5 citations · 7 across the 6 of their papers we have counts for
6 papers
Numerical tests of formulae for volume enclosed by flux surfaces of integrable magnetic fields
David Martinez-del-Rio, Robert S. MacKay
Numerical tests of volume formulae are presented to compute efficiently the volume enclosed between flux surfaces for integrable 3D vector fields with various degrees of symmetry.…
Conefield approach to identifying regions without flux surfaces for magnetic fields
David Martinez-del-Rio, Robert S. MacKay
The conefield variant of a Converse KAM method for 3D vector fields, identifying regions through which no invariant 2-tori pass transverse to a specified direction field, is tested…
Regions without flux surfaces of given class for magnetic fields in toroidal geometry
Nikos Kallinikos, Robert S. MacKay, David Martinez-del-Rio
A Converse KAM method for 3D vector fields, establishing regions through which pass no invariant 2-tori transverse to a given direction field, is tested on some helical perturbatio…
A new method to compute periodic orbits in general symplectic maps
Renato Calleja, Diego del-Castillo-Negrete, David Martinez-del-Rio +1
The search of high-order periodic orbits has been typically restricted to problems with symmetries that help to reduce the dimension of the search space. Well-known examples includ…
Global transport in a nonautonomous standard map
Renato Calleja, Diego del-Castillo-Negrete, David Martinez-del-Rio +1
A non-autonomous version of the standard map with a periodic variation of the parameter is introduced and studied. Symmetry properties in the variables and parameters of the map ar…
Self-consistent chaotic transport in a high-dimensional mean-field Hamiltonian map model
D. Martínez-del-Río, D. del-Castillo-Negrete, A. Olvera +1
Self-consistent chaotic transport is studied in a Hamiltonian mean-field model. The model provides a simplified description of transport in marginally stable systems including vort…