Complexity

Complexity, Dynamics, Control, and Applications of Nonlinear Systems with Multistability


Publishing date
01 May 2020
Status
Published
Submission deadline
03 Jan 2020

Lead Editor

1Phenikaa University, Hanoi, Vietnam

2Vel Tech University, Chennai, India

3Lodz University of Technology, Lodz, Poland


Complexity, Dynamics, Control, and Applications of Nonlinear Systems with Multistability

Description

Multistability is a critical property of nonlinear dynamical systems, where a variety of behaviors such as coexisting attractors can appear for the same parameters, but different initial conditions. The flexibility in the system’s performance can be archived without changing parameters. Complex dynamics have been observed in multistable systems, and we have witnessed systems with multistability in numerous fields ranging across physics, biology, chemistry, electronics, and mechanics, as well as reported applications in oscillators and secure communications. It is now well established from a variety of studies that multistable systems are very sensitive to both random noise and perturbations, and numerous studies such as open-loop control, feedback control, adaptive control, intelligent control, and stochastic control have been attempted to control such systems.

Recent attention has focused more on extraordinary cases of systems with multistability, such as systems with megastability and extreme multistability. A megastability system can display a countable infinity of coexisting attractors, whereas an extreme multistability system can exhibit an uncountable infinity of coexisting attractors. However, there are still various theoretical and technical issues which should be investigated in such systems. Circuit design (numerical and hardware) of multistable systems is also a related research problem with real-world applications, and fractional order modeling and realization of multistable systems constitute also a complex and challenging task. Furthermore, circuit realizations (simulations and hardware design) of multistable systems are useful for various practical applications in engineering.

This special issue aims to introduce and discuss novel results, control techniques, and circuit simulations for complex nonlinear systems with multistability. We welcome original research and review articles relating to the themes of this special issue.

Potential topics include but are not limited to the following:

  • Advanced modeling approaches and analyses of nonlinear systems with multistability
  • Circuit realizations of multistable systems
  • Coexistence of attractors (self-excited and hidden ones)
  • Complex dynamics and extraordinary features of nonlinear systems with multistability
  • Complexity and estimation methods for applications in nonlinear systems with multistability
  • Fractional order modeling and control of multistable systems
  • Novel control and synchronization techniques for multistable systems
  • Numerical techniques for multistable systems
  • Practical multistable systems and potential applications
  • Secure communications using multistable systems

Articles

  • Special Issue
  • - Volume 2020
  • - Article ID 2340934
  • - Research Article

Symmetry Breaking, Coexisting Bubbles, Multistability, and Its Control for a Simple Jerk System with Hyperbolic Tangent Nonlinearity

Léandre Kamdjeu Kengne | Jacques Kengne | ... | Hervé Thierry Kamdem Tagne
  • Special Issue
  • - Volume 2020
  • - Article ID 6487873
  • - Research Article

An Efficient and Cost-Effective Power Scheduling in Zero-Emission Ferry Ships

Armin Letafat | Mehdi Rafiei | ... | Mohammad Hassan Khooban
  • Special Issue
  • - Volume 2020
  • - Article ID 7134869
  • - Research Article

Dynamic Analysis of a Heterogeneous Diffusive Prey-Predator System in Time-Periodic Environment

Chuanjun Dai | He Liu | ... | Min Zhao
  • Special Issue
  • - Volume 2020
  • - Article ID 7832489
  • - Research Article

Multistable Systems with Hidden and Self-Excited Scroll Attractors Generated via Piecewise Linear Systems

R. J. Escalante-González | Eric Campos
  • Special Issue
  • - Volume 2020
  • - Article ID 6280313
  • - Research Article

The Diffusive Model for West Nile Virus on a Periodically Evolving Domain

Abdelrazig K. Tarboush | Zhengdi Zhang
  • Special Issue
  • - Volume 2020
  • - Article ID 7893451
  • - Research Article

Control of Near-Grazing Dynamics in the Two-Degree-of-Freedom Vibroimpact System with Symmetrical Constraints

Zihan Wang | Jieqiong Xu | ... | Quan Yuan
  • Special Issue
  • - Volume 2020
  • - Article ID 1891273
  • - Research Article

Data-Driven Learning-Based Fault Tolerant Stability Analysis

Lei Ge | Shun Chen
  • Special Issue
  • - Volume 2020
  • - Article ID 8034196
  • - Research Article

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Fei Yu | Li Liu | ... | Qiuzhen Wan
  • Special Issue
  • - Volume 2020
  • - Article ID 8375324
  • - Research Article

Global Dynamics of the Chaotic Disk Dynamo System Driven by Noise

Chunsheng Feng | Lijie Li | ... | Zhouchao Wei
  • Special Issue
  • - Volume 2020
  • - Article ID 5212601
  • - Research Article

CCII and FPGA Realization: A Multistable Modified Fourth-Order Autonomous Chua’s Chaotic System with Coexisting Multiple Attractors

Fei Yu | Hui Shen | ... | Quan Xu
Complexity
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Acceptance rate11%
Submission to final decision127 days
Acceptance to publication19 days
CiteScore4.400
Journal Citation Indicator0.720
Impact Factor2.3
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