Complex dynamics in the segmented disc dynamo

DOI10.3934/dcdsb.2016098zbMath1375.37138OpenAlexW2550924588MaRDI QIDQ727907

Jianghong Bao

Publication date: 21 December 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016098

zbMATH Keywords

Hopf bifurcationDarboux integrabilityexponential factordisc dynamo

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (1)

On integrability of the segmented disc dynamo: the effect of mechanical friction

Cites Work

• Darboux integrability of a nonlinear financial system
• Impulsive state feedback control of a predator-prey model
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Numerical Hopf bifurcation analysis in nonlinear ordinary and partial differential systems from chemical reactor theory
• Elements of applied bifurcation theory.
• Dynamical behaviors of a chaotic system with no equilibria
• Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
• An unusual chaotic system and its control
• A self-consistent treatment of simple dynamo systems

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