New insights to the Hide-Skeldon-Acheson dynamo

DOI10.3934/dcdsb.2021315OpenAlexW4205982496MaRDI QIDQ2081923

Ximing Li

Publication date: 30 September 2022

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.2021315

zbMATH Keywords

boundednessHopf bifurcationperiodic orbithidden attractor

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Attractors of solutions to ordinary differential equations (34D45)

Cites Work

• Hidden attractors in dynamical systems
• On a codimension-three bifurcation arising in a simple dynamo model
• Theory of hidden oscillations and stability of control systems
• Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE
• Integrability of the Hide-Skeldon-Acheson dynamo
• A study of two novel self-exciting single-disk homopolar dynamos: theory
• Scenario of the Birth of Hidden Attractors in the Chua Circuit
• Periodic Orbits in Slowly Varying Oscillators
• Hidden Attractors and Dynamical Behaviors in an Extended Rikitake System
• The Hide, Skeldon, Acheson dynamo revisited
• Detecting Hidden Chaotic Regions and Complex Dynamics in the Self-Exciting Homopolar Disc Dynamo

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