Author

A. K. P. da Fonseca

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Preprint Sep 2026

First-Order Transition to Chaos with Critical Slowing Down

Can the transition from integrability to chaos be discontinuous? We show that it can, and that the resulting first-order dynamical transition coexists with critical slowing down. Using an analytically tractable confined random walk and a deterministic stadium-like billiard, we find a finite jump of the stationary diffu...

A. K. P. da Fonseca, Marcelo de Almeida Presotto, D. M. Oliveira et al. · 0 citations

Preprint Sep 2026

First-order integrability-breaking phase transitions in dynamical systems

We investigate a discontinuous route from integrability to chaos using a confined stochastic random walk and a deterministic stadium-like billiard. In both systems, the stationary diffusive observable exhibits a finite jump at the transition: it vanishes at the unperturbed limit but approaches a finite, geometry-contro...

A. K. P. da Fonseca, Marcelo de Almeida Presotto, D. M. Oliveira et al. · 0 citations