Complexity

Dynamics of Piecewise Systems: Bifurcations, Chaos, and Applications in Science and Engineering


Publishing date
01 Dec 2021
Status
Closed
Submission deadline
13 Aug 2021

Lead Editor

1Instituto Potosino de Investigación Científfica y Tecnológica, San Luis Potosi, Mexico

2Instituto Tecnológico de Tijuana, Tijuana, Mexico

3Universidad Politécnica de Madrid, Madrid, Spain

This issue is now closed for submissions.
More articles will be published in the near future.

Dynamics of Piecewise Systems: Bifurcations, Chaos, and Applications in Science and Engineering

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Piecewise functions are common in the mathematical modelling of various systems, including mechanical and electronic devices, demography and economy, and robotics and control equipment. Many studies of piecewise systems are addressed towards the analysis of their solutions using well-structured traditional and non-conventional techniques. In particular, stable and structurally stable solutions (robust stability), limit cycles, and strange attractors have been found in a wide variety of systems, including population dynamics, predator-prey models, disease models, human organs and health models, circuit design, mechanical systems, control and automation, neural networks, and Petri net design. Among other dynamical behaviours, chaos has also been extensively studied in piecewise systems in recent years.

Bifurcation theory is often applied in the study of oscillatory solutions. In addition, new methods for studying bifurcations in piecewise systems, for example, in Liénard and fuzzy systems, have been developed, including the use of mathematical models with uncertainties. In particular, in Mamdani fuzzy systems, logic design is equivalent to a saturated control system. In this sense, the fuzzy system theory can be used to generate a periodic motion (limit cycle) and strange attractors.

The main goal of this Special Issue is to publish results devoted to the development of theoretical models and application of piecewise dynamical systems in different fields of science and engineering. Authors are encouraged to submit original research or review articles on traditional and new research directions in the field of complex piecewise dynamical systems.

Potential topics include but are not limited to the following:

  • Piecewise nonlinear systems
  • Piecewise control systems
  • Stability and robust stability of piecewise systems
  • Chaos in piecewise systems
  • Bifurcations in piecewise systems
  • Piecewise linear unstable and dissipative systems
  • Sectorial control systems
  • Mathematical fuzzy modelling and control
  • Saturation and relay controllers
  • Sliding mode control for piecewise systems
  • Liénard systems
  • Limit cycle generation in piecewise systems
  • Modelling and control of electromechanical systems
  • Modelling and control of biological systems
  • Piecewise systems in industrial processes and manufacturing problems
  • Application of piecewise systems in automotive engineering and avionics
  • Piecewise communication and transportation network systems
  • Piecewise robotic systems

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 5623783
  • - Research Article

Principle of Limiting Factors-Driven Piecewise Population Growth Model I: Qualitative Exploration and Study Cases on Continuous-Time Dynamics

Héctor A. Echavarria-Heras | Cecilia Leal-Ramírez | ... | Elia Montiel-Arzate
  • Special Issue
  • - Volume 2021
  • - Article ID 4249106
  • - Research Article

Cooperation-Based Modeling of Sustainable Development: An Approach from Filippov’s Systems

Jorge A. Amador | Johan Manuel Redondo | ... | Christian Erazo
  • Special Issue
  • - Volume 2021
  • - Article ID 5559913
  • - Research Article

Emergence of Hidden Attractors through the Rupture of Heteroclinic-Like Orbits of Switched Systems with Self-Excited Attractors

R. J. Escalante-González | Eric Campos
  • Special Issue
  • - Volume 2021
  • - Article ID 9913114
  • - Research Article

Mamdani-Type Fuzzy-Based Adaptive Nonhomogeneous Synchronization

J. R. Pulido–Luna | J. A. López–Rentería | N. R. Cazarez–Castro
  • Special Issue
  • - Volume 2021
  • - Article ID 9037271
  • - Research Article

Proposing and Dynamical Analysis of a Hyperjerk Piecewise Linear Chaotic System with Offset Boostable Variable and Hidden Attractors

M. D. Vijayakumar | Sajjad Shaukat Jamal | ... | Iqtadar Hussain
  • Special Issue
  • - Volume 2021
  • - Article ID 5499538
  • - Research Article

Analytic Study of a Novel Color Image Encryption Method Based on the Chaos System and Color Codes

Shamsa Kanwal | Saba Inam | ... | Habib Hamam
  • Special Issue
  • - Volume 2021
  • - Article ID 5529282
  • - Research Article

A New 4D Piecewise Linear Multiscroll Chaotic System with Multistability and Its FPGA-Based Implementation

Faqiang Wang | Hongbo Cao | Dingding Zhai
  • Special Issue
  • - Volume 2021
  • - Article ID 5518633
  • - Research Article

A New Megastable Chaotic Oscillator with Blinking Oscillation terms

Dhinakaran Veeman | Hayder Natiq | ... | Iqtadar Hussain
  • Special Issue
  • - Volume 2021
  • - Article ID 5560538
  • - Research Article

A Stochastic Switched Epidemic Model with Two Epidemic Diseases

Amine El Koufi | Abdelkrim Bennar | Noura Yousfi
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