Mathematical Problems in Engineering

Chaotic Oscillators: Theory, Experiment, Control, and Applications 2021


Publishing date
01 Feb 2022
Status
Closed
Submission deadline
01 Oct 2021

Lead Editor

1Phenikaa University, Hanoi, Vietnam

2Vel Tech University, Chennai, India

3University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria

4University of Salento, Lecce, Italy

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

Chaotic Oscillators: Theory, Experiment, Control, and Applications 2021

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

Description

Oscillations have been observed in numerous areas of science and engineering. Some typical oscillations relate to pendulums, business cycles, and neural dynamics. Nonlinearities lead to complex behaviors of oscillations, in particular the chaotic dynamics, which received significant attention since 1963, when Lorenz observed experimental chaos in a nonlinear weather model. Chaotic oscillators exhibit rich dynamics and have been found in numerous engineering applications, including cryptography, encryption, secure communications, random signal generator, through-wall radar, and robotics.

Various chaotic oscillators have been reported in the literature in the last three decades. Meanwhile, there are many hot topics of interest in chaos literature. For instance, we have discovered new chaotic oscillators with special features (like multistability, megastability) and/or with novel phenomena (like hidden attractors, extremely large events). Experimental studies of oscillatory systems via simulations and circuits support us for understanding the modeling phenomena deeply, and also developing practical applications. Advanced techniques in different areas such as memristors, memristive devices, field programmable gate arrays‎ (FPGA), field-programmable analog arrays (FPAA), neural networks, and machine learning provide effective tools to study and implement chaotic oscillations. Moreover, there are still various challenging problems. For instance, there are still issues, in theory, experiments, control, as well as fractional-order chaotic models.

The aim of this Special Issue is to bring together original research articles discussing chaotic oscillators with modeling, bifurcation analysis, circuit design, or control applications. Review articles introducing the current state of the art are especially welcome.

Potential topics include but are not limited to the following:

  • Bifurcation analysis and qualitative study of chaotic systems
  • Chaotic oscillators and secure communications
  • Chaotic oscillations in fractional-order differential equations
  • Circuit design of chaotic oscillators
  • Control and synchronization of chaotic oscillations
  • Emerging technologies for implementing oscillators
  • Experimental chaotic oscillations in practical systems
  • Fractional-order chaotic oscillators and applications
  • Hyperchaotic oscillators and applications
  • Modeling, analysis and computational methods of chaotic oscillations
  • Practical applications of chaotic oscillations
  • Self-excited and hidden attractors in chaotic oscillators

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 2394931
  • - Research Article

Numerical Approximation of Blast Loads on Confined Dry-Stacked Masonry Wall

Muhammad Ishfaq | Azmat Ullah | ... | Khan Shahzada
  • Special Issue
  • - Volume 2021
  • - Article ID 7150739
  • - Research Article

Generalized Ulam–Hyers–Rassias Stability Results of Solution for Nonlinear Fractional Differential Problem with Boundary Conditions

A. Naimi | B. Tellab | ... | A. Moumen
  • Special Issue
  • - Volume 2021
  • - Article ID 4820771
  • - Research Article

Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation

Gabin Jeatsa Kitio | Cyrille Ainamon | ... | Justin Roger Mboupda Pone
  • Special Issue
  • - Volume 2021
  • - Article ID 8418008
  • - Research Article

Numerical Analysis of Stratified and Slug Flows

Saliha Nouri | Zouhaier Hafsia | ... | Baowei Feng
  • Special Issue
  • - Volume 2021
  • - Article ID 1952706
  • - Research Article

On Behavior of the Periodic Orbits of a Hamiltonian System of Bifurcation of Limit Cycles

Amor Menaceur | Mohamed Abdalla | ... | Ibrahim Mekawy
  • Special Issue
  • - Volume 2021
  • - Article ID 3101000
  • - Research Article

A Note on Small Amplitude Limit Cycles of Liénard Equations Theory

Yassine Bouattia | Djalil Boudjehem | ... | Sahar Ahmed Idris
  • Special Issue
  • - Volume 2021
  • - Article ID 2604874
  • - Research Article

FPGA Realization and Lyapunov–Krasovskii Analysis for a Master-Slave Synchronization Scheme Involving Chaotic Systems and Time-Delay Neural Networks

J. Perez-Padron | C. Posadas-Castillo | ... | M. A. Platas-Garza
  • Special Issue
  • - Volume 2021
  • - Article ID 6771261
  • - Research Article

Circuit Implementation Synchronization between Two Modified Fractional-Order Lorenz Chaotic Systems via a Linear Resistor and Fractional-Order Capacitor in Parallel Coupling

Juan Liu | Xuefeng Cheng | Ping Zhou
Mathematical Problems in Engineering
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Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.