scholarly journals CONTROLE DE CAOS NO MODELO NEURONAL DE HINDMARSH-ROSE COM PARÂMETROS INCERTOS

2021 ◽  
Vol 12 (4) ◽  
pp. 38-45
Author(s):  
Raildo Santos de Lima ◽  
Fábio Roberto Chavarette
Keyword(s):  
Optimal Control ◽  
Chaotic Dynamics ◽  
Neuron Model ◽  
Chaotic Behavior ◽  
Control Design ◽  
Linear Optimal Control ◽  
Mathematical System ◽  
Real Neuron ◽  
Biological Neuron ◽  
Do So

In bioengineering there is a great motivation in studying the Hindmarsh-Rose (HR) neuron model due to the fact that it represents well the biological neuron, making it possible to simulate several behaviors of a real neuron, including periodic, aperiodic and chaotic behaviors, for example. Based on this model, this article proposes applying a linear optimal control design to the uncertain and chaotic behavior established by changes in the parameters of the system. To do so, the mathematical system of the RH model and its chaotic behavior are presented; afterwards, the fixed parametersare replaced by uncertain ones, and the chaotic dynamics of the system is investigated. At last, the linear optimal control is proposed as a method for controlling the chaotic behavior of the model, and numerical simulations are presented to show the efficiency of this proposal.

Control Design Applied to a Micro Electro Mechanical System: MEMS Comb Drive

2011 ◽  
Vol 217-218 ◽  
pp. 33-38 ◽  
Author(s):  
Alessandra Bonato Altran ◽  
Fábio Roverto Chavarette ◽  
Carlos Roberto Minussi ◽  
Nelson José Peruzzi ◽  
Mara Lúcia Marthins Lopes ◽  
...  
Keyword(s):  
Optimal Control ◽  
Periodic Orbit ◽  
Chaos Control ◽  
Chaotic Behavior ◽  
Micro Electro Mechanical System ◽  
Control Technique ◽  
Reference Trajectory ◽  
Comb Drive ◽  
Linear Optimal Control ◽  
Small Periodic

This paper presents the linear optimal control technique for reducing the chaotic movement of the micro-electro-mechanical Comb Drive system to a small periodic orbit. We analyze the non-linear dynamics in a micro-electro-mechanical Comb Drive and demonstrated that this model has a chaotic behavior. Chaos control problems consist of attempts to stabilize a chaotic system to an equilibrium point, a periodic orbit, or more general, about a given reference trajectory. This technique is applied in analyzes the nonlinear dynamics in an MEMS Comb drive. The simulation results show the identification by linear optimal control is very effective.

scholarly journals ESTUDO DO COMPORTAMENTO DINÂMICO DO MODELO NEURONAL DE HINDMARSH-ROSE

2019 ◽  
Vol 11 (4) ◽  
pp. 122-130
Author(s):  
RaildoSantos de Lima ◽  
Fábio Roberto Chavarette ◽  
Luiz Gustavo Pereira Roéfero Roéfero
Keyword(s):  
Chaotic Behavior ◽  
Initial Conditions ◽  
Nerve Impulse ◽  
Neuronal Model ◽  
Random Behavior ◽  
Highly Sensitive ◽  
Real Neuron ◽  
Hr Model ◽  
Biological Neuron ◽  
The Stability

Based on the Hindmarsh-Rose (RH) neuronal model for nerve impulse transmission, this paper aims to study the properties and dynamic behavior of the non-linear chaotic system that describes neuronal bursting in a single neuron. On the part of bioengineering, there is great motivation in the study of the HR model because it is well representative of the biological neuron, being able to simulate several behaviors of a real neuron, among them periodic, aperiodic and chaotic behavior. The literature suggests that the chaotic behaviorrepresents in the human being the epileptic or convulsive state. Through computer simulations, considering the system parameters, it was analyzed that the stability is highly sensitive to the initial conditions and producing oscillations, more so, when the oscillation increases the random behavior tends to increase making the system unpredictable.

On Nonlinear Dynamics and an Optimal Control Design to a Longitudinal Flight

2007 ◽  
Vol 3 (1) ◽  
Author(s):  
Danilo Carlos Pereira ◽  
José Manoel Balthazar ◽  
Fábio Roberto Chavarette ◽  
Marat Rafikov
Keyword(s):  
Nonlinear Dynamics ◽  
Optimal Control ◽  
Critical Angle ◽  
Control Design ◽  
Linear Optimal Control ◽  
Aircraft Model ◽  
High Angles Of Attack

In this work, we analyzed a bifurcational behavior of a longitudinal flight nonlinear dynamics, taking as an example the F-8 aircraft “Crusader.” We deal with an analysis of high angles of attack in order to stabilize the oscillations; those were close to the critical angle of the aircraft, in the flight conditions, established. We proposed a linear optimal control design applied to the considered nonlinear aircraft model below angle of stall, taking into account regions of Hopf and saddled noddle bifurcations.

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