Abstract
This paper presents a new three-dimensional continuous autonomous chaotic system with ten terms and three quadratic nonlinearities. The new system contains five variational parameters and exhibits Lorenz and Rossler like attractors in numerical simulations. The basic dynamical properties of the new system are analyzed by means of equilibrium points, eigenvalue structures. Some of the basic dynamic behavior of the system is explored further investigation in the Lyapunov Exponent. The new system examined in Matlab-Simulink and Orcad-PSpice. An electronic circuit realization of the proposed system is presented using analog electronic elements such as capacitors, resistors, operational amplifiers and multipliers.
Highlights
The science of nonlinear dynamics and chaos theory has sparked many researchers to develop mathematical models that simulate vector fields of nonlinear chaotic physical systems
This paper presents a new three-dimensional continuous autonomous chaotic system with ten terms and three quadratic nonlinearities
This paper propose a new chaotic system based on adding two chaotic system (Lorenz and Rosslere) and it compares the results with the chaotic system and an electronic circuit realization of the proposed system is presented using analog electronic elements, The remainder of the paper is organized as follows: Section 2 discusses the proposal of a new chaotic system and its analysis, section 3 present deal with circuit realization of the new attractor and section 4 discusses and examines a new scheme [4]
Summary
The science of nonlinear dynamics and chaos theory has sparked many researchers to develop mathematical models that simulate vector fields of nonlinear chaotic physical systems. Nonlinear phenomena arise in all fields of engineering, physics, chemistry, biology, economics, and sociology. Examples of nonlinear chaotic systems include planetary climate prediction models, neural network models, data compression, turbulence, nonlinear dynamical economics, information processing, preventing the collapse of power systems, high-performance circuits and devices, and liquid mixing with low power consumption [1,2,3]. The Lorenz equations are a fairly simple model in which to study chaos [3]. The Rossler system has only one quadratic nonlinearity xz numerical integration shows that this system has a strange attractor for a = b= 0.2, c = 5.7 [2]. This paper propose a new chaotic system based on adding two chaotic system (Lorenz and Rosslere) and it compares the results with the chaotic system and an electronic circuit realization of the proposed system is presented using analog electronic elements, The remainder of the paper is organized as follows: Section 2 discusses the proposal of a new chaotic system and its analysis, section 3 present deal with circuit realization of the new attractor and section 4 discusses and examines a new scheme [4]
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