Bifurcation analysis and integrability in the segmented disc dynamo with mechanical friction
From MaRDI portal
Publication:1712433
DOI10.1186/s13662-018-1659-yzbMath1446.70044OpenAlexW2808846169WikidataQ129577780 ScholiaQ129577780MaRDI QIDQ1712433
Junze Li, Yebei Liu, Zhouchao Wei, Irene M. Moroz
Publication date: 22 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1659-y
Bifurcations and instability for nonlinear problems in mechanics (70K50) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
Related Items (6)
On integrability of the segmented disc dynamo: the effect of mechanical friction ⋮ On first integrals of a family of generalized Lorenz-like systems ⋮ Jacobi stability analysis and impulsive control of a 5D self-exciting homopolar disc dynamo ⋮ Multistability and bifurcations in a 5D segmented disc dynamo with a curve of equilibria ⋮ Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk ⋮ Differential Galois integrability obstructions for nonlinear three-dimensional differential systems
Cites Work
- Unnamed Item
- Darboux integrability of a nonlinear financial system
- Hidden attractors in dynamical systems
- Multiplicity of invariant algebraic curves in polynomial vector fields
- Elements of applied bifurcation theory.
- Polynomial first integrals of the Lotka-Volterra system
- A family of non-Darboux-integrable quadratic polynomial differential systems with algebraic solutions of arbitrarily high degree
- Darboux integrability of the Lü system
- Darboux integrability and algebraic limit cycles for a class of polynomial differential systems
- Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
- Darboux integrability of the stretch-twist-fold flow
- Multistability in the Lorenz System: A Broken Butterfly
- Crisis in Amplitude Control Hides in Multistability
- Dynamics at Infinity, Degenerate Hopf and Zero-Hopf Bifurcation for Kingni–Jafari System with Hidden Attractors
- A self-consistent treatment of simple dynamo systems
- Chaotic behaviour of the Rikitake dynamo with symmetric mechanical friction and azimuthal currents
- Darboux integrability for 3D Lotka-Volterra systems
- Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo
- On the Darboux integrability of a three–dimensional forced–damped differential system
- Detecting Hidden Chaotic Regions and Complex Dynamics in the Self-Exciting Homopolar Disc Dynamo
- Invariant algebraic curves and rational first integrals for planar polynomial vector fields
This page was built for publication: Bifurcation analysis and integrability in the segmented disc dynamo with mechanical friction
