Much attention have been devoted to control of chaos in nonlinear system in the last few decades and several control procedures have been derived to find the stability target in difference and differential equations. In this study, a novel hybrid chaos control procedure is derived which allows to stabilize the chaos in most accepted discrete chaotic equations of population growth models about the globally accepted stable equilibrium. Since the system depends on the parameters , , and , the chaos in the given system may be stabilized in different fixed points states of order , when it is kicked with the parameter . From this point of view, the procedure is simple, flexible, and gives the advantage to take the numerous parameter values to reach the demanded stability in periodic states of order . This hybrid approach to control makes it novel as compared to existing methods. Further, we provide the geometrical interpretation followed by a few examples, control curves, bifurcation plots, time-series plots, and Lyapunov exponent to illustrate our numerical results.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10825301 | PMC |
| http://dx.doi.org/10.1016/j.heliyon.2024.e23984 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Asynchronous hybrid event- and time-triggered control of heterogeneous networks with communication time delays.
Chaos
March 2025
Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong 999077, China.
This paper addresses the asynchronous leader-following consensus problem for networked double-integrator systems. In practical engineering contexts, there are three key factors that must be considered significantly: (1) asynchronous hybrid event- and time-triggered control, where asynchrony affects event detection, event-triggered processes, and controller updates; (2) heterogeneous networks, wherein position and velocity information are governed by distinct, independent graphs; and (3) communication time delays arising from limited bandwidth and long-distance transmission. Due to the independence of these heterogeneous networks, edge events related to position and velocity information are defined separately.
View Article and Find Full Text PDFSecure and flexible image watermarking using IWT, SVD, and chaos models for robustness and imperceptibility.
Sci Rep
February 2025
Department of Computer Sciences, Abu Dhabi University, Abu Dhabi, 59911, United Arab Emirates.
The utilization of Singular Value Decomposition (SVD) is widespread in several image watermarking methods to attain a more favorable balance between the demands of watermarking. Nevertheless, SVD exhibits some limitations, including false positives, limited capacity, and security issues. In order to overcome these challenges, a new approach to image watermarking has been introduced, which utilizes a combination of Integer Wavelet Transform (IWT), SVD, and chaos models.
View Article and Find Full Text PDFImproving carbon dioxide emission predictions through a hybrid model utilising an advanced sparrow search algorithm.
Environ Technol
February 2025
School of Business, Central South University, Changsha, People's Republic of China.
The dramatic increase in carbon dioxide emissions is a major cause of global warming and climate change, posing a serious threat to human development and profoundly affecting the global ecosystem. Currently, carbon dioxide emissions prediction studies rely heavily on a large amount of data support, and the accuracy of predictions is greatly reduced when data are scarce. In addition, the inherent uncertainty, volatility, and complexity of CO2 emission data further exacerbate the challenge of accurate prediction.
View Article and Find Full Text PDFPattern Synthesis Design of Linear Array Antenna with Unequal Spacing Based on Improved Dandelion Optimization Algorithm.
Sensors (Basel)
January 2025
School of Physics and Electronic Information, Yunnan Normal University, Kunming 650500, China.
With the rapid development of radio technology and its widespread application in the military field, the electromagnetic environment in which radar communication operates is becoming increasingly complex. Among them, human radio interference makes radar countermeasures increasingly fierce. This requires radar systems to have strong capabilities in resisting electronic interference, anti-radiation missiles, and radar detection.
View Article and Find Full Text PDFNonsmooth folds as tipping points.
Chaos
February 2025
School of Mathematical and Computational Sciences, Massey University, Palmerston North 4410, New Zealand.
A nonsmooth fold occurs when an equilibrium or limit cycle of a nonsmooth dynamical system hits a switching manifold and collides and annihilates with another solution of the same type. We show that beyond the bifurcation, the leading-order truncation to the system, in general, has no bounded invariant set. This is proved for boundary equilibrium bifurcations of Filippov systems, hybrid systems, and continuous piecewise-smooth ordinary differential equations, and grazing-type events for which the truncated form is a continuous piecewise-linear map.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!