We are interested in bifurcation and resonance phenomenon in nonlinear systems. Sanjuán is a professor of Physics at in. But, at which point are going the pedagogues to defend the rationality of their proposals? This review volume consists an indispensable collection of research papers chronicling the recent progress in controlling chaos. For the system under study, we observe that most of its resonances exhibit more than one island chain. Here, new theoretical ideas, as experimental implementations of controlling chaos, are included, while the applications contained in this volume can be referred to turbulent magnetized plasmas, chaotic neural networks, modeling city traffic and models of interest in celestial mechanics. The Partial Control aims at providing toy examples of chaotic situations where we try to avoid disasters, constantly revising our trajectories. He was listed in the 2016.
Sanjuán Recent progress in controlling chaos, World Scientific 2010 External links. Chaos and its control are an active research area in the field of nonlinear control. He is one among the pioneers in the nonlinear and complex systems and. In this paper we show how time-delayed quantum coherent feedback can be used to control the degree of squeezing in the output field of a cavity containing a degenerate parametric oscillator. He is also the of the of and the of the on Dynamics, and Systems. We have also analyzed the effect of the phase in the phenomenon of the crisis-induced intermittency, showing how the phase enhances the size of the attractor near a crisis and can induce the intermittent behavior. As a particular case, we consider pest control applied to pest populations with delayed density-dependence.
In this flow, they showed the presence of indecomposable continua associated to the chaotic dynamics of the fluids. Celso Grebogi Birth Name: Celso Grebogi Birth Place: Nationality: Fields: and Workplaces: Celso Grebogi born 1947 is a Brazilian who works in the area of. For higher values of the wave amplitude, the robust torus controls chaos in the system and restores the acceleration process. This includes a parametric version of the control method. This article is considered as one among the classic works in the control theory of chaos and their control method is known as the famous. In our chaotic lives we usually do not try to specify our plans in great detail, or if we do, we should be prepared to make major modifications.
Considering a large set of trajectories covering the entire phase space, we analyze the coupling energy term to determine how it mediates the energy exchange between the spring and pendular motions. He was listed in the 2016. Sanjuán is a of at Rey Juan in Madrid, Spain. The map that describes the time evolution of the system is explicit, and it can be considered as a magnetized relativistic version of the classical standard map. We only have partial control over our futures. His blog to the of and complexity, and he had some in newspapers.
He is known for his contributions in , , and , and has published several scientific papers and popular news articles. We verify that this superposition of resonant terms makes the number of chains vary as a function of the parameters of the wave. One of the main goals of this paper is to apply this control technique to the bouncing ball system, which can be seen as a paradigmatic periodically driven discrete dynamical system, and has a rather simple physical interpretation. The method is based on the existence of a set, called the safe set, that allows to sustain transient chaos by only using a small amount of control. Sanjuan became the elected member of.
This title includes theoretical ideas, as experimental implementations of controlling chaos. He and his colleagues and have shown with a numerical example that one can convert a chaotic attractor to any one of a large number of possible attracting time-periodic motions by making only small time-dependent perturbations of an available system parameter. The main idea is to apply a periodic control signal including a phase difference with respect to the periodic forcing of the initial system and to analyze its effect on the dynamics of the bouncing ball system. We investigate the dynamics of relativistic charged particles interacting with a uniform magnetic field and a stationary electrostatic wave, and we present a method to improve particle acceleration from low initial energies. The general results are applied to the suppression of unwanted large-amplitude oscillations around the equilibria of the stochastically forced Verhulst model with noisy observations.
Miguel Angel Fernandez Sanjuan has received one of the Research Excellence Awards in the category of Sciences granted by the Social Council of the Rey Juan Carlos University in 2016. He has done extensive research in the field of before his work on the theory of s. Shinbrot, Ott, Yorke Using small perturbations to control chaos, Nature, volume 363, 1993, p. We average the energy terms in time and space, and we present how they vary according to the parameters. In addition, the control scheme is able to construct networks such that they exhibit not only a given cluster state, but also oscillate with a prescribed frequency.
When properly located, the robust torus increases the final energy of the particles. Furthermore, we apply a method of control of chaos for near-integrable Hamiltonians that consists in the addition of a simple control term with low amplitude to the system. For a given dynamical system in a certain region of phase space with transient chaos, trajectories eventually abandon the chaotic region escaping to an external attractor, if no external intervention is done on the system. So far, no systematic development of theoretical and experimental studies to significantly restrict the development of mechanisms of coupling nonlinear phenomena, multipole and smart materials. He is also the Director of the Department of Physics and the Director of the Research Group on Nonlinear Dynamics, Chaos Theory and Complex Systems. For sufficiently large values of the wave period or wave number, all the primary resonances present two or more island chains in phase space.