Zobrazeno 1 - 10
of 220
pro vyhledávání: '"Seoane, Jesús M."'
The main purpose of this paper is to study both the underdamped and the overdamped dynamics of the nonlinear Helmholtz oscillator with a fractional order damping. For that purpose, we use the Grunwald-Letnikov fractional derivative algorithm in order
Externí odkaz:
http://arxiv.org/abs/2404.17599
We analyze the nonlinear Helmholtz oscillator in the presence of fractional damping, a characteristic feature in several physical situations. In our specific scenario, as well as in the non-fractional case, for large enough excitation amplitudes, all
Externí odkaz:
http://arxiv.org/abs/2404.16869
In this paper, we study different types of phase space structures which appear in the context of relativistic chaotic scattering. By using the relativistic version of the H\'{e}non-Heiles Hamiltonian, we numerically study the topology of different ki
Externí odkaz:
http://arxiv.org/abs/2404.05254
The interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping term. Our fi
Externí odkaz:
http://arxiv.org/abs/2402.02940
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 open Hamiltonian system that suffers noise-enhanced stability. This p
Externí odkaz:
http://arxiv.org/abs/2401.10964
Publikováno v:
Chaos, Solitons & Fractals, 172, 113531, (2023)
Rotating clusters or vortices are formations of agents that rotate around a common center. These patterns may be found in very different contexts: from swirling fish to surveillance drones. Here, we propose a minimal model for self-propelled chiral p
Externí odkaz:
http://arxiv.org/abs/2305.08507
A variation in the environment of a system, such as the temperature, the concentration of a chemical solution or the appearance of a magnetic field, may lead to a drift in one of the parameters. If the parameter crosses a bifurcation point, the syste
Externí odkaz:
http://arxiv.org/abs/2304.03668
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 calculate the corresponding Feigenbaum constant and the accumulation point o
Externí odkaz:
http://arxiv.org/abs/2303.16116
Noisy scattering dynamics in the randomly driven H\'enon-Heiles system is investigated in the range of initial energies where the motion is unbounded. In this paper we study, with the help of the exit basins and the escape time distributions, how an
Externí odkaz:
http://arxiv.org/abs/2301.04473
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation Communications in Nonlinear Science and Numerical Simulation, Volume 117, February 2023, 106959
We consider the nonlinear Duffing oscillator in presence of fractional damping which is characteristic in different physical situations. The system is studied with a smaller and larger damping parameter value, that we call the underdamped and overdam
Externí odkaz:
http://arxiv.org/abs/2212.11023