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- Title
A New Hyperchaotic System with Exponential Function Non Linearity: Dynamical Properties, Control Hyperchaos and Complete Synchronization Study.
- Authors
Meskine, Rayene Abir; Kaouache, Smail; Aybar, Orhan Ozgur
- Abstract
In this paper, we construct a new 4 - D hyperchaotic system with a nonlinear term in the form of an exponential function. The system is derived from a modified 3 - D Lü system. Firstly, we discuss the qualitative properties of the proposed system, using tools such as hyperchaotic attractors, symmetry, dissipation, equilibrium points, and Lyapunov spectrum for analysis. Next, we present an adaptive controller for stability analysis of the system. An active controller is designed to achieve complete synchronization between two identical systems. All stability results are established using Lyapunov stability theory. Finally, numerical examples and computer simulations are provided to illustrate the main results.
- Subjects
STABILITY theory; LYAPUNOV stability; SYNCHRONIZATION; NONLINEAR systems; SPECTRUM analysis; EXPONENTIAL functions; LORENZ equations
- Publication
IAENG International Journal of Applied Mathematics, 2024, Vol 54, Issue 7, p1329
- ISSN
1992-9978
- Publication type
Article