On UAV Source Seeking with Complex Dynamic Characteristics and Multiple Constraints: A Cooperative Standoff Monitoring Mode

2016 ◽

Vol 26 (11) ◽

pp. 1650181 ◽

Cited By ~ 9

Author(s):

Junhai Ma ◽

Wenbo Ren

Keyword(s):

Hopf Bifurcation ◽

Fractional Order ◽

Dynamic Characteristics ◽

Fractional Order System ◽

Order System ◽

Complex Dynamic ◽

Macroeconomic Regulation And Control ◽

And Control ◽

System Order ◽

Macroeconomic Environment

On the basis of our previous research, we deepen and complete a kind of macroeconomics IS-LM model with fractional-order calculus theory, which is a good reflection on the memory characteristics of economic variables, we also focus on the influence of the variables on the real system, and improve the analysis capabilities of the traditional economic models to suit the actual macroeconomic environment. The conditions of Hopf bifurcation in fractional-order system models are briefly demonstrated, and the fractional order when Hopf bifurcation occurs is calculated, showing the inherent complex dynamic characteristics of the system. With numerical simulation, bifurcation, strange attractor, limit cycle, waveform and other complex dynamic characteristics are given; and the order condition is obtained with respect to time. We find that the system order has an important influence on the running state of the system. The system has a periodic motion when the order meets the conditions of Hopf bifurcation; the fractional-order system gradually stabilizes with the change of the order and parameters while the corresponding integer-order system diverges. This study has certain significance to policy-making about macroeconomic regulation and control.

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Research on the Complex Dynamic Characteristics and RLS Estimation’s Influence Based on Price and Service Game

Mathematical Problems in Engineering ◽

10.1155/2015/302506 ◽

2015 ◽

Vol 2015 ◽

pp. 1-13 ◽

Cited By ~ 4

Author(s):

Junhai Ma ◽

Zhanbing Guo

Keyword(s):

Least Squares ◽

Fixed Points ◽

Dynamic Characteristics ◽

Complex Dynamics ◽

Recursive Least Squares ◽

Game Model ◽

Complex Dynamic ◽

Service Market ◽

The Real ◽

Price Game

Considering that the real competitions in service market contain two important factors, price and service, we build a dynamical price and service game model and study the complex dynamics of this bivariate game. Some special properties about the adjustment of service are noted by comparing our innovative bivariate game model with previous univariate game model. Besides, we discuss the stabilities of fixed points and compare the price and service game with price game. What is more, the recursive least-squares (RLS) estimation is introduced to substitute naive estimation; then the impacts of RLS estimation are studied by comparing it with naive estimation.

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Dynamic characteristics of coupling shaft system in tufting machine based on the Riccati whole transfer matrix method

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406216642479 ◽

2016 ◽

Vol 231 (2) ◽

pp. 356-371 ◽

Cited By ~ 3

Author(s):

Shuang Huang ◽

Xinfu Chi ◽

Yang Xu ◽

Yize Sun

Keyword(s):

Transfer Matrix ◽

Dynamic Characteristics ◽

Transfer Matrix Method ◽

Matrix Method ◽

Natural Frequencies ◽

Mode Shapes ◽

Complex Dynamic ◽

Rotor Systems ◽

Machine Type ◽

Shaft System

Focusing on tufting machine type DHUN801D-400, the complex dynamic model of coupling shaft system is built by using Riccati whole transfer matrix method, and the natural frequencies and mode shapes are analyzed. First, the components of coupling shafts system in tufting machine are introduced. Second, the structures of coupling shafts system are discretized and simplified. Third, the transfer matrix is constructed, the model is solved by using Riccati whole transfer matrix method, and then natural frequencies and mode shapes are obtained. Finally, the experimental results are quoted to demonstrate the applicability of the model. The results indicate that the Riccati whole transfer matrix method is well applicable for modeling the dynamics of complex multi-rotor systems.

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A multiple constraints modified artificial potential field algorithm for complex dynamic environment

2019 Chinese Automation Congress (CAC) ◽

10.1109/cac48633.2019.8996735 ◽

2019 ◽

Author(s):

Yongdan Li ◽

Chaobo Chen ◽

Tianli Ma ◽

Hongli Wei ◽

Qiongnan Yang ◽

...

Keyword(s):

Potential Field ◽

Dynamic Environment ◽

Artificial Potential Field ◽

Multiple Constraints ◽

Complex Dynamic

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Simulation of the Dynamic Characteristics of the Coupled System Structure

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.71-78.1507 ◽

2011 ◽

Vol 71-78 ◽

pp. 1507-1510 ◽

Cited By ~ 2

Author(s):

Dong Wang ◽

Shi Qiao Gao ◽

Michael Kasperski ◽

Hai Peng Liu ◽

Lei Jin

Keyword(s):

Dynamic System ◽

Natural Frequency ◽

Dynamic Characteristics ◽

Human Body ◽

Coupled System ◽

System Structure ◽

Complex Dynamic ◽

Complex Dynamic System

The human body forms a complex dynamic system with more than one natural frequency and provides considerable damping capacities. Therefore, the coupled system of a structure and the occupants can hardly be described with its basic dynamic characteristics considering only the mass of the occupants. Depending on the natural frequency of the empty structure, the human body dominantly acts like a mass, a mass and a damper or a damper. If the natural frequency of the empty stand increases 3 Hz, the human body induces considerable damping into the coupled system. In the limit, the dynamic characteristics can be described based on the average values of the characteristics of the human body.

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Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application

Complexity ◽

10.1155/2019/4047957 ◽

2019 ◽

Vol 2019 ◽

pp. 1-18 ◽

Cited By ~ 22

Author(s):

Fei Yu ◽

Li Liu ◽

Binyong He ◽

Yuanyuan Huang ◽

Changqiong Shi ◽

...

Keyword(s):

Embedded System ◽

Active Control ◽

Dynamic Characteristics ◽

Secure Communication ◽

Initial Conditions ◽

Random Number Generation ◽

Phase Portraits ◽

Hyperchaotic System ◽

Complex Dynamic ◽

Memristive System

By introducing a flux-controlled memristor with quadratic nonlinearity into a 4D hyperchaotic system as a feedback term, a novel 5D hyperchaotic four-wing memristive system (HFWMS) is derived in this paper. The HFWMS with multiline equilibrium and three positive Lyapunov exponents presented very complex dynamic characteristics, such as the existence of chaos, hyperchaos, limit cycles, and periods. The dynamic characteristics of the HFWMS are analyzed by using equilibria, phase portraits, poincare map, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy. Of particular interest is that this novel system can generate two-wing hyperchaotic attractor under appropriate parameters and initial conditions. Moreover, the FPGA realization of the novel 5D HFWMS is reported, which prove that the system has complex dynamic behavior. Finally, synchronization of the 5D hyperchaotic system with different structures by active control and a secure signal masking application of the HFWMS are implemented based on numerical simulations and FPGA. This research demonstrates that the hardware-based design of the 5D HFWMS can be applied to various chaos-based embedded system applications including random number generation, cryptography, and secure communication.

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The Influences of Asymmetric Market Information on the Dynamics of Duopoly Game

Mathematics ◽

10.3390/math8071132 ◽

2020 ◽

Vol 8 (7) ◽

pp. 1132 ◽

Cited By ~ 1

Author(s):

Sameh S. Askar

Keyword(s):

Asymmetric Information ◽

Dynamic Characteristics ◽

Equilibrium Points ◽

Flip Bifurcation ◽

Complex Dynamic ◽

Gradient Based ◽

Different Shapes ◽

Attraction Basins ◽

The Stability ◽

Periodic Cycles

We investigate the complex dynamic characteristics of a duopoly game whose players adopt a gradient-based mechanism to update their outputs and one of them possesses in some way certain information about his/her opponent. We show that knowing such asymmetric information does not give any advantages but affects the stability of the game’s equilibrium points. Theoretically, we prove that the equilibrium points can be destabilized through Neimark-Sacker followed by flip bifurcation. Numerically, we prove that the map describing the game is noninvertible and gives rise to several stable attractors (multistability). Furthermore, the dynamics of the map give different shapes of quite complicated attraction basins of periodic cycles.

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