14 citations · 51 across the 10 of their papers we have counts for
10 papers
Complex transitions between spiking, bursting and silent regimes in a new memristive Rulkov neuronal model
Miguel Moreno, Alexandre R. Nieto, Miguel A. F. Sanjuán
The Rulkov model, which simulates the behavior of biological neurons, is modified by replacing one of its control parameters with a memristive, sigmoid-type function of finite memo…
Chaotic resetting: A resetting strategy for deterministic chaotic systems
Julia Cantisán, Alexandre R. Nieto, Jesús M. Seoane
Restarting a stochastic search process can accelerate its completion by providing an opportunity to take a more favorable path with each reset. This strategy, known as stochastic r…
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…
Noise activates escapes in closed Hamiltonian systems
Alexandre R. Nieto, Jesus M. Seoane, Miguel A. F. Sanjuan
In this manuscript we show that a noise-activated escape phenomenon occurs in closed Hamiltonian systems. Due to the energy fluctuations generated by the noise, the isopotential cu…
Final state sensitivity in noisy chaotic scattering
Alexandre R. Nieto, Jesús M. Seoane, Miguel A. F. Sanjuán
The unpredictability in chaotic scattering problems is a fundamental topic in physics that has been studied either in purely conservative systems or in the presence of weak perturb…
Trapping enhanced by noise in nonhyperbolic and hyperbolic chaotic scattering
Alexandre R. Nieto, Jesús M. Seoane, Miguel A. F. Sanjuán
The noise-enhanced trapping is a surprising phenomenon that has already been studied in chaotic scattering problems where the noise affects the physical variables but not the param…
Measuring the transition between nonhyperbolic and hyperbolic regimes in open Hamiltonian systems
Alexandre R. Nieto, Euaggelos E. Zotos, Jesús M. Seoane +1
We show that the presence of KAM islands in nonhyperbolic chaotic scattering has deep implications on the unpredictability of open Hamiltonian systems. When the energy of the syste…
Resonant behavior and unpredictability in forced chaotic scattering
Alexandre R. Nieto, Jesús M. Seoane, J. E. Alvarellos +1
Chaotic scattering in open Hamiltonian systems is a topic of fundamental interest in physics, which has been mainly studied in the purely conservative case. However, the effect of…