STABLE EQUILIBRIUM 3D GENERATOR
STABLE EQUILIBRIUM 3D SOFTWARE
STABLE EQUILIBRIUM 3D CODE
STABLE EQUILIBRIUM 3D SERIES

STABLE EQUILIBRIUM 3D GENERATOR

Based on the results obtained in Matlab-Simulink and LabVIEW models, a chaotic signal generator for the 6D chaotic system is implemented in the MultiSim environment. An active control method is extended to achieve global chaotic synchronization of two identical novel 6D chaotic systems with unknown system parameters. The fractional Kaplan-York dimension indicates the fractal structure of strange attractors.

The presence of two positive Lyapunov exponents demonstrates the hyperchaotic behavior of the system. For the fixed system's parameters, the spectrum of Lyapunov exponents and the Kaplan-York dimension are calculated.

STABLE EQUILIBRIUM 3D SOFTWARE

The objective of this study aims at using the Matlab-Simulink environment and the LabVIEW software environment to build computer models of a six-dimensional (6D) chaotic dynamic system. file in the program software Arduino IDE allows us to simulate a 6D chaotic system using the Arduino Uno microcontroller in the Proteus 8 environment.

STABLE EQUILIBRIUM 3D CODE

The program code was debugged into the free Arduino simulation environment such as Tinkercad. The programming code and connecting technique are also shown. A discrete 6D system was applied for the chaotic masking of a narrow-band harmonic signal and image encryption.įor visualizing and practical realization of the new chaotic discrete system we used Arduino Uno board and six light-emitting diodes (LEDs). To demonstrate the synchronization of two unidirectional connected continuous and discrete 6D systems, Simulink models were proposed. In the Matlab-Simulink environment, models for continuous and discrete 6D systems of equations were created, and the results were identical. We have obtained a discrete 6D chaotic system by the Euler method from a continuous 6D system of dynamic equations. P>In this paper, to demonstrate the chaotic behavior of a new 6D discrete system, the modern Matlab-Simulink software environment was used.

Furthermore, the numerical solution of RFDE on the economic growth model is presented at the end of this work. The results showed that the RFDE solution on the economic growth model using the combined ADM and KIT showed a very good performance. The final result of this study is to find a solution of the RFDE approach to the economic growth model with a quadratic cost function using the combined ADM and KIT.

STABLE EQUILIBRIUM 3D SERIES

In addition, the terms of an infinite polynomial series can be decomposed using ADM, which assumes that a function can be decomposed into an infinite polynomial series and nonlinear operators can be decomposed into an Adomian polynomial series. Furthermore, the combined theorem of the Adomian Decomposition Method (ADM) and Kamal’s Integral Transform (KIT) is used to convert the solution of the Fractional Differential Equation (FDE) into an infinite polynomial series. This theorem is the uniqueness theorem of a fixed point on a contraction mapping of a norm space. This work proposes and investigates the existence and uniqueness of solutions of Riccati Fractional Differential Equation (RFDE) with constant coefficients using Banach’s fixed point theorem. Experimental results demonstrate the efficiency of the presented encryption mechanism, whose outcomes suggest promising applications for our chaotic system in various cryptographic applications. Consequently, we utilize the properties of our chaotic system in designing a new cipher colour image mechanism. The new multi-stable chaotic system is simulated on a field-programmable gate array (FPGA) by applying two numerical methods, showing results in good agreement with numerical simulations. A circuit model using MultiSim of the new 3-D chaotic model is designed for engineering applications. The new nonlinear plant shows multi-stability and coexisting convergent attractors. A detailed dynamic analysis of the new chaotic model using bifurcation diagrams and entropy analysis is described. Since the new chaotic system has infinite number of rest points, the new chaotic model exhibits hidden attractors. A new 3-D chaotic dynamical system with a peanut-shaped closed curve of equilibrium points is introduced in this work.

Stable equilibrium 3d