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 …

Polynomial-time solution of prime factorization and NP-complete problems with digital memcomputing machines

FL Traversa, M Di Ventra - Chaos: An Interdisciplinary Journal of …, 2017 - pubs.aip.org
We introduce a class of digital machines, we name Digital Memcomputing
Machines,(DMMs) able to solve a wide range of problems including Non-deterministic …

An impedance matching solution to increase the harvested power and efficiency of nonlinear piezoelectric energy harvesters

M Bonnin, FL Traversa, F Bonani - Energies, 2022 - mdpi.com
Circuit theory and nonlinear dynamics are instrumental to design efficient energy harvesters
for ambient mechanical vibrations. In this work, we show that an impedance matching …

A circuit theory perspective on the modeling and analysis of vibration energy harvesting systems: a review

M Bonnin, K Song, FL Traversa, F Bonani - Computation, 2023 - mdpi.com
This paper reviews advanced modeling and analysis techniques useful in the description,
design, and optimization of mechanical energy harvesting systems based on the collection …

Memory models of adaptive behavior

FL Traversa, YV Pershin… - IEEE transactions on …, 2013 - ieeexplore.ieee.org
Adaptive response to varying environment is a common feature of biological organisms.
Reproducing such features in electronic systems and circuits is of great importance for a …

A harmonic balance methodology for circuits with fractional and nonlinear elements

M Sowa - Circuits, Systems, and Signal Processing, 2018 - Springer
This paper discusses the ability to obtain periodic steady-state solutions for fractional
nonlinear circuit problems. For a class of nonlinear problems with fractional derivatives …

Noise in oscillators: a review of state space decomposition approaches

FL Traversa, M Bonnin, F Corinto, F Bonani - Journal of Computational …, 2015 - Springer
We review the state space decomposition techniques for the assessment of the noise
properties of autonomous oscillators, a topic of great practical and theoretical importance for …

Paired asymmetric periodic oscillations in a pair of first-order asymmetric nonlinear circuit systems

Y Xu, ACJ Luo - Mechanical Systems and Signal Processing, 2022 - Elsevier
In this paper, the analytical solutions for paired asymmetric periodic oscillations in a pair of
first-order asymmetric nonlinear circuit systems are developed for the first time. The purpose …

Convergence rates of harmonic balance method for periodic solution of smooth and non-smooth systems

L Wang, ZR Lu, J Liu - … in Nonlinear Science and Numerical Simulation, 2021 - Elsevier
This paper presents a systematic and rigorous analysis on the convergence rates of the
Harmonic balance Method (HB) for general smooth and non-smooth systems. In doing so …

Colored noise in oscillators. Phase-amplitude analysis and a method to avoid the Ito-Stratonovich dilemma

M Bonnin, FL Traversa, F Bonani - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
We investigate the effect of time-correlated noise on the phase fluctuations of nonlinear
oscillators. The analysis is based on a methodology that transforms a system subject to …