Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium

Manoj Joshi and Ashish Ranjan

Chaos, Solitons & Fractals, 2020, vol. 134, issue C

Abstract: This research article describes a novel simple chaotic oscillator using bistable operation to generate chaotic waveform. In this design, chaos generation uses differential hysteresis phenomena of an Operational Amplifier (Op-Amp) with tank circuit. The behavior of the proposed chaotic system is investigated in terms of basic dynamical characteristics viz. equilibrium point stability, divergence, Lyapunov exponents, influence of initial condition, routes of chaos, basin of attraction and phase portraits by using theoretical analysis in MATLAB. We observed that proposed chaotic system belongs to the class of hidden attractor with two stable equilibrium points without quadratic or multiplying term that reduced the circuit complexity. Finally, an experimental investigation of the proposed design is performed that validates the theoretical and PSPICE results.

Keywords: Chaotic system; Bistable operation; Hidden attractor; Stable equilibrium; Differential hysteresis phenomena; Operational amplifier (Op-Amp) (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077920300953
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920300953

DOI: 10.1016/j.chaos.2020.109693

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().