Publications by the researcher in collaboration with Alejandro J. Rodríguez-Luis (69)

2022

  1. Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system

    Communications in Nonlinear Science and Numerical Simulation, Vol. 111

  2. Study of a homoclinic canard explosion from a degenerate center

    Applied Mathematics Letters, Vol. 132

2021

  1. Asymptotic expansions for a degenerate canard explosion

    Physica D: Nonlinear Phenomena, Vol. 418

  2. High-order approximation of heteroclinic bifurcations in truncated 2d-normal forms for the generic cases of hopf-zero and nonresonant double hopf singularities

    SIAM Journal on Applied Dynamical Systems, Vol. 20, Núm. 1, pp. 403-437

2020

  1. Analytical approximation of cuspidal loops using a nonlinear time transformation method

    Applied Mathematics and Computation, Vol. 373

  2. Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method

    Physica D: Nonlinear Phenomena, Vol. 406

  3. Asymptotic expansions for a family of non-generic canards using parametric representation

    Applied Mathematics Letters, Vol. 106

  4. Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms

    Communications in Nonlinear Science and Numerical Simulation, Vol. 81

  5. High-Order Analysis of Canard Explosion in the Brusselator Equations

    International Journal of Bifurcation and Chaos, Vol. 30, Núm. 5

  6. High-Order Analysis of Global Bifurcations in a Codimension-Three Takens-Bogdanov Singularity in Reversible Systems

    International Journal of Bifurcation and Chaos, Vol. 30, Núm. 1

  7. High-order study of the canard explosion in an aircraft ground dynamics model

    Nonlinear Dynamics, Vol. 100, Núm. 2, pp. 1079-1090

2019

  1. A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens–Bogdanov normal form

    Nonlinear Dynamics, Vol. 97, Núm. 2, pp. 979-990

  2. Revisiting the analysis of a codimension-three Takens–Bogdanov bifurcation in planar reversible systems

    Nonlinear Dynamics, Vol. 96, Núm. 4, pp. 2567-2580

  3. Study of a dynamical system with a strange attractor and invariant tori

    Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 383, Núm. 13, pp. 1441-1449

  4. Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case Cin

    Communications in Nonlinear Science and Numerical Simulation, Vol. 77, pp. 324-337

2018

  1. A Review on Some Bifurcations in the Lorenz System

    Understanding Complex Systems (Springer Verlag), pp. 3-36

  2. Comments on “Shilnikov chaos and Hopf bifurcation in three-dimensional differential system”

    Optik, Vol. 155, pp. 251-256

2016

  1. Comment on “Study on the reliable computation time of the numerical model using the sliding temporal correlation method”

    Theoretical and Applied Climatology, Vol. 126, Núm. 3-4, pp. 797-799

  2. Resonances of periodic orbits in the Lorenz system

    Nonlinear Dynamics, Vol. 84, Núm. 4, pp. 2111-2136

  3. Superluminal periodic orbits in the Lorenz system

    Communications in Nonlinear Science and Numerical Simulation, Vol. 39, pp. 220-232