The harmonic balance (HB) method is widely used in the literature for analyzing the periodic
solutions of nonlinear mechanical systems. The objective of this paper is to exploit the …

The dynamics of fractional-order systems have attracted increasing attentions in recent
years. In this paper, we numerically study the chaotic behaviors in the fractional-order …

The harmonic balance method is applied to the analysis of period-doubling bifurcations in a
general class of nonlinear feedback systems. Compact conditions for the prediction and …

This paper presents a spectral approach, based on the harmonic-balance technique, for
detecting limit-cycle bifurcations in complex nonlinear circuits. The key step of the proposed …

Since the introduction of memristors, it has been widely recognized that they can be
successfully employed as synapses in neuromorphic circuits. This paper focuses on …

The paper studies the bifurcations of limit cycles in a rather general class of nonlinear
dynamic systems. Relying on the classical harmonic balance approach as applied in control …

Communities and ecosystems are often far from equilibrium, but our understanding of
nonequilibrium dynamics has been hampered by a paucity of analytical tools. Here I …

For pt. I see P. Thiran et al., ibid., vol. 45, no. 8, pp. 777-89 (1998). This second of two papers
studies how and when a global propagation of information, introduced as initial condition, is …

The chaos induced in a new type of phase locked loop (PLL) having a second-order loop
filter is investigated. The system under consideration is modeled as a third-order …

The paper studies bifurcations and complex dynamics in a class of nonautonomous
oscillatory circuits with a flux-controlled memristor and harmonic forcing term. It is first shown …