Bifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it is not clear what a bifurcation of a nonautonomous dynamical system actually is, and so far, various...Loe edasi...
This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its fi...Loe edasi...
The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-...Loe edasi...
This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a ‘non-smooth’ definition....Loe edasi...
This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses&a...Loe edasi...
This volume is a research expository article on the applied mathematics of turbulent dynamical systems through the paradigm of modern applied mathematics. It involves the blending of rigorous mathematical theory, qualitative and quantitative modeling...Loe edasi...
This article will convey why it is interesting and useful to study dynamical systems on networks, how one can go about doing so, the potential pitfalls that can arise in such studies, the current research frontier in the field, and importan...Loe edasi...
This book reviews the basic theory of Ca2+ oscillations (common to almost all cell types), including spatio-temporal behaviors such as waves, and then also some of the theory of mathematical models of electrical bursting in pituitary cells. Th...Loe edasi...
This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently.Wayne reviews recent results on the global dynamics of the two-dimensional Navier-S...Loe edasi...
This volume of Frontiers in Applied Dynamical Systems focuses on two potential solutions to the nonlinear data-assimilation problem in high-dimensional systems. Both contributions focus on so-called particle filters. The contribution of Van Leeuwen f...Loe edasi...
