Complexity 2019:1-14 (2019)
AbstractIn the present contribution, an asymmetric central contraction mutation model is proposed to enhance the Ikeda time delay system. The modified Ikeda system model is designed by introducing a superimposed tanh function term into the sine nonlinearity term. Stability and Hopf bifurcation characteristics of the system are analyzed theoretically. Numerical simulations, carried out in terms of bifurcation diagrams, Lyapunov exponents spectrum, phase portraits, and two-parameter largest Lyapunov exponent diagrams are employed to highlight the complex dynamical behaviors exhibited by the enhanced system. The results indicate that the modified system has rich dynamical behaviors including limit cycle, multiscroll hyperchaos, chaos, and hyperchaos. Moreover, as a major outcome of this paper, considering the fragile chaos phenomenon, the ACCM-Ikeda time delay system has better dynamical complexity and larger connected chaotic parameter spaces.
Added to PP
Historical graph of downloads
Sorry, there are not enough data points to plot this chart.
Similar books and articles
Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application.Fei Yu, Li Liu, Binyong He, Yuanyuan Huang, Changqiong Shi, Shuo Cai, Yun Song, Sichun Du & Qiuzhen Wan - 2019 - Complexity 2019:1-18.
Stability and Bifurcation for a Single-Species Model with Delay Weak Kernel and Constant Rate Harvesting.Xiangrui Li & Shuibo Huang - 2019 - Complexity 2019:1-17.
The Gestation Delay: A Factor Causing Complex Dynamics in Gause-Type Competition Models.Zizhen Zhang, Ranjit Kumar Upadhyay, Rashmi Agrawal & Jyotiska Datta - 2018 - Complexity 2018:1-21.
New Stability Criteria for Event-Triggered Nonlinear Networked Control System with Time Delay.Hongqian Lu, Yue Hu, Chaoqun Guo & Wuneng Zhou - 2019 - Complexity 2019:1-13.
PDϑ Control Strategy for a Fractional-Order Chaotic Financial Model.Changjin Xu, Maoxin Liao, Peiluan Li, Qimei Xiao & Shuai Yuan - 2019 - Complexity 2019:1-14.
Impact of Time Delay in Perceptual Decision-Making: Neuronal Population Modeling Approach.Urszula Foryś, Natalia Z. Bielczyk, Katarzyna Piskała, Martyna Płomecka & Jan Poleszczuk - 2017 - Complexity 2017:1-14.
Nonlinearity and Metaphysical Emergence.Jessica M. Wilson - 2013 - In Stephen Mumford & Matthew Tugby (eds.), Metaphysics and Science.
A New 4D Chaotic System with Two-Wing, Four-Wing, and Coexisting Attractors and Its Circuit Simulation.Lilian Huang, Zefeng Zhang, Jianhong Xiang & Shiming Wang - 2019 - Complexity 2019:1-13.
Complex Dynamical Behaviors of a Fractional-Order System Based on a Locally Active Memristor.Yajuan Yu, Han Bao, Min Shi, Bocheng Bao, Yangquan Chen & Mo Chen - 2019 - Complexity 2019:1-13.
Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter.Jing Wang, Shaojuan Ma, Peng Hao & Hehui Yuan - 2019 - Complexity 2019:1-12.
Stability and Hopf Bifurcation in a Three-Component Planktonic Model with Spatial Diffusion and Time Delay.Kejun Zhuang, Gao Jia & Dezhi Liu - 2019 - Complexity 2019:1-17.
Dynamical Behaviors of the Chaotic Brushless DC Motors Model.Fuchen Zhang, Min da LinXiao & Huanrong Li - 2016 - Complexity 21 (4):79-85.
A Theoretical Approach On Controlling Agricultural Pest By Biological Controls.Prasanta Kumar Mondal, Soovoojeet Jana & T. K. Kar - 2014 - Acta Biotheoretica 62 (1):47-67.
Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers.Ting Li, Dongyun Yan & Xiaogang Ma - 2019 - Complexity 2019:1-13.
Dynamical Systems on Monoids. Toward a General Theory of Deterministic Systems and Motion.Marco Giunti & Claudio Mazzola - 2012 - In Gianfranco Minati, Mario Abram & Eliano Pessa (eds.), Methods, Models, Simulations and Approaches towards a General Theory of Change. Singapore: World Scientific. pp. 173-186.