This paper addresses the problem of robust adaptive control for synchronization of continuous-time coupled chaotic systems with uncertainties. A general model is studied using measured output state feedback control. An adaptive controller is designed based on a sliding mode control design. When only the output variable is measurable for synchronization, the adaptive controller is designed by incorporating with an observer. Two numerical examples are presented to show the effectiveness of the proposed chaos synchronization method.
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http://dx.doi.org/10.1103/PhysRevE.70.066217 | DOI Listing |
Langmuir
January 2025
CNNFM Lab, School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563 Tehran, Iran.
This study investigates the impact of cell dynamics on mixing efficiency within a microfluidic droplet, emphasizing the relationship between cell motion, deformability, and resultant asymmetry in velocity and concentration fields. Simulations were conducted for droplets containing encapsulated cells at varying Peclet numbers ( = 100-800) and coupling constants ( = 0.0025, 0.
View Article and Find Full Text PDFHeliyon
July 2024
Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj 8100, Bangladesh.
Qualitative analysis in mathematical modeling has become an important research area within the broad domain of nonlinear sciences. In the realm of qualitative analysis, the bifurcation method is one of the significant approaches for studying the structure of orbits in nonlinear dynamical systems. To apply the bifurcation method to the (2 + 1)-dimensional double-chain Deoxyribonucleic Acid system with beta derivative, the bifurcations of phase portraits and chaotic behaviors, combined with sensitivity and multi-stability analysis of this system, are examined.
View Article and Find Full Text PDFA high security physical layer encryption scheme for dual-mode orthogonal frequency division multiplexing with index modulation (DM-OFDM-IM) in magnetic induction communication is proposed. The scheme utilizes DM-OFDM-IM, where subcarriers within each subblock are divided into two groups, each modulated by distinct signal constellations. DM-OFDM-IM leverages the sequential information from the modulated constellation to transmit extra information, leading to a substantial enhancement in spectral efficiency.
View Article and Find Full Text PDFChaos
January 2025
Departamento de Física, Universidade Federal de Santa Catarina, Florianópolis 88040-900, Santa Catarina, Brazil.
The presence of chaos is ubiquitous in mathematical models of neuroscience. In experimental neural systems, chaos was convincingly demonstrated in membranes, neurons, and small networks. However, its effects on the brain have long been debated.
View Article and Find Full Text PDFISA Trans
January 2025
School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China.
Improving the flexible and deep peak shaving capability of supercritical (SC) unit under full operating conditions to adapt a larger-scale renewable energy integrated into the power grid is the main choice of novel power system. However, it is particularly challenging to establish an accurate SC unit model under large-scale variable loads and deep peak shaving. To this end, a data-driven modeling strategy combining Transformer-Extra Long (Transformer-XL) and quantum chaotic nutcracker optimization algorithm is proposed.
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