Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit

المؤلفون المشاركون

Bao, Bocheng
Chen, Mo
Xu, Quan
Tan, Xiao
Zhang, Yunzhen
Bao, Han
Hu, Yihua

المصدر

Complexity

العدد

المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-13، 13ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2020-08-26

دولة النشر

مصر

عدد الصفحات

13

التخصصات الرئيسية

الفلسفة

الملخص EN

By coupling a diode bridge-based second-order memristor and an active voltage-controlled memristor with a capacitor, a three-element-based memristive circuit is synthesized and its system model is then built.

The boundedness of the three-element-based memristive circuit is theoretically proved by employing the contraction mapping principle.

Besides, the stability distributions of equilibrium points are theoretically and numerically expounded in a 2D parameter plane.

The results imply the memristive circuit has a zero unstable saddle focus and a pair of nonzero stable node-foci or unstable saddle-foci depending on the considered parameters.

The dynamical behaviors include point attractor, period, chaos, coexisting bifurcation mode, period-doubling bifurcation route, and crisis scenarios, which are explored using some common dynamical methods.

Of particular concern, riddled attraction basins and multistability are uncovered under two sets of specified model parameters nearing the tiny neighborhood of crisis scenarios by local attraction basins and phase plane plots.

The riddled attraction basins with island-like structure demonstrate that their dynamical behaviors are extremely sensitive to the initial conditions, resulting in the coexistence of limit cycles with period-2 and period-6, as well as the coexistence of period-1 limit cycles and single-scroll chaotic attractors.

Moreover, a feasible on-breadboard hardware circuit is manually made and the experimental measurements are executed, upon which phase plane trajectories for some discrete model parameters are captured to further confirm the numerically simulated ones.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Xu, Quan& Tan, Xiao& Zhang, Yunzhen& Bao, Han& Hu, Yihua& Bao, Bocheng…[et al.]. 2020. Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142000

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Xu, Quan…[et al.]. Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1142000

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Xu, Quan& Tan, Xiao& Zhang, Yunzhen& Bao, Han& Hu, Yihua& Bao, Bocheng…[et al.]. Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142000

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1142000