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In this work the antimonotonicity phenomenon is experimentally investigated in the case of a driven nonlinear R-L-Diode circuit, with or without a DC bias voltage. The nominated electronic circuit is one of the simplest and extensively studied nonlinear circuits that can be made in breadboard. Due to this fact, this is not an introductory paper but focuses specifically to the study of how the frequency of the sinusoidal voltage source acts to the dynamical behavior of the circuit, using appropriate nonlinear tools such as the bifurcation diagram, phase portrait, return map and correlation dimension. Furthermore, except of the antimonotonicity, a number of other interesting phenomena related to chaos has also been observed. [ABSTRACT FROM AUTHOR]

In this work, the case of coupling (bidirectional and unidirectional) between two identical nonlinear chaotic circuits via a linear resistor, is studied. The produced dynamical systems have different structure, in regard to other similar works, due to the choice of coupling nodes. As a circuit, a modification of the most well-known nonlinear circuit that can operate in a wide range of radiofrequencies, the Colpitts oscillator, is chosen. The simulation and the experimental results show a variety of dynamical phenomena, such as periodic, quasi-periodic and chaotic behaviors, as well as anti-phase and complete synchronization phenomena, depending on the value of the coupling coefficient. [ABSTRACT FROM AUTHOR]

In this paper, in order to show some interesting phenomena of three dimensional autonomous ordinary differential equations, the chaotic behavior as a function of a variable control parameter, has been studied. The initial study in this paper is to analyze the phase portraits, the Lyapunov exponents, the Poincare maps and the bifurcation diagrams. Moreover, some appropriate comparisons are made to contrast some of the existing results. Finally, the effectiveness of the bidirectional coupling scheme between two identical Jerk circuits in a secure communication system is presented in details. Finally, the simulation results are shown to demonstrate that the proposed method is correct and feasible. [ABSTRACT FROM AUTHOR]

In the present work, a detailed study of a nonlinear electrical oscillator with damping and external excitation is presented. The system under study consists of a Duffing-type circuit driven by two sinusoidal voltage sources having different frequencies. The dynamical behavior of the proposed system is investigated numerically, by solving the system of state equations and simulating its behavior as a circuit using MultiSim. The tools of the theoretical approach are the bifurcation diagrams, the Poincaré sections, the phase portraits, and the maximum Lyapunov exponent. The numerical investigation showed that the system has rich complex dynamics including phenomena such as quasiperiodicity, 3-tori, and chaos. [ABSTRACT FROM AUTHOR]

In this report the dynamic behaviour of a nonlinear finance chaotic system was modeled by an electronic circuit and its behaviour was studied by means of electronic circuit simulation tools. A recently new proposed finance system is used. For this reason, a totally different approach in the study of its dynamic behaviour by using the bifurcation diagram is followed, in regard to previous work. The numerical tools of this approach were not only the bifurcation diagram, but also the maximum Lyapunov exponents and the phase portraits. Various phenomena concerning the chaos theory, such as the route to chaos through the mechanism of period doubling, internal and boundary crisis and the coexistence of attractors, were observed. [ABSTRACT FROM AUTHOR]