Adaptive dynamical networks

R Berner, T Gross, C Kuehn, J Kurths, S Yanchuk - Physics Reports, 2023 - Elsevier
It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

Methods of model reduction for large-scale biological systems: a survey of current methods and trends

TJ Snowden, PH van der Graaf, MJ Tindall - Bulletin of mathematical …, 2017 - Springer
Complex models of biochemical reaction systems have become increasingly common in the
systems biology literature. The complexity of such models can present a number of …

Three-dimensional direct numerical simulation of a turbulent lifted hydrogen jet flame in heated coflow: a chemical explosive mode analysis

TF Lu, CS Yoo, JH Chen, CK Law - Journal of Fluid Mechanics, 2010 - cambridge.org
A chemical explosive mode analysis (CEMA) was developed as a new diagnostic to identify
flame and ignition structure in complex flows. CEMA was then used to analyse the near-field …

The parameterization method for invariant manifolds III: overview and applications

X Cabré, E Fontich, R De La Llave - Journal of Differential Equations, 2005 - Elsevier
We describe a method to establish existence and regularity of invariant manifolds and, at the
same time to find simple maps which are conjugated to the dynamics on them. The method …

The extension of the ILDM concept to reaction–diffusion manifolds

V Bykov, U Maas - Combustion Theory and Modelling, 2007 - Taylor & Francis
In the present work, the method of simplifying chemical kinetics based on Intrinsic Low-
Dimensional Manifolds (ILDMs) is modified to deal with the coupling of reaction and …

[图书][B] Invariant manifolds for physical and chemical kinetics

AN Gorban, IV Karlin - 2005 - Springer
Invariant Manifolds for Physical and Chemical Kinetics | SpringerLink Skip to main content
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[图书][B] Phase transition dynamics

T Ma, S Wang - 2014 - Springer
Transitions are to be found throughout the natural world. The laws of nature are usually
represented by differential equations, which can be regarded as dynamical systems—both …

[PDF][PDF] Singular perturbations and time scales in control theories and applications: An overview 2002–2012

Y Zhang, DS Naidu, C Cai, Y Zou - Int. J. Inf. Syst. Sci, 2014 - d.umn.edu
This paper presents an overview of singular perturbations and time scales (SPaTS) in
control theory and applications during the period 2002-2012. The previous …

An automatic procedure for the simplification of chemical kinetic mechanisms based on CSP

M Valorani, F Creta, DA Goussis, JC Lee… - Combustion and Flame, 2006 - Elsevier
An algorithm is developed to generate simplified (skeletal) kinetic mechanisms from a given
detailed one. The algorithm is able to replicate the dynamics of a user-specified set of …

[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 …