Ricardo Egydio de Carvalho

Scopus Publications

Role of phase and spatial modes in wave-induced plasma transport
L. F. B. Souza, Y. Elskens, R. Egydio de Carvalho, I. L. Caldas
Physical Review E, 2026
Circular couette flow with radial mass transfer using a recursive approach
A. K. de Almeida Jr, R. Egydio de Carvalho, L. B. T. Santos
European Physical Journal Plus, 2026
Shearless barriers in the conservative Ikeda map
Rodrigo Simile Baroni, Ricardo Egydio de Carvalho, José Danilo Szezech Junior, Iberê Luiz Caldas
Physical Review E, 2025
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, θ and ϕ. We demonstrate that the map can be interpreted as a composition of a rotation and a translation of the state vector. In the integrable case (ϕ=0), the map reduces to a uniform rotation by angle θ about a fixed point, independent of initial conditions. For ϕ≠0, the system becomes nonintegrable, and the rotation angle acquires a coordinate dependence. The resulting rotation number profile exhibits extrema as a function of position, indicating the formation of shearless barriers. We analyze the emergence, persistence, and breakup of these barriers as the control parameters vary.
Planar dynamics of non-spherical close tidally locked binaries and the restricted three body problem
G. A. Caritá, H. Hussmann, A. F. B. A. Prado, Nelson Callegari, M. H. M. Morais, R. E. de Carvalho
Nonlinear Dynamics, 2025
Transport barriers and directed transport in the rational standard nontwist map
Rodrigo Simile Baroni, Ricardo Egydio de Carvalho, José Danilo Szezech Junior, Iberê Luiz Caldas
Physical Review E, 2025
We explore the dynamics and transport properties of the rational standard nontwist map (RSNM), which works as an extension of the standard nontwist map (SNM). In addition to the usual parameters of the SNM that govern the twist function profile and the intensity of the nonlinear perturbation, we introduce a new perturbation parameter μ in the RSNM, which makes it possible to break the symmetry of the system. The symmetry breaking leads to directed transport, known as the ratchet effect, where chaotic orbits exhibit a preferential direction of motion. We analyze the impact of μ on both the phase space and the parameter space structure, focusing on the destruction of transport barriers, which acts as separators between chaotic regions. Through numerical simulations and analysis of the fixed points stability, we demonstrate that an increase in μ enhances the chaotic volume in the lower half of the phase space, resulting in the destruction of invariant spanning curves, while simultaneously regularizing the upper half. Additionally, we explore the conditions under which partial transport barriers persist and their role in moderating transport across the phase space. We show that even small variations in a control parameter causes crossings of invariant manifolds from different regions of the phase space, enhancing transport with the mechanism of turnstiles and intercrossing. Our analysis of directed transport reveals that the breaking of symmetry by μ results in either positive or negative net transport in the phase space, depending on the control parameters. We also note that RSNM creates new regions within the parameter space, referred to as holes, due to the emergence of transport within previously null transport regions.
Global dynamics and asymmetric fractal dimension in a nontwist circle map
R. Simile Baroni, R. Egydio de Carvalho, Carlos E. P. Abreu, R. O. Medrano-T
Chaos, 2025
We consider the standard nontwist map with strong dissipation that leads the system to a 1D circular map with a quadratic sinusoidal oscillation and two control parameters. The 2D Lyapunov and isoperiodic diagrams reveal a complex interplay between domains of periodicity embedded in regions dominated by quasiperiodic and chaotic behaviors. Arnold tongues and shrimp-like, among other sets of periodicities, compose this rich dynamical scenario in the parameter space. Cobwebs and bifurcation diagrams help reveal the behavior of attractors, including multistability, period-doubling, pitchfork bifurcations, as well as boundary, merging, and interior crises that influence the structures of periodicity. Furthermore, we bring to light the global organization of shrimp-like structures by carrying out a new concept of orbits, the extreme orbits, and announce that the fractal dimension, believed to be universal in the parameter space for decades, has its symmetry breaking in the vicinity of shrimp-like cascades.
Shearless and periodic attractors in the dissipative Labyrinthic map
L. F. B. Souza, R. Egydio de Carvalho, R. L. Viana, I. L. Caldas
Chaos, 2024
The Labyrinthic map is a two-dimensional area-preserving map that features a robust transport barrier known as the shearless curve. In this study, we explore a dissipative version of this map, examining how dissipation affects the shearless curve and leads to the emergence of quasi-periodic or chaotic attractors, referred to as shearless attractors. We present a route to chaos of the shearless attractor known as the Curry–Yorke route. To investigate the multi-stability of the system, we employ basin entropy and boundary basin entropy analyses to characterize diverse scenarios. Additionally, we numerically investigate the dynamic periodic structures known as “shrimps” and “Arnold tongues” by varying the parameters of the system.
Lagrangian descriptors: The shearless curve and the shearless attractor
R. Simile Baroni, R. Egydio de Carvalho
Physical Review E, 2024
Hamiltonian systems with a nonmonotonic frequency profile are called nontwist. One of the key properties of such systems, depending on adjustable parameters, is the presence of a robust transport barrier in the phase space called the shearless curve, which becomes the equally robust shearless attractor when dissipation is introduced. We consider the standard nontwist map with and without dissipation. We derive analytical expressions for the Lagrangian descriptor (LD) for the unperturbed map and show how they are related to the rotation number profile. We show how the LDs can reconstruct finite segments of the invariant manifolds for the perturbed map. In the conservative case, we demonstrate how the LDs distinguish the chaotic seas from regular structures. The LDs also provide a remarkable tool to identify when the shearless curve is destroyed: we present a fractal boundary, in the parameter space, for the existence or not of the shearless torus. In the dissipative case, we show how the LDs can be used to localize point attractors and the shearless attractor and distinguish their basins of attraction.
Retrograde resonances at high mass ratio in the circular restricted 3-body problem
G. A. Caritá, A. C. Signor, M. H. M. Morais, R. Egydio de Carvalho, A. F. B. A. Prado
Nonlinear Dynamics, 2023
Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules
M. D. Forlevesi, R. Egydio de Carvalho, Emanuel F. de Lima
Physical Review E, 2023
We consider the nonlinear dynamics of a diatomic polar molecule under a linearly polarized laser field. We assume a model in which the molecule dipole is coupled with a time-dependent electric field. This system presents a bound energy region where the atoms are bound, and a free-energy region where the atoms are dissociated. Due to the nonalignment between the dipole axis and the laser direction, and the time dependence of the external field, this system presents two and a half degrees of freedom, namely the vibrational degree, the rotation degree, and the time. To investigate the system dynamics, instead of using the Poincaré surface-of-section technique, we propose the use of the Lagrangian descriptor associated with the escape times. The Lagrangian descriptor is a quantity that reveals complex structures in the phase space, whereas the escape times are the time span in which a trajectory is initially in the bound region before escaping to the unbound region. The combination of these two quantities allows us to distinguish between real stability regions from other complex structures, including stickiness regions, and a different formation, which we call escape islands. With the help of these tools, we find that for high-field amplitudes the inclusion of rotation leads to an increase of the stability regions, which implies a decrease of the dissociation in comparison with the one-dimensional case.
Chaotic saddles and interior crises in a dissipative nontwist system
R. Simile Baroni, R. Egydio de Carvalho, I. L. Caldas, R. L. Viana, P. J. Morrison
Physical Review E, 2023
Transport barriers for two modes drift wave map
L.F. Bernardi de Souza, R. Egydio de Carvalho, I.L. Caldas
Physics Letters Section A General Atomic and Solid State Physics, 2022
Destruction and resurgence of the quasiperiodic shearless attractor
R. Simile Baroni, R. Egydio de Carvalho
Physical Review E, 2021
Nonlinear photoassociation through exotic orbits
M. D. Forlevesi, R. Egydio de Carvalho, Emanuel F. de Lima
Physical Review E, 2021
Curry-Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems
Michele Mugnaine, Antonio M. Batista, Iberê L. Caldas, José D. Szezech, Ricardo Egydio de Carvalho, Ricardo L. Viana
Chaos, 2021
Nonchaotic laser pulse dissociation through deformed tori
Emanuel F. de Lima, R. Egydio de Carvalho, M. D. Forlevesi
Physical Review E, 2020
Transport barriers with shearless attractors
L. Kimi Kato, R. Egydio de Carvalho
Physical Review E, 2019
Dynamics of a light beam suffering the influence of a dispersing mechanism with tunable refraction index
Diogo Ricardo da Costa, R. Egydio de Carvalho
Physical Review E, 2018
A tunable mechanism to control photo-dissociation with invariant tori with variable energies
M.D. Forlevesi, R. Egydio de Carvalho, E.F. de Lima
Physica A Statistical Mechanics and Its Applications, 2018
Squared sine logistic map
R. Egydio de Carvalho, Edson D. Leonel
Physica A Statistical Mechanics and Its Applications, 2016
Influence of stability islands in the recurrence of particles in a static oval billiard with holes
Matheus Hansen, R. Egydio de Carvalho, Edson D. Leonel
Physics Letters Section A General Atomic and Solid State Physics, 2016
Controlling dissociation by trapping trajectories in highly energetic states
A.K. de Almeida Jr., R. Egydio de Carvalho, E.F. de Lima
Physica A Statistical Mechanics and Its Applications, 2016
Robust attractor of non-twist systems
R. Egydio de Carvalho, C. Vieira Abud
Physica A Statistical Mechanics and Its Applications, 2015
If there is dissipation the particle can gain energy
R Egydio de Carvalho
Journal of Physics Conference Series, 2015
Tunable Fermi acceleration in a nondissipative driven magnetic billiard
B. Castaldi, R. Egydio de Carvalho, C. Vieira Abud, A. P. Mijolaro
Physical Review E Statistical Nonlinear and Soft Matter Physics, 2014
Multifractality, stickiness, and recurrence-time statistics
C. Vieira Abud, R. Egydio de Carvalho
Physical Review E Statistical Nonlinear and Soft Matter Physics, 2013
Role of the range of the dipole function in the classical dynamics of molecular dissociation
Emanuel F. de Lima, Tárcius N. Ramos, R. Egydio de Carvalho
Physical Review E Statistical Nonlinear and Soft Matter Physics, 2013
Elements of non-linear hamiltonian dynamics
R Egydio de Carvalho
Journal of Physics Conference Series, 2013
Robust tori-like Lagrangian coherent structures
Luis C. de Oliveira, Caroline G.L. Martins, M. Roberto, I.L. Caldas, R. Egydio de Carvalho
Physica A Statistical Mechanics and Its Applications, 2012
Effects of oscillatory behavior of the dipole function on the dissociation dynamics of the classical driven Morse oscillator
Emanuel F. de Lima, R. Egydio de Carvalho
Physica D Nonlinear Phenomena, 2012
Energy gain induced by boundary crisis
C. Vieira Abud, R. Egydio de Carvalho
Physical Review E Statistical Nonlinear and Soft Matter Physics, 2011
Plasma confinement in tokamaks with robust torus
C.G.L. Martins, R. Egydio de Carvalho, I.L. Caldas, M. Roberto
Physica A Statistical Mechanics and Its Applications, 2011
Labyrinthic standard non-twist map
C G L Martins, R Egydio de Carvalho, I L Caldas, M Roberto
Journal of Physics A Mathematical and Theoretical, 2011
Velocity-dependent KAM islands
R. Egydio de Carvalho, C. Vieira Abud
Chaos Solitons and Fractals, 2011
Magnetic field line escape: Comparison with mean free path
Caroline G L Martins, M Roberto, I L Caldas, R Egydio de Carvalho
Journal of Physics Conference Series, 2011
Blocking radial diffusion in a double-waved Hamiltonian model
Caroline G L Martins, F A Marcus, I L Caldas, R Egydio de Carvalho
Journal of Physics Conference Series, 2011
Robust tori in a double-waved Hamiltonian model
C.G.L. Martins, F.A. Marcus, I.L. Caldas, R. Egydio de Carvalho
Physica A Statistical Mechanics and Its Applications, 2010
The non-twist standard map with robust tori
C G L Martins, R Egydio de Carvalho, I L Caldas, M Roberto
Journal of Physics A Mathematical and Theoretical, 2010
Effect of robust torus on the dynamical transport
C G L Martins, R Egydio de Carvalho, I L Caldas, M Roberto
Journal of Physics Conference Series, 2010
Interference of robust tori on the resonance overlap
R. Egydio de Carvalho, Caroline G.L. Martins, G.M. Favaro
Brazilian Journal of Physics, 2009
Tunneling among rotation tori
R. Egydio de Carvalho, G.M. Favaro
Physica A Statistical Mechanics and Its Applications, 2009
Dissipation as a mechanism of energy gain
R. Egydio de Carvalho, C. Vieira Abud, F. Caetano Souza
Physical Review E Statistical Nonlinear and Soft Matter Physics, 2008
Scaling properties of the regular dynamics for a dissipative bouncing ball model
Edson D. Leonel, Diego F.M. Oliveira, R. Egydio de Carvalho
Physica A Statistical Mechanics and Its Applications, 2007
A family of crisis in a dissipative Fermi accelerator model
Edson D. Leonel, R. Egydio de Carvalho
Physics Letters Section A General Atomic and Solid State Physics, 2007
Erratum: Fermi acceleration on the annular billiard (Physical Review E (2006) 73 (066229))
R. Egydio de Carvalho, F. Caetano Souza, Edson D. Leonel
Physical Review E Statistical Nonlinear and Soft Matter Physics, 2006
Fermi acceleration on the annular billiard: A simplified version
R Egydio de Carvalho, F Caetano de Souza, Edson D Leonel
Journal of Physics A Mathematical and General, 2006
Fermi acceleration on the annular billiard
R. Egydio de Carvalho, F. Caetano Souza, Edson D. Leonel
Physical Review E Statistical Nonlinear and Soft Matter Physics, 2006
The defocusing mechanism of isochronous resonances
R. Egydio de Carvalho, G.M. Favaro
Physica A Statistical Mechanics and Its Applications, 2005
Fluctuations of doublet splittings using the annular billiard
R. Egydio de Carvalho, A. P. Mijolaro
Physical Review E Statistical Nonlinear and Soft Matter Physics, 2004
Fluctuations of doublet splittings using the annular billiard
R. Egydio de Carvalho, A. P. Mijolaro
Physical Review E Statistical Physics Plasmas Fluids and Related Interdisciplinary Topics, 2004
Energy spectrum and eigenfunctions through the quantum section method
J.S. Espinoza Ortiz, R. Egydio de Carvalho
Brazilian Journal of Physics, 2001
Overlap of isochrone resonances: Chaos and refraction
R. Egydio de Carvalho
Physical Review E Statistical Physics Plasmas Fluids and Related Interdisciplinary Topics, 1997
Semiclassical theory of magnetization for a two-dimensional non-interacting electron gas
S D Prado, M A M de Aguiar, J P Keating, R Egydio de Carvalho
Journal of Physics A General Physics, 1994
Quantum tunneling and chaotic dynamics
O. Bohigas, D. Boosé, R.Egydio de Carvalho, V. Marvulle
Nuclear Physics Section A, 1993
Classical and quantal aspects of resonant normal forms
R Egydio de Carvalho
Nonlinearity, 1993
Integrable approximation to the overlap of resonances
R.Egydio de Carvalho, A.M.Ozorio de Almeida
Physics Letters A, 1992
Quantum and semiclassical Husimi distributions for a one-dimensional resonant system
R. Egydio de Carvalho, M. A. M. de Aguiar
Physical Review A, 1992

Ricardo Egydio de Carvalho

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Scopus Publications