The Experts below are selected from a list of 96 Experts worldwide ranked by ideXlab platform

Jiang Wang - One of the best experts on this subject based on the ideXlab platform.

  • inductor free simplified chua s circuit only using two op amp based realization
    Nonlinear Dynamics, 2016
    Co-Authors: Bocheng Bao, Ning Wang, Mo Chen, Jiang Wang
    Abstract:

    Based on a classical Wien Bridge Oscillator and a simplified Chua’s diode only using one op-amp realization, an inductor-free simplified Chua’s circuit is presented in this paper. The newly proposed circuit has only two op-amps, three capacitors, and eight resistors and, to our knowledge, is a simplest inductor-free Chua’s circuit. The state equations and their dimensionless equations are mathematically modeled. Through numerical simulations of the mathematical model and hardware experiments, the circuit emulates the dynamical behaviors of a classical Chua’s circuit, e.g., coexisting limit cycle oscillations, limit cycle oscillations, period doubling cascades, coexisting chaotic spiral attractors, chaotic double scrolls and boundary crisis. However, different from the classical Chua’s circuit, the inductor-free simplified Chua’s circuit is divided into a non-dissipative region and two dissipative regions in whole state space, resulting in the occurrence of the hollow double-scroll chaotic attractor. Furthermore, an active band pass filter-based inductor-free simplified Chua’s circuit is extended, and numerical simulations and hardware experiments are performed, from which similar dynamical behaviors are exhibited.

Bocheng Bao - One of the best experts on this subject based on the ideXlab platform.

  • inductor free simplified chua s circuit only using two op amp based realization
    Nonlinear Dynamics, 2016
    Co-Authors: Bocheng Bao, Ning Wang, Mo Chen, Jiang Wang
    Abstract:

    Based on a classical Wien Bridge Oscillator and a simplified Chua’s diode only using one op-amp realization, an inductor-free simplified Chua’s circuit is presented in this paper. The newly proposed circuit has only two op-amps, three capacitors, and eight resistors and, to our knowledge, is a simplest inductor-free Chua’s circuit. The state equations and their dimensionless equations are mathematically modeled. Through numerical simulations of the mathematical model and hardware experiments, the circuit emulates the dynamical behaviors of a classical Chua’s circuit, e.g., coexisting limit cycle oscillations, limit cycle oscillations, period doubling cascades, coexisting chaotic spiral attractors, chaotic double scrolls and boundary crisis. However, different from the classical Chua’s circuit, the inductor-free simplified Chua’s circuit is divided into a non-dissipative region and two dissipative regions in whole state space, resulting in the occurrence of the hollow double-scroll chaotic attractor. Furthermore, an active band pass filter-based inductor-free simplified Chua’s circuit is extended, and numerical simulations and hardware experiments are performed, from which similar dynamical behaviors are exhibited.

Ning Wang - One of the best experts on this subject based on the ideXlab platform.

  • inductor free simplified chua s circuit only using two op amp based realization
    Nonlinear Dynamics, 2016
    Co-Authors: Bocheng Bao, Ning Wang, Mo Chen, Jiang Wang
    Abstract:

    Based on a classical Wien Bridge Oscillator and a simplified Chua’s diode only using one op-amp realization, an inductor-free simplified Chua’s circuit is presented in this paper. The newly proposed circuit has only two op-amps, three capacitors, and eight resistors and, to our knowledge, is a simplest inductor-free Chua’s circuit. The state equations and their dimensionless equations are mathematically modeled. Through numerical simulations of the mathematical model and hardware experiments, the circuit emulates the dynamical behaviors of a classical Chua’s circuit, e.g., coexisting limit cycle oscillations, limit cycle oscillations, period doubling cascades, coexisting chaotic spiral attractors, chaotic double scrolls and boundary crisis. However, different from the classical Chua’s circuit, the inductor-free simplified Chua’s circuit is divided into a non-dissipative region and two dissipative regions in whole state space, resulting in the occurrence of the hollow double-scroll chaotic attractor. Furthermore, an active band pass filter-based inductor-free simplified Chua’s circuit is extended, and numerical simulations and hardware experiments are performed, from which similar dynamical behaviors are exhibited.

Mo Chen - One of the best experts on this subject based on the ideXlab platform.

  • inductor free simplified chua s circuit only using two op amp based realization
    Nonlinear Dynamics, 2016
    Co-Authors: Bocheng Bao, Ning Wang, Mo Chen, Jiang Wang
    Abstract:

    Based on a classical Wien Bridge Oscillator and a simplified Chua’s diode only using one op-amp realization, an inductor-free simplified Chua’s circuit is presented in this paper. The newly proposed circuit has only two op-amps, three capacitors, and eight resistors and, to our knowledge, is a simplest inductor-free Chua’s circuit. The state equations and their dimensionless equations are mathematically modeled. Through numerical simulations of the mathematical model and hardware experiments, the circuit emulates the dynamical behaviors of a classical Chua’s circuit, e.g., coexisting limit cycle oscillations, limit cycle oscillations, period doubling cascades, coexisting chaotic spiral attractors, chaotic double scrolls and boundary crisis. However, different from the classical Chua’s circuit, the inductor-free simplified Chua’s circuit is divided into a non-dissipative region and two dissipative regions in whole state space, resulting in the occurrence of the hollow double-scroll chaotic attractor. Furthermore, an active band pass filter-based inductor-free simplified Chua’s circuit is extended, and numerical simulations and hardware experiments are performed, from which similar dynamical behaviors are exhibited.

Skowronski K. - One of the best experts on this subject based on the ideXlab platform.

  • The emergence and analysis of Kuramoto-Sakaguchi-like models as an effective description for the dynamics of coupled Wien-Bridge Oscillators
    SelectedWorks, 2016
    Co-Authors: Kevrekidis Panos, English L. Q., Mertens David, Abdoulkary Saidou, Fritz C. B., Skowronski K.
    Abstract:

    We derive the Kuramoto-Sakaguchi model from the basic circuit equations governing two coupledWien-Bridge Oscillators. A Wien-Bridge Oscillator is a particular realization of a tunable autonomousOscillator that makes use of frequency filtering (via a RC band-pass filter) and positive feedback (viaan Op-Amp). In the last few years, such Oscillators have started to be utilized in synchronizationstudies. We first show that the Wien-Bridge circuit equations can be cast in the form of a coupledpair of Duffing - Van der Pol equations. Subsequently, by applying the method of multiple timescales, we derive the differential equations that govern the slow evolution of the Oscillator phasesand amplitudes. These equations are directly reminiscent of the Kuramoto-Sakaguchi type modelsfor the study of synchronization. We analyze the resulting system in terms of existence and stabilityof various coupled Oscillator solutions and explain on that basis how their synchronization emerges.The phase-amplitude equations are also compared numerically to the original circuit equations,and good agreement is found. Finally, we report on experimental measurements on two coupledWien-Bridge Oscillators and relate the results back to the theoretical predictions

  • The emergence and analysis of Kuramoto-Sakaguchi-like models as an effective description for the dynamics of coupled Wien-Bridge Oscillators
    'American Physical Society (APS)', 2016
    Co-Authors: English L. Q., Mertens David, Abdoulkary Saidou, Fritz C. B., Skowronski K., Kevrekidis P. G.
    Abstract:

    We derive the Kuramoto-Sakaguchi model from the basic circuit equations governing two coupled Wien-Bridge Oscillators. A Wien-Bridge Oscillator is a particular realization of a tunable autonomous Oscillator that makes use of frequency filtering (via a RC band-pass filter) and positive feedback (via an Op-Amp). In the last few years, such Oscillators have started to be utilized in synchronization studies. We first show that the Wien-Bridge circuit equations can be cast in the form of a coupled pair of Duffing - Van der Pol equations. Subsequently, by applying the method of multiple time scales, we derive the differential equations that govern the slow evolution of the Oscillator phases and amplitudes. These equations are directly reminiscent of the Kuramoto-Sakaguchi type models for the study of synchronization. We analyze the resulting system in terms of existence and stability of various coupled Oscillator solutions and explain on that basis how their synchronization emerges. The phase-amplitude equations are also compared numerically to the original circuit equations, and good agreement is found. Finally, we report on experimental measurements on two coupled Wien-Bridge Oscillators and relate the results back to the theoretical predictions.Comment: 13 pages, 7 figure