FEEDBACK CONTROL OF A QUADRATIC MAP MODEL OF CARDIAC CHAOS

1996 ◽  
Vol 06 (04) ◽  
pp. 715-723 ◽  
Author(s):  
MICHAEL E. BRANDT ◽  
GUANRONG CHEN

This paper describes methods based on engineering feedback principles for controlling cardiac chaos modeled by a quadratic map. We first discuss briefly the linear approach which is effective at controlling the map to fixed point or near fixed point target trajectories. We then describe and demonstrate self-tuning methods that can control the chaotic orbits of the map to arbitrary period one, two, or three target trajectories. We conclude with a discussion comparing the merits of this approach to the OGY method used by Garfinkel et al. [1992] for control of complex rhythms in rabbit septal preparations, and to the flat-topped quadratic mapping method of Glass and Zeng [1994].

2021 ◽  
Vol 31 (10) ◽  
pp. 2150146
Author(s):  
Yuanyuan Si ◽  
Hongjun Liu ◽  
Yuehui Chen

As the only nonlinear component for symmetric cryptography, S-Box plays an important role. An S-Box may be vulnerable because of the existence of fixed point, reverse fixed point or short iteration cycles. To construct a keyed strong S-Box, first, a 2D enhanced quadratic map (EQM) was constructed, and its dynamic behaviors were analyzed through phase diagram, Lyapunov exponent, Kolmogorov entropy, bifurcation diagram and randomness testing. The results demonstrated that the state points of EQM have uniform distribution, ergodicity and better randomness. Then a keyed strong S-Box construction algorithm was designed based on EQM, and the fixed point, reverse fixed point, and short cycles were eliminated. Experimental results verified the algorithm’s feasibility and effectiveness.


1996 ◽  
Vol 54 (6) ◽  
pp. 6201-6206 ◽  
Author(s):  
Michael E. Brandt ◽  
Ahmet Ademoǧlu ◽  
Dejian Lai ◽  
Guanrong Chen

2018 ◽  
Vol 10 (0) ◽  
pp. 1-11
Author(s):  
Leonid Kladovščikov ◽  
Romualdas Navickas

Integrinių grandynų gamybos technologinių procesų paklaidos didina daugiastandarčių siųstuvų-imtuvų komponentų parametrų sklaidą ir blogina jų veiką, tad siekiama komponentų verčių nuokrypius kompensuoti. Pagrindiniai derinami parametrai yra tokie: siųstuvo ir imtuvo kvadratūrinių kanalų nuolatinės dedamosios, amplitudės ir fazės poslinkiai, antrosios eilės iškraipymai. Darbe išanalizuoti žinomi daugiastandarčių belaidžio ryšio siųstuvų-imtuvų derinimo būdai, jie suskirstyti į tiesioginio, netiesioginio ir grįžtamojo ryšio bei mišriuosius būdus. Ištirtos analoginės ir skaitmeninės modernių siųstuvų-imtuvų derinimo sistemos, atlikta jų privalumų ir trūkumų bei modernioms belaidžio ryšio sistemoms aktualių derinimo parametrų analizė.


2009 ◽  
Vol 69-70 ◽  
pp. 540-544
Author(s):  
Hong Jia ◽  
Yu Huai Wang ◽  
Yan Lin Lu

A quadratic mapping method based on curvature for mesh generation is presented in this paper. The method starts from the triangulation of 2D parametric surface by applying the Advancing Front Technique (AFT) and Delaunay Triangulation (DT) together with 3D feature information. Then 3D surface mapping from 2D elements is realized by quadratic mapping method with curvature measure information. After that, triangular mesh over 3D surface is automatically generated. Besides, graded mesh control strategy is discussed in the paper for the sake of generating mesh with higher quality. Finally, several application examples are given to show the characteristics of the presented method.


2020 ◽  
Vol 142 ◽  
pp. 112973 ◽  
Author(s):  
Maryam Mozaffari ◽  
Eslam Nazemi ◽  
Amir Masoud Eftekhari-Moghadam

Sign in / Sign up

Export Citation Format

Share Document