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Some applications of periodic orbits for competitive systems
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2022)
Chaos prediction and bifurcation analysis in control engineering
(Planta Piloto de Ingeniería Química, 2001-12)
In this paper, two different methods to compute the period-doubling route to chaos (or Feigenbaum chaos) in nonlinear systems are presented. The first one is a semi-analytical procedure, based on a symbolic calculation of ...
Maximum population transfer in a periodically driven quantum system
(American Physical Society, 2014-12)
We study the dynamics of a two-level quantum system under the influence of sinusoidal driving in the intermediate-frequency regime. Analyzing the Floquet quasienergy spectrum, we find combinations of the field parameters ...
Symmetries and periodic orbits in simple hybrid Routhian systems
(Elsevier, 2020-05)
Symmetries are ubiquitous in a wide range of nonlinear systems. Particularly in systems whose dynamics is determined by a Lagrangian or Hamiltonian function. For hybrid systems which possess a continuous-time dynamics ...
Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
(Springer, 2018-11)
We apply a Pyragas-type control in order to synchronize the solutions of a glycolytic model that exhibits an aperiodic behavior. This delay control is used to stabilize the orbits of ordinary differential nonlinear equations ...
Harmonic Disturbance Rejection Control for Magnetic Field Compensation Applications
(Planta Piloto de Ingeniería Química, 2013-08)
A simple control strategy was studied for harmonic disturbance rejection in magnetic field compensation systems for low-field magnetic resonance techniques. The strategy is based on the simultaneous action of a conventional ...
Characterization and computation of control invariant sets within target regionsfor linear impulsive control systems
(Cornell University, 2021-03)
Linear impulsively controlled systems are suitable to describe a venue of real-life problems, going from disease treatment to aerospace guidance. The main characteristic of such systems is that they remain uncontrolled for ...
A cost reduction procedure for control-restricted nonlinear systems
(Praise Worthy Prize, 2017-11)
This paper describes a numerical scheme to approximate the solution of the optimal control problem for nonlinear systems with restrictions on the manipulated variables. The method proposed here systematically reduces the ...
Chaotic dynamics in a PD-controlled pendulum.
(IEEE, 1994)
Predictive functional control based on fuzzy model: magnetic suspension system case study
(Elsevier Science, 2003-08)
Fuzzy model based predictive functional controller (FPFC) is applied to the magnetic suspension system - a pilot plant for magnetic bearing. High quality control requirements are short settle time with a-periodical step ...