Matheus Rolim Sales

I am a postdoctoral researcher in physics working on nonlinear dynamics and chaos. My research addresses transport and diffusion in Hamiltonian systems, chaos indicators and recurrence-based methods, and the collective dynamics of complex networks. I also develop open-source scientific software for the analysis of dynamical systems.

São Paulo State University (UNESP)
Institute of Geosciences and Exact Sciences
13506-900, Rio Claro, SP, Brazil
rolim.sales[at]unesp.br

Research interests

• Nonlinear dynamics and chaos
• Hamiltonian systems
• Mechanism of transport and diffusion
• Classical and quantum billiards
• Synchronization and chimera states in complex networks
• Adaptive dynamical networks
• Neuronal models

Selected work

News

• New article published in Physical Review E on 24 Jul 2026: Role of manifolds in the transport of chaotic trajectories in the standard nontwist map.
• New article published in Chaos, Solitons and Fractals on 15 Jul 2026: On the dynamical and statistical properties of a quartic mean-field Hamiltonian model.
• New preprint submitted to arXiv on 22 Jun 2026: Recurrence time entropy and weak chaos in Hamiltonian flows.
• New article published in Chaos on 16 Jun 2026: Hierarchical fragmentation of regular islands in a discontinuous nontwist map.
• New article published in Physica A on 9 Feb 2026: On the dynamics of the q-Tsallis Gauss Iterated Map.
• New article published in Chaos, Solitons and Fractals on 9 Jan 2026: On the behavior of Linear Dependence, Smaller, and Generalized Alignment Indices in discrete and continuous chaotic systems.
• New article published in Chaos, Solitons and Fractals on 8 Oct 2025: pynamicalsys: A Python toolkit for the analysis of dynamical systems.