIFURCATION BEHAVIOR OF SPECIFIC CLASS OF THREE-DIMENSIONAL SYSTEMS