21 citations · 56 across the 10 of their papers we have counts for
5 papers · 1 filter
Shearless barriers in the conservative Ikeda map
Rodrigo Simile Baroni, Ricardo Egydio de Carvalho, José Danilo Szezech Junior +1
We investigate the dynamics of the Ikeda map in the conservative limit, where it is represented as a two-dimensional area-preserving map governed by two control parameters, and…
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 effective barriers to chaotic transport induced by even twin islands in nontwist systems
M. Mugnaine, J. D. Szezech, R. L. Viana +2
For several decades now it has been known that systems with shearless invariant tori, nontwist Hamiltonian systems, possess barriers to chaotic transport. These barriers are resili…
Chaotic saddles and interior crises in a dissipative nontwist system
Rodrigo Simile Baroni, Ricardo Egydio de Carvalho, Iberê Luiz Caldas +2
We consider a dissipative version of the standard nontwist map. Nontwist systems present a robust transport barrier, called the shearless curve, that becomes the shearless attracto…
Riddling: Chimera's dilemma
Vagner dos Santos, José Danilo Szezech Júnior, Antonio Marcos Batista +8
We investigate the basin of attraction properties and its boundaries for chimera states in a circulant network of Hénon maps. Chimera states, for which coherent and incoherent doma…