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The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
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 …
solutions of nonlinear mechanical systems. The objective of this paper is to exploit the …
Chaos and hyperchaos in the fractional-order Rössler equations
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 …
years. In this paper, we numerically study the chaotic behaviors in the fractional-order …
Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
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 …
general class of nonlinear feedback systems. Compact conditions for the prediction and …
Analysis of stability and bifurcations of limit cycles in Chua's circuit through the harmonic-balance approach
F Bonani, M Gilli - IEEE Transactions on Circuits and Systems I …, 1999 - ieeexplore.ieee.org
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 …
detecting limit-cycle bifurcations in complex nonlinear circuits. The key step of the proposed …
A frequency method for predicting limit cycle bifurcations
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 …
dynamic systems. Relying on the classical harmonic balance approach as applied in control …
Memristor circuits for simulating neuron spiking and burst phenomena
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 …
successfully employed as synapses in neuromorphic circuits. This paper focuses on …
Successional state dynamics: a novel approach to modeling nonequilibrium foodweb dynamics
CA Klausmeier - Journal of Theoretical Biology, 2010 - Elsevier
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 …
nonequilibrium dynamics has been hampered by a paucity of analytical tools. Here I …
An approach to information propagation in 1-D cellular neural networks. II. Global propagation
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 …
studies how and when a global propagation of information, introduced as initial condition, is …
Chaos and bifurcation in a third-order phase locked loop
BA Harb, AM Harb - Chaos, Solitons & Fractals, 2004 - Elsevier
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 …
filter is investigated. The system under consideration is modeled as a third-order …
Prediction of period doubling bifurcations in harmonically forced memristor circuits
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 …
oscillatory circuits with a flux-controlled memristor and harmonic forcing term. It is first shown …