One-parameter bifurcations in planar Filippov systems

YA Kuznetsov, S Rinaldi, A Gragnani - International Journal of …, 2003 - World Scientific
We give an overview of all codim 1 bifurcations in generic planar discontinuous piecewise
smooth autonomous systems, here called Filippov systems. Bifurcations are defined using …

Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview

A Makroglou, J Li, Y Kuang - Applied numerical mathematics, 2006 - Elsevier
An overview of some of the mathematical models appearing in the literature for use in the
glucose-insulin regulatory system in relation to diabetes is given, enhanced with a survey on …

[BOEK][B] Nonlinear mechanics of shells and plates in composite, soft and biological materials

M Amabili - 2018 - books.google.com
" The present book is intended for (i) graduate students in engineering,(ii) researchers
working on vibrations, shell mechanics and biomechanics (iii) engineers working on aircraft …

[BOEK][B] Elements of applied bifurcation theory

YA Kuznetsov, IA Kuznetsov, Y Kuznetsov - 1998 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

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 …

[BOEK][B] Piecewise-smooth dynamical systems: theory and applications

M Bernardo, C Budd, AR Champneys, P Kowalczyk - 2008 - books.google.com
This book presents a coherent framework for understanding the dynamics of piecewise-
smooth and hybrid systems. An informal introduction expounds the ubiquity of such models …

MATCONT: a MATLAB package for numerical bifurcation analysis of ODEs

A Dhooge, W Govaerts, YA Kuznetsov - ACM Transactions on …, 2003 - dl.acm.org
MATCONT is a graphical MATLAB software package for the interactive numerical study of
dynamical systems. It allows one to compute curves of equilibria, limit points, Hopf points …

Modeling and stability analysis of islanded DC microgrids under droop control

APN Tahim, DJ Pagano, E Lenz… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
The stability of dc microgrids (MGs) depends on the control strategy adopted for each mode
of operation. In an islanded operation mode, droop control is the basic method for bus …

[BOEK][B] Newton methods for nonlinear problems: affine invariance and adaptive algorithms

P Deuflhard - 2011 - books.google.com
This book deals with the efficient numerical solution of challenging nonlinear problems in
science and engineering, both in finite dimension (algebraic systems) and in infinite …

Stability of travelling waves

B Sandstede - Handbook of dynamical systems, 2002 - Elsevier
An overview of various aspects related to the spectral and nonlinear stability of travelling-
wave solutions to partial differential equations is given. The point and the essential spectrum …