scholarly journals A modified modeling and dynamical behavior analysis method for fractional-order positive Luo converter

PLoS ONE ◽  
2020 ◽  
Vol 15 (8) ◽  
pp. e0237169
Author(s):  
Zirui Jia ◽  
Chongxin Liu
Keyword(s):  
Behavior Analysis ◽  
Fractional Order ◽  
Dynamical Behavior ◽  
Analysis Method

Adaptive Synchronization of Fractional-Order Coupled Neurons Under Electromagnetic Radiation

2020 ◽  
Vol 30 (03) ◽  
pp. 2050044
Author(s):  
Fanqi Meng ◽  
Xiaoqin Zeng ◽  
Zuolei Wang ◽  
Xinjun Wang
Keyword(s):  
Electromagnetic Radiation ◽  
Fractional Order ◽  
Dynamical Behavior ◽  
Lyapunov Stability Theory ◽  
Neuronal Model ◽  
Adaptive Synchronization ◽  
Dynamical Characteristics ◽  
Single Controller ◽  
Improved Model ◽  
Complex Dynamical Behavior

In this paper, we investigate the dynamical characteristics of four-variable fractional-order Hindmarsh–Rose neuronal model under electromagnetic radiation. The numerical results show that the improved model exhibits more complex dynamical behavior with more bifurcation parameters. Meanwhile, based on the fractional-order Lyapunov stability theory, we propose two adaptive control methods with a single controller to realize chaotic synchronization between two coupled neurons. Finally, numerical simulations show the feasibility and effectiveness of the presented method.

Nonparametric Survival Analysis of Non-Motor Vehicles Violation in Signal Intersection

2015 ◽  
Vol 713-715 ◽  
pp. 2115-2118 ◽  
Author(s):  
Pan Hao ◽  
Wei Cheng
Keyword(s):  
Survival Analysis ◽  
Behavior Analysis ◽  
Motor Vehicle ◽  
Survival Function ◽  
Reference Value ◽  
Motor Vehicles ◽  
Analysis Method ◽  
Street Crossing ◽  
Traffic Characteristics ◽  
Traffic Behavior

The research objectives were to investigate non-motor vehicle violation in signal intersection by studying behavior analysis. Non-motor vehicles’ street-crossing behavior was examined by modeling the non-motor vehicles waiting time survival function at signalized crosswalk through survival analysis method. Statistical and analysis of the filtered traffic parameters such as drivers, road conditions and other factors on the age obtained regularities of non-motor vehicles violation and a contrast and reference value with pedestrians’ violation serving as evaluation of the crowd and traffic characteristics for non-motor vehicles violation which can be used on other similar traffic behavior analysis and has some reference value.

Dynamical Analysis and Circuit Simulation of a New Fractional-Order Hyperchaotic System and Its Discretization

2016 ◽  
Vol 26 (13) ◽  
pp. 1650222 ◽  
Author(s):  
A. M. A. El-Sayed ◽  
A. Elsonbaty ◽  
A. A. Elsadany ◽  
A. E. Matouk
Keyword(s):  
Fractional Order ◽  
Initial Conditions ◽  
Circuit Simulation ◽  
Equilibrium Points ◽  
Dynamical Behavior ◽  
Phase Portraits ◽  
Control Technique ◽  
Order System ◽  
Qualitative Behavior ◽  
Hyperchaotic System

This paper presents an analytical framework to investigate the dynamical behavior of a new fractional-order hyperchaotic circuit system. A sufficient condition for existence, uniqueness and continuous dependence on initial conditions of the solution of the proposed system is derived. The local stability of all the system’s equilibrium points are discussed using fractional Routh–Hurwitz test. Then the analytical conditions for the existence of a pitchfork bifurcation in this system with fractional-order parameter less than 1/3 are provided. Conditions for the existence of Hopf bifurcation in this system are also investigated. The dynamics of discretized form of our fractional-order hyperchaotic system are explored. Chaos control is also achieved in discretized system using delay feedback control technique. The numerical simulation are presented to confirm our theoretical analysis via phase portraits, bifurcation diagrams and Lyapunov exponents. A text encryption algorithm is presented based on the proposed fractional-order system. The results show that the new system exhibits a rich variety of dynamical behaviors such as limit cycles, chaos and transient phenomena where fractional-order derivative represents a key parameter in determining system qualitative behavior.

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