Chirality detected in Hartley’s electronic oscillator

Abstract

Chirality is an elusive asymmetry important in science and technology and confined mainly to the quantum realm. This paper reports the observation of chirality in a classical (that is, not quantum) scenario, namely in stability diagrams of an autonomous electronic oscillator with a junction-gate field-effect transistor (JFET) and a tapped coil. As the number of spikes (local maxima) of stable oscillations changes along closed parameter paths, they generate two types of intricate structures. Surprisingly, such pair of structures are artful images of each other when reflected on a mirror. They are dual chiral pairs interconnecting families of stable oscillations in closed loops. Chiral pairs should not be difficult to detect experimentally. This chirality is conjectured to be a generic property of nonlinear oscillators governed by classical (that is, not quantum) equations.

Complexity in subnetworks of a peroxidase–oxidase reaction model

“…very recently reported singular boundary points where five distinct phases of stable oscillatory behavior meet in isospike diagrams. 10,[41][42][43] Evidence for such a quint point could be also found in recent experimental data at elevated concentrations of peroxidase. Thus, overall the three subnetworks display complex behavior in good correspondence with previous and our present experimental data.…”

“…29,36 The isospike stability diagrams of the tree subnetwork models reveal complex periodic structures which enlighten and explain previous experimental observations in the PO reaction, that is bifurcations and return maps. Two of the subnetworks also predict the existence of of the recently reported quint points, 10,[41][42][43] that is singular points where five distinct stability phases coalesce. Finally, we present new experimental results providing evidence of quint points in the laboratory system.…”

“…3). 10,41,42 A quint point is a point where five distinct isospike phases meet. An example of such a point can be observed in the upper left panel of Fig.…”

“…Non-quantum chirality refers to surprising chiral structures observed recently in the nonlinear oscillators governed by rate equations, not by any quantum feature. [40][41][42][43]…”

Non-quantum chirality in a driven Brusselator

“…A recent work reported the observation of chiral structures of non-quantum origin in the dynamics of an autonomous, that is time independent, electronic circuit, Hartley's oscillator, involving a solid-state component, namely a junction-gate field-effect transistor, and a tapped coil [1]. Such remarkable structures were observed in phase diagrams displaying how the number of spikes of stable periodic oscillations changed when parameters of the circuit are tuned along certain closed parameter paths, rings, in the control parameter space of the circuit.…”