A Simple Autonomous Chaotic Circuit With Dead-Zone Nonlinearity
Ning Wang, Guoshan Zhang, Han Bao
Abstract
This brief proposes a simple autonomous chaotic circuit based on minimum discrete component implementation. First, the circuit employs only five discrete components, including one op-amp, one resistor, one inductor, and two capacitors. Second, the circuit equations have six linear terms and one invariant dead-zone nonlinearity. Third, the circuit is robust stand-alone and has the most common implementation. The comprehensive dynamical behaviors are analyzed by using two-parameter bifurcation diagrams, Lyapunov exponents, and phase plots. The experimental demonstrations validated the analyses.
Topics & Concepts
Lyapunov exponentChaoticControl theory (sociology)Nonlinear systemResistorBifurcationCapacitorBifurcation diagramSimple (philosophy)Invariant (physics)MathematicsComputer scienceInductorTopology (electrical circuits)EngineeringPhysicsVoltageControl (management)Electrical engineeringCombinatoricsArtificial intelligenceQuantum mechanicsPhilosophyMathematical physicsEpistemologyChaos control and synchronizationNeural Networks and Applicationsstochastic dynamics and bifurcation