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Initial-condition-switched boosting extreme multistability and mechanism analysis in a memcapacitive Research Articles

Bei Chen, Quan Xu, Mo Chen, Huagan Wu, Bocheng Bao,mervinbao@126.com

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 11, Pages 1517-1531 doi: 10.1631/FITEE.2000622

Abstract: has seized scientists’ attention due to its rich diversity of dynamical behaviors and great flexibility in engineering applications. In this paper, a four-dimensional (4D) is built using four linear circuit elements and one nonlinear charge-controlled memcapacitor with a cosine inverse memcapacitance. The 4D possesses a line equilibrium set, and its stability periodically evolves with the initial condition of the memcapacitor. The 4D exhibits due to the periodically evolving stability. Complex dynamical behaviors of period doubling/halving bifurcations, chaos crisis, and initial-condition-switched coexisting attractors are revealed by bifurcation diagrams, Lyapunov exponents, and phase portraits. Thereafter, a reconstructed system is derived via integral transformation to reveal the forming mechanism of the in the . Finally, an implementation circuit is designed for the reconstructed system, and Power SIMulation (PSIM) simulations are executed to confirm the validity of the numerical analysis.

Keywords：超级多稳定性；初值切换调控；忆容振荡器；机理分析

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Chaotic dynamics of a fractional order glucose-insulin regulatory system Research Articles

Karthikeyan Rajagopal, Atiyeh Bayani, Sajad Jafari, Anitha Karthikeyan, Iqtadar Hussain,rkarthiekeyan@gmail.com,atiyeh.bayani@yahoo.com,sajad.jafari@tdtu.edu.vn,mrs.anithakarthikeyan@gmail.com,iqtadarqau@gmail.com

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 7, Pages 1108-1118 doi: 10.1631/FITEE.1900104

Abstract: The fractional order model of a glucose-insulin regulatory system is derived and presented. It has been extensively proved in the literature that fractional order analysis of complex systems can reveal interesting and unexplored features of the system. In our investigations we have revealed that the glucose-insulin regulatory system shows and in its fractional order form. To show the effectiveness of fractional order analysis, all numerical investigations like stability of the equilibrium points, Lyapunov exponents, and plots are derived. Various biological disorders caused by an unregulated glucose-insulin system are studied in detail. This may help better understand the regulatory system.

Keywords： Diabetes mellitus Chaos Bifurcation Multistability Antimonotonicity