[图书][B] Multiple time scale dynamics

C Kuehn - 2015 - Springer
This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …

[图书][B] Canards and Black Swans

E Shchepakina, V Sobolev, MP Mortell, E Shchepakina… - 2014 - Springer
The chapter is devoted to the investigation of the relationship between slow integral
manifolds of singularly perturbed differential equations and critical phenomena in chemical …

Stability and bifurcation analysis of Generation IV reactors via point reactor models with temperature reactivity feedback

D Sivan, E Meron, S Kinast - Progress in Nuclear Energy, 2023 - Elsevier
While the stability of present-day reactors is well studied, stability analysis of Generation IV
reactors is in its very beginning. In this paper, the stability of point nuclear reactor models …

Oscillatory amplification of stochastic resonance in excitable systems

EI Volkov, E Ullner, AA Zaikin, J Kurths - Physical review E, 2003 - APS
We study systems which combine both oscillatory and excitable properties, and hence
intrinsically possess two internal frequencies, responsible for standard spiking and for small …

Complex dynamics and multiple coexisting attractors in a fractional-order microscopic chemical system

S He, S Banerjee, K Sun - The European Physical Journal Special Topics, 2019 - Springer
In this paper, we proposed a fractional-order microscopic chaotic system, derived from a set
of microscopic chemical reactions. The dynamical properties of the proposed model have …

Canards in a surface oxidation reaction

Moehlis - Journal of Nonlinear Science, 2002 - Springer
Canards are periodic orbits for which the trajectory follows both the attracting and repelling
parts of a slow manifold. They are associated with a dramatic change in the amplitude and …

Canard phenomenon and localization of oscillations in the Belousov–Zhabotinsky reaction with global feedback

HG Rotstein, N Kopell, AM Zhabotinsky… - The Journal of chemical …, 2003 - pubs.aip.org
The occurrence of spatial domains of large amplitude oscillation on a background of small
amplitude oscillation in a reaction–diffusion system is called localization. We study …

Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method

A Algaba, KW Chung, BW Qin… - Physica D: Nonlinear …, 2020 - Elsevier
In the present work, we investigate the canard explosion in a van der Pol electronic
oscillator, a fast transition from a small amplitude periodic orbit to a relaxation oscillation. To …

CANARD EXPLOSION IN CHEMICAL AND OPTICAL SYSTEMS.

E Shchepakina, O Korotkova - Discrete & Continuous …, 2013 - search.ebscohost.com
The paper deals with the study of the relation between the Andronov {Hopf bifurcation, the
canard explosion and the critical phenomena for the van der Pol's type system of singularly …

Model reduction for nonlinear dynamical systems with parametric uncertainties

YB Zhou - 2012 - dspace.mit.edu
Nonlinear dynamical systems are known to be sensitive to input parameters. In this thesis,
we apply model order reduction to an important class of such systems--one which exhibits …