This paper introduces a fractional order memristor no equilibrium (FOMNE) chaotic system and investigates its adaptive sliding mode synchronization. Firstly the dynamic properties of the integer order memristor no equilibrium system are analyzed. The fractional order memristor no equilibrium system is then derived from the integer order model. Lyapunov exponents and bifurcation with fractional order are investigated. An adaptive sliding mode control algorithm is derived to globally synchronize the identical fractional order memristor systems and genetically optimized fractional order PID controllers are designed and used to synchronize the FOMNE systems. Finally the fractional order memristor no equilibrium system is realized using FPGA.
Apoptosis is an active response of cells to altered microenvironments, which is characterized by cell shrinkage, chromatin condensation, and DNA fragmentation, in a variety of cell types such as renal epithelial cells, endothelial cells, mesangial cells, and podocytes. Hyperglycemia is among the microenvironmental factors that may facilitate apoptosis, which plays a decisive role in the initiation of diabetic nephropathy. Transforming growth factor-β emerges as a powerful fibrogenic factor in the development of renal hypertrophy. Although, a number of potential treatment strategies exist for diabetic nephropathy, considering the ease of use and bioavailability, phytochemicals stands distinct as the preeminent option. EGCG, a green tea catechin is one such phytochemical which possesses hypoglycemic and antifibrotic activity. The present study aims to explore the potential of EGCG to prevent apoptosis in a high-fat diet and STZ induced diabetic nephropathy rats by assessing renal function, pro-fibrotic marker, and the expression of apoptotic and antiapoptotic proteins. Our results validate EGCG as a potential antiapoptotic agent evidently by improving renal function via down regulating TGF-β, consequently ameliorating diabetic nephropathy. In accordance with this, EGCG might be regarded as a prospective therapeutic candidate in modulating diabetic nephropathy, thus being a promising treatment.
We announce a new 4D hyperchaotic system with four parameters. The dynamic properties of the proposed hyperchaotic system are studied in detail; the Lyapunov exponents, Kaplan-Yorke dimension, bifurcation, and bicoherence contours of the novel hyperchaotic system are derived. Furthermore, control algorithms are designed for the complete synchronization of the identical hyperchaotic systems with unknown parameters using sliding mode controllers and genetically optimized PID controllers. The stabilities of the controllers and parameter update laws are proved using Lyapunov stability theory. Use of the optimized PID controllers ensures less time of convergence and fast synchronization speed. Finally the proposed novel hyperchaotic system is realized in FPGA.
This paper deals with the dynamical analysis and chaos control in a fractional order synchronous reluctance motor (FOSyncRM). Equilibrium points, characteristic equations and Eigen values of both commensurate and incommensurate FOSyncRM are presented. finite‐time Lyapunov exponents of the FOSyncRM system for fixed and varied parameters are investigated along with the bifurcation plots. Fractional order bifurcation plots are derived to show that the system shows more complex chaotic oscillations in fractional order. Chaos control in the FOSyncRM system is achieved using adaptive sliding mode controllers and the entire control algorithm is implemented in FPGA.
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