2 papers
nlin.CD2026
First-order integrability-breaking phase transitions in dynamical systems
Anne Ketri P. da Fonseca, Marcelo de Almeida Presotto, Diego F. M. Oliveira +1
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…
nlin.CD2026
First-Order Transition to Chaos with Critical Slowing Down
Anne Ketri P. da Fonseca, Marcelo de Almeida Presotto, Diego F. M. Oliveira +1
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. U…