STUDY AND DESIGN OF CHAOTIC OSCILLATORS USING ACTIVE BUILDING BLOCKS

Abstract

For a long time, people have captured by and continued to study chaotic circuits because of their detailed and unpredictable nature. This exploration reviews chaotic circuits, covering their core concepts, how they are used and the consequences of using them. We explore how the main theories behind chaotic behavior are explained by how feedback loops and nonlinearity add to these electrical system dynamics. Several circuit topologies known for their chaotic behavior, for example the Lorenz system and Chua’s circuit and their corresponding representing mathematical models are covered in the article. In addition, we study how chaotic circuits are use in several fields, including optimization strategies, generating numbers randomly and secure communications. Nonlinear components in the equations that manage chaos cause the system’s results to be complex. Several types of nonlinearities found in chaotic systems are quadratic, exponential and hyperbolic. Typically, a chaotic system is defined by equations involving nonlinear terms and by adding, subtracting and scaling variables. In hardware for chaotic systems, operational amplifiers (Opamps) are used as common active elements. Since these current mode active blocks can pass signals of both current and voltage, their designs are often more compact.