Pulse vaccination in a SIR model: Global dynamics, bifurcations and seasonality

Communications in Nonlinear Science and Numerical Simulation

2024 | journal-article

High frequency forcing of an attracting heteroclinic cycle

Portugaliae Mathematica

2024 | journal-article

Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation

Journal of Nonlinear Science

2023 | journal-article

Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation

Journal of Nonlinear Science

2023 | journal-article

Abundance of Infinite Switching

SIAM Journal on Applied Dynamical Systems

2023 | journal-article

SIR Model with Vaccination: Bifurcation Analysis

Qualitative Theory of Dynamical Systems

2023 | journal-article

Persistent strange attractors in 3D polymatrix replicators

Physica D: Nonlinear Phenomena

2022 | journal-article

Rank-one strange attractors versus heteroclinic tangles

arXiv

2022 | other

Dissecting a Resonance Wedge on Heteroclinic Bifurcations

Journal of Statistical Physics

2021 | journal-article

Abundance of Strange Attractors Near an Attracting Periodically Perturbed Network

SIAM Journal on Applied Dynamical Systems

2021 | journal-article

"Large" strange attractors in the unfolding of a Heteroclinic attractor

arXiv

2021 | other

Periodic Forcing of a Heteroclinic Network

Journal of Dynamics and Differential Equations

2021 | journal-article

Strange attractors in a seasonally forced SIR model

arXiv

2021 | other

persistent strange attractors in 3D polymatrix replicators

arXiv

2021 | other

Experimentally accessible orbits near a Bykov cycle

International Journal of Bifurcation and Chaos (to appear)

2020 | journal-article

Bifurcations from an attracting heteroclinic cycle under periodic forcing

Journal of Differential Equations

2020 | journal-article

Unfolding a Bykov attractor: from an attracting torus to strange attractors

Journal of Dynamics and Differential Equations

2020 | journal-article

About Takens' Last Problem (Portuguese)

Bol. Soc.Port. Mat. (to appear)

2020 | journal-article

The Role of the Saddle-Foci on the Structure of a Bykov Attracting Set

Qualitative Theory of Dynamical Systems

2020 | journal-article

Abundance of strange attractors near an attracting periodically-perturbed network

arXiv

2020 | other

Dissecting a resonance wedge on heteroclinic bifurcations

arXiv

2020 | other

Experimentally Accessible Orbits near a Bykov Cycle

International Journal of Bifurcation and Chaos

2020 | journal-article

Strange attractors and wandering domains near a homoclinic cycle to a bifocus

Journal of Differential Equations

2020 | journal-article

TORUS-BREAKDOWN NEAR A BYKOV ATTRACTOR: A CASE STUDY

arXiv

2020 | other

Chaos near a reversible homoclinic bifocus

Dynamical Systems

2019 | journal-article

Emergence of chaotic dynamics from singularities

[32th Brazilian Mathematics Colloquium] Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 2019

2019 | book

Moduli of stability for heteroclinic cycles of periodic solutions

Discrete and Continuous Dynamical Systems- Series A

2019 | journal-article

Unfolding A Bykov Attractor: From An Attracting Torus to Strange Attractors

arXiv

2019 | other

CHAOS NEAR A REVERSIBLE HOMOCLINIC BIFOCUS

arXiv

2018 | other

Chaos near a reversible homoclinic bifocus

arXiv

2018 | other

Complete Set of Invariants for a Bykov Attractor

Regular and Chaotic Dynamics

2018 | journal-article

Dynamics near a periodically forced robust heteroclinic cycle May 9, 2019

arXiv

2018 | other

Learning mathematics with Alice's in Wonderland (Portuguese)

AMLive

2018 | manual

STRANGE ATTRACTORS AND WANDERING DOMAINS NEAR A HOMOCLINIC CYCLE TO A BIFOCUS

arXiv

2018 | other

A note on reversibility and Pell equations

Bol. Soc. Port. Mat.

2017 | journal-article

Attractors in complex networks

2017 | other

Boundary crisis for degenerate singular cycles

Nonlinearity

2017 | journal-article

Complete set of invariants for a Bykov attractor

arXiv

2017 | other

Learning mathematics with the Beauty and the Beast (Portuguese)

AMLIVE

2017 | manual

On Takens' last problem: Tangencies and time averages near heteroclinic networks

Nonlinearity

2017 | journal-article

The role of the saddle-foci on the structure of a bykov attracting set

arXiv

2017 | other

Is there switching without suspended horseshoes?

Bol. Soc. Port. Mat.

2016 | journal-article

Homoclinic bifurcations (Portuguese)

Mathematics National Meeting

2016 | conference-paper

A Dichotomy in Area-Preserving Reversible Maps

Qualitative Theory of Dynamical Systems

2016 | journal-article

Dynamics of conservative Bykov cycles: Tangencies, generalized Cocoon bifurcations and elliptic solutions

Journal of Differential Equations

2016 | journal-article

Global bifurcations close to symmetry

Journal of Mathematical Analysis and Applications

2016 | journal-article

Learning mathematics with Cinderella on Ice (Portuguese)

AMLIVE

2016 | manual

Infinitely many multi-pulses near a bifocal cycle

10th AIMS Conference. Suppl., 954–964.

2015 | conference-paper

Dense heteroclinic tangencies near a Bykov cycle

Journal of Differential Equations

2015 | journal-article

Generic area-preserving reversible diffeomorphisms

Nonlinearity

2015 | journal-article

Moduli for heteroclinic connections involving saddle-foci and periodic solutions

Discrete and Continuous Dynamical Systems- Series A

2015 | journal-article

On the Dynamics Near a Homoclinic Network to a Bifocus: Switching and Horseshoes

International Journal of Bifurcation and Chaos

2015 | journal-article

Three Dimensional Flows: From Hyperbolicity to Quasi-Stochasticity

CIM Series in Mathematical Sciences

2015 | book-chapter

Geometric proof of Massera's theorem (Portuguese)

Bol. Soc. Port. Mat.

2014 | journal-article

Spiralling dynamics near heteroclinic networks

Physica D: Nonlinear Phenomena

2014 | journal-article

Leonid Pavlovich Shil'nikov: to the memory of a global attractor (Portuguese)

Bol. Soc. Port. Mat.

2013 | journal-article

Partial symmetry breaking and heteroclinic tangencies

Springer Proceedings in Mathematics and Statistics

2013 | conference-paper

Persistent switching near a heteroclinic model for the geodynamo problem

Chaos, Solitons and Fractals

2013 | journal-article

Repelling Dynamics Near a Bykov Cycle

Journal of Dynamics and Differential Equations

2013 | journal-article

Heteroclinic intermittence of the geomagnetic field (Portuguese)

Gazeta da Matemática

2012 | magazine-article

Product of homoclinic attractors (Portuguese)

Mathematics National Meeting

2012 | conference-paper

Heteroclinic phenomena

Universidade do Porto Faculdade de Ciências; Universidade de Coimbra Faculdade de Ciencias e Tecnologia

2012 | dissertation-thesis

Global generic dynamics close to symmetry

Journal of Differential Equations

2012 | journal-article

Intermediate value property vs. continuity (Portuguese)

Bol. Soc. Port. Mat.

2011 | journal-article

Chaotic double cycling

Dynamical Systems

2011 | journal-article

Dynamics near the product of planar heteroclinic attractors

Dynamical Systems

2011 | journal-article

A chaotic carousel: dynamics near heteroclinic networks (Portuguese)

Mathematics National Meeting

2010 | conference-paper

Switching near a network of rotating nodes

Dynamical Systems

2010 | journal-article

Examples of heteroclinic cycles and networks in differential equations with symmetry (Portuguese)

Universidade do Porto Faculdade de Ciências

2006 | dissertation-thesis