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 …
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 …
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
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 …
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
This paper reviews advanced modeling and analysis techniques useful in the description,
design, and optimization of mechanical energy harvesting systems based on the collection …
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 …
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 …
nonlinear circuit problems. For a class of nonlinear problems with fractional derivatives …
Noise in oscillators: a review of state space decomposition approaches
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 …
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
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 …
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 …
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
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 …
oscillators. The analysis is based on a methodology that transforms a system subject to …