10 citations · 16 across the 6 of their papers we have counts for
4 papers · 1 filter
Construction of symplectic systems from parameter-drift Hamiltonian maps
Gabriel C. Grime, Philip J. Morrison
We reveal the symplectic nature of parameter-drift maps by embedding them into extended phase space. Applying the embedding to the parameter-drift standard nontwist map, our constr…
Effective transport barriers in the biquadratic nontwist map
Gabriel C. Grime, Ricardo L. Viana, Yves Elskens Iberê L. Caldas
Nontwist area-preserving maps violate the twist condition at specific orbits, resulting in shearless invariant curves that prevent chaotic transport. Plasmas and fluids with nonmon…
Shearless curve breakup in the biquadratic nontwist map
Gabriel C. Grime, Marisa Roberto, Ricardo L. Viana +2
Nontwist area-preserving maps violate the twist condition along shearless invariant curves, which act as transport barriers in phase space. Recently, some plasma models have presen…
Bidimensional Symplectic Maps
Felipe G. Souza, Gabriel C. Grime, Iberê L. Caldas
Symplectic maps can provide a straightforward and accurate way to visualize and quantify the dynamics of conservative systems with two degrees of freedom. These maps can be easily…