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 5681703
  • - Research Article

Nonlinear Dynamics and Power Generation on a New Bistable Piezoelectric-Electromagnetic Energy Harvester

Minghui Yao | Pengfei Liu | Hongbo Wang
  • Special Issue
  • - Volume 2020
  • - Article ID 8510930
  • - Editorial

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

Viet-Thanh Pham | Sundarapandian Vaidyanathan | Tomasz Kapitaniak
  • Special Issue
  • - Volume 2020
  • - Article ID 6182183
  • - Research Article

Coexistence of Multiple Points, Limit Cycles, and Strange Attractors in a Simple Autonomous Hyperjerk Circuit with Hyperbolic Sine Function

M. Fouodji Tsotsop | J. Kengne | ... | Z. Tabekoueng Njitacke
  • Special Issue
  • - Volume 2020
  • - Article ID 1230804
  • - Research Article

Analyses and Encryption Implementation of a New Chaotic System Based on Semitensor Product

Rui Wang | Peifeng Du | ... | Hui Sun
  • Special Issue
  • - Volume 2020
  • - Article ID 9531431
  • - Research Article

A Luenberger-Like Observer for Multistable Kapitaniak Chaotic System

J. Humberto Pérez-Cruz | Jacobo Marcos Allende Peña | ... | Salvador Isidro Belmonte Jiménez
  • Special Issue
  • - Volume 2020
  • - Article ID 2935192
  • - Research Article

A Fractional-Order Discrete Noninvertible Map of Cubic Type: Dynamics, Control, and Synchronization

Xiaojun Liu | Ling Hong | ... | Dafeng Tang
  • Special Issue
  • - Volume 2020
  • - Article ID 1987670
  • - Research Article

Parallel Encryption of Noisy Images Based on Sequence Generator and Chaotic Measurement Matrix

Jiayin Yu | Yaqin Xie | ... | Erfu Wang
  • Special Issue
  • - Volume 2020
  • - Article ID 9846934
  • - Research Article

Circuit Realization of a 3D Multistability Chaotic System and Its Synchronization via Linear Resistor and Linear Capacitor in Parallel Coupling

Xikui Hu | Ping Zhou
  • Special Issue
  • - Volume 2020
  • - Article ID 2069614
  • - Research Article

Complexity Analysis of a 3-Player Game with Bounded Rationality Participating in Nitrogen Emission Reduction

Jixiang Zhang | Xuan Xi
  • Special Issue
  • - Volume 2020
  • - Article ID 2408460
  • - Research Article

Heterogeneous and Homogenous Multistabilities in a Novel 4D Memristor-Based Chaotic System with Discrete Bifurcation Diagrams

Lilian Huang | Wenju Yao | ... | Zefeng Zhang
Complexity
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Acceptance rate43%
Submission to final decision64 days
Acceptance to publication35 days
CiteScore3.200
Impact Factor2.462
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