6 citations · 9 across the 3 of their papers we have counts for
3 papers
Systematic search for islets of stability in the standard map for large parameter values
Alexandre R. Nieto, Rubén Capeáns, Miguel A. F. Sanjuán
In the seminal paper (Phys. Rep. 52, 263, 1979), Boris Chirikov showed that the standard map does not exhibit a boundary to chaos, but rather that there are small islands (islets)…
Energy-based stochastic resetting can avoid noise-enhanced stability
Julia Cantisán, Alexandre R. Nieto, Jesús M. Seoane +1
The theory of stochastic resetting asserts that restarting a stochastic process can expedite its completion. In this paper, we study the escape process of a Brownian particle in an…
Period-doubling bifurcations and islets of stability in two-degree-of-freedom Hamiltonian systems
Alexandre R. Nieto, Jesús M. Seoane, Miguel A. F. Sanjuán
In this paper, we show that the destruction of the main KAM islands in two-degree-of-freedom Hamiltonian systems occurs through a cascade of period-doubling bifurcations. We calcul…