A Simple Chaotic Circuit with Impulsive Switch Depending on Time and State
نویسندگان
چکیده
This paper presents a simple chaotic circuit consisting of two capacitors, one linear two-port VCCS and one time-state-controlled impulsive switch. The impulsive switch causes rich chaotic and periodic behavior. The circuit dynamics can be simplified into a one-dimensional return map that is piecewise linear and piecewise monotone. Using the return map, we clarify parameter conditions for chaotic attractors, periodic attractors and coexistence state of attractors.
منابع مشابه
A Simple Nonautonomous Chaotic Spiking Circuit with a Refractory Threshold
This letter studies a simple nonautonomous chaotic circuit constructed by adding an impulsive switch to the RCL circuit. The switch operation depends on time and on state variable through a refractory threshold. The circuit exhibits various chaotic attractors, periodic attractors and related bifurcation phenomena. The dynamics can be analyzed using 1-D return map focusing on the time-dependent ...
متن کاملComplicated superstable periodic behavior in piecewise constant circuits with impulsive excitation
Abstract—This paper studies piecewise constant circuits with an impulsive switch. Since vector field of the circuit equation is piecewise constant, the trajectories are piecewise linear : it is well suited for precise analysis. First, we consider the autonomous case. The switch is controlled by a state and the circuits can exhibit chaotic behavior. Second, we consider the non-autonomous case. T...
متن کاملA Simple Chaotic Spiking Oscillator Having Piecewise Constant Characteristics
This paper studies a chaotic spiking oscillator consisting of two capacitors, two voltage-controlled current sources of signum shape and one impulsive switch. The vector field of circuit equation is piecewise constant and embedded return map is piecewise linear. Using the map parameter condition for chaos generation is given. Using a simple test circuit typical phenomena can be confirmed experi...
متن کاملExperimental Study of Impulsive Synchronization of Chaotic and Hyperchaotic Circuits
In this paper, experimental results on impulsive synchronization of two kinds of chaotic circuits; namely, Chua’s oscillator and a hyperchaotic circuit, are presented. To impulsively synchronize two Chua’s oscillators, synchronization impulses sampled from one state variable of the driving circuit are transmitted to the driven circuit. To impulsively synchronize two hyperchaotic circuits, synch...
متن کاملSub-optimal Estimation of HIV Time-delay Model using State-Dependent Impulsive Observer with Time-varying Impulse Interval: Application to Continuous-time and Impulsive Inputs
Human Immunodeficiency Virus (HIV) weakens the immune system in confronting various diseases by attacking to CD4+T cells. In modeling HIV behavior, the number of CD4+T cells is considered as the output. But, continuous-time measurement of these cells is not possible in practice, and the measurement is only available at variable intervals that are several times bigger than sampling time. In this...
متن کامل