Integrability, localisation and bifurcation of an elastic conducting rod in a magnetic field
The 7th Workshop on Dynamical Systems & Ergodic Theory in Northern Germany: Noncanonical Hamiltonian system
Integrability, localisation and bifurcation of an elastic conducting rod in a uniform magnetic field
Hanseatic Dynamical Systems Days 7 | University of Hamburg | 9 June 2023
The buckling of magneto-strictive Cosserat rods
Magneto-striction destroys integrability and leads to spatially chaotic and pulse-pulsed homoclinic solutions
Localisation of a twisted conducting rod in a uniform magnetic field: the Hamiltonian-Hopf-Hopf bifurcation
Using quaternions, the ten-dimensional equilibrium equations have a periodic solution but can undergo a co-dimension two Hamiltonian-Hopf-Hopf bifurctaion
Gert van der Heijden
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1 min read
Spatial chaos of an extensible conducting rod in a uniform magnetic field
Extensibility destroy integrability for a conducting rod in a uniform magnetic field
Integrability, Localisation and Bifurcation of an Elastic Conducting Rod in a Uniform Magnetic Field
A conducting rod in uniform magnetic field is super integrable, but extensibility can break the integrability and lead to spatially complex localisation.
Integrability of a conducting elastic rod in a magnetic field
A conducting rod in uniform magnetic field is super integrable