Dynamics of partial control
Safe sets are a basic ingredient in the strategy of partial control of chaotic systems. Recently
we have found an algorithm, the sculpting algorithm, which allows us to construct them …
we have found an algorithm, the sculpting algorithm, which allows us to construct them …
Avoiding healthy cells extinction in a cancer model
We consider a dynamical model of cancer growth including three interacting cell populations
of tumor cells, healthy host cells and immune effector cells. For certain parameter choice, the …
of tumor cells, healthy host cells and immune effector cells. For certain parameter choice, the …
When less is more: Partial control to avoid extinction of predators in an ecological model
Extinction of a species is one of the most dramatic processes in ecology. Here we use an
extended version of the McCann–Yodzis three-species food chain model proposed by …
extended version of the McCann–Yodzis three-species food chain model proposed by …
[PDF][PDF] Controlling chaos of hybrid systems by variable threshold values
We try to stabilize unstable periodic orbits embedded in a given chaotic hybrid dynamical
system by a perturbation of a threshold value. In conventional chaos control methods, a …
system by a perturbation of a threshold value. In conventional chaos control methods, a …
Forcing the escape: Partial control of escaping orbits from a transient chaotic region
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 …
general situation we are considering is an orbit starting in a certain phase space region Q …
Beyond partial control: controlling chaotic transients with the safety function
R Capeáns, MAF Sanjuán - Nonlinear Dynamics, 2022 - Springer
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 …
method is to avoid the escape of the orbits from a region Q of the phase space where the …
Partial control of chaotic transients using escape times
The partial control technique allows one to keep the trajectories of a dynamical system
inside a region where there is a chaotic saddle and from which nearly all the trajectories …
inside a region where there is a chaotic saddle and from which nearly all the trajectories …
A general method to stabilize unstable periodic orbits for switched dynamical systems with a periodically moving threshold
Y Miino, D Ito, H Asahara, T Kousaka… - International Journal of …, 2018 - Wiley Online Library
In the previous study, a method to control chaos for switched dynamical systems with
constant threshold value has been proposed. In this paper, we extend this method to the …
constant threshold value has been proposed. In this paper, we extend this method to the …
Safe regions with partial control of a chaotic system in the presence of white Gaussian noise
Noise is present in a wide variety of engineering systems, and it can play a significant role in
influencing system dynamics. Under the influence of noise, it has been shown that the …
influencing system dynamics. Under the influence of noise, it has been shown that the …
Locating and stabilizing unstable periodic orbits embedded in the horseshoe map
Based on the theory of symbolic dynamical systems, we propose a novel computation
method to locate and stabilize the unstable periodic points (UPPs) in a two-dimensional …
method to locate and stabilize the unstable periodic points (UPPs) in a two-dimensional …