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Isochronous bifurcations dependence on the driving mode phase shift in two-harmonic standard maps
Michele Mugnaine, Ricardo L. Viana, Alfredo M. Ozorio de Almeida +2
Some dynamical properties of nonlinear coupled systems can be described by the two-harmonic standard map, a two-dimensional area-preserving system with two parameters, where two di…
Hamiltonian chaos for one particle with two waves: Self-consistent dynamics
Matheus Jean Lazarotto, Iberê Luiz Caldas, Yves Elskens
A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the waves dynamics. We focus on the conf…
Identifying ballistic modes via Poincaré sections
André Farinha Bósio, Iberê Luiz Caldas, Ricardo Luiz Viana +1
Exploring chaotic systems via Poincaré sections has proven essential in dynamical systems, yet measuring their characteristics poses challenges to identify the various dynamical re…
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…
Biquadratic Nontwist Map: a model for shearless bifurcations
G. C. Grime, M. Roberto, R. L. Viana +2
Area-preserving nontwist maps are used to describe a broad range of physical systems. In those systems, the violation of the twist condition leads to nontwist characteristic phenom…