Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Capeans, Ruben"'
Publikováno v:
Nonlinear Dynamics 2024
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) of stability for arbitrarily large values of the nonlinear perturbatio
Externí odkaz:
http://arxiv.org/abs/2404.12027
We propose to control the orbits of the two-dimensional Rulkov model affected by bounded noise. For the correct parameter choice the phase space presents two chaotic regions separated by a transient chaotic region in between. One of the chaotic regio
Externí odkaz:
http://arxiv.org/abs/2301.02224
Autor:
Capeáns, Rubén, Sanjuán, Miguel A. F
Publikováno v:
Journal of Difference Equations and Applications 2022
In this work we deal with the H\'enon and the Lozi map for a choice of parameters where they show transient chaos. Orbits close to the chaotic saddle behave chaotically for a while to eventually escape to an external attractor. Traditionally, to prev
Externí odkaz:
http://arxiv.org/abs/2202.09402
Autor:
Capeáns, Rubén, Sanjuán, Miguel A. F.
Partial control is a technique used in systems with transient chaos. The aim of this control method is to avoid the escape of the orbits from a region Q of the phase space where the transient chaotic dynamics takes place. This technique is based on f
Externí odkaz:
http://arxiv.org/abs/2105.03351
A new control algorithm based on the partial control method has been developed. The general situation we are considering is an orbit starting in a certain phase space region Q having a chaotic transient behavior affected by noise, so that the orbit w
Externí odkaz:
http://arxiv.org/abs/2102.11927
We present here a new approach of the partial control method, which is a useful control technique applied to transient chaotic dynamics affected by a bounded noise. Usually we want to avoid the escape of these chaotic transients outside a certain reg
Externí odkaz:
http://arxiv.org/abs/1902.06238
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation June 2023 120
The presence of a nonattractive chaotic set, also called chaotic saddle, in phase space implies the appearance of a finite time kind of chaos that is known as transient chaos. For a given dynamical system in a certain region of phase space with trans
Externí odkaz:
http://arxiv.org/abs/1803.09634
Delay-coordinate maps have been widely used recently to study nonlinear dynamical systems, where there is only access to the time series of one of their variables. Here, we show how the partial control method can be applied in this kind of framework
Externí odkaz:
http://arxiv.org/abs/1706.04884
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