The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

T Detroux, L Renson, L Masset, G Kerschen - Computer Methods in …, 2015 - Elsevier
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 …

Chaos and hyperchaos in the fractional-order Rössler equations

C Li, G Chen - Physica A: Statistical Mechanics and its Applications, 2004 - Elsevier
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 …

A harmonic-based method for computing the stability of periodic solutions of dynamical systems

A Lazarus, O Thomas - Comptes Rendus Mécanique, 2010 - Elsevier
In this Note, we present a harmonic-based numerical method to determine the local stability
of periodic solutions of dynamical systems. Based on the Floquet theory and the Fourier …

The harmonic balance method for advanced analysis and design of nonlinear mechanical systems

T Detroux, L Renson, G Kerschen - … , Volume 2: Proceedings of the 32nd …, 2014 - Springer
As a tool for analyzing nonlinear large-scale structures, the harmonic balance (HB) method
has recently received increasing attention in the structural dynamics community. However …

Memristor circuits for simulating neuron spiking and burst phenomena

G Innocenti, M Di Marco, A Tesi, M Forti - Frontiers in Neuroscience, 2021 - frontiersin.org
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 …

Two-level stability analysis of complex circuits

A Suárez, F Ramírez - IEEE Transactions on Microwave Theory …, 2020 - ieeexplore.ieee.org
A new methodology is proposed for the small-and large-signal stability analysis of complex
microwave systems, containing multiple active blocks. It is based on a calculation of the …

On the chaotic behaviour of a prototype delayed dynamical system

A Uçar - Chaos, Solitons & Fractals, 2003 - Elsevier
A simple model described by an autonomous continuous-time difference-differential
equation with one variable is proposed as a chaos generator and is studied in this paper. A …

Check the stability: Stability analysis methods for microwave circuits

A Suarez - IEEE Microwave Magazine, 2015 - ieeexplore.ieee.org
The instability problems often faced by the designers of nonlinear microwave circuits are the
cause of significant qualitative discrepancies between simulations and measurements, even …

Stability verification of microwave circuits through Floquet multiplier analysis

JM Collantes, I Lizarraga, A Anakabe… - The 2004 IEEE Asia …, 2004 - ieeexplore.ieee.org
This work presents a procedure to verify the stability of periodic regimes of microwave
circuits that are simulated with harmonic-balance algorithms. The technique is based on …

A frequency‐domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential‐algebraic equations

FL Traversa, F Bonani… - International Journal of …, 2008 - Wiley Online Library
A general numerical technique is proposed for the assessment of the stability of periodic
solutions and the determination of bifurcations for limit cycles in autonomous nonlinear …