Bifurcation and Periodic Solutions in Memristive Hyperchaotic System | Zendy

Xiaoyun Zhong | Zendy; Minfang Peng | Zendy; Mohammad Shahidehpour | Zendy; Shangjiang Guo | Zendy

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Bifurcation and Periodic Solutions in Memristive Hyperchaotic System

Author(s) -

Xiaoyun Zhong,

Minfang Peng,

Mohammad Shahidehpour,

Shangjiang Guo

Publication year - 2018

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2018.2829207

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

This paper is devoted to a memristive hyperchaotic system. Different from some the existing literature, we derive analytically, under appropriate conditions, the stability and the analytic expression of the Hopf bifurcation by employing center manifold theorem. The system shows dynamics including equilibrium set with one or three elements, Lyapunov exponents with different signs, such as (0, 0, 0, -), (+, 0, -, -), (+, 0, 0, -), and (+, +, 0, -), by varying only one parameter. Moreover, the coexistence of multiple hyperchaotic attractors is observed. Some simulation examples are presented to illustrate our theoretical results.

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