Symmetries are a common feature of real-world phenomena in many fields, including physics, biology, materials science, and engineering. They can help understand the behavior of a system and optimize engineering designs. Nonlinear effects such as del...Loe edasi...
This volume contains the proceedings of the BIRS Workshop Topics in Multiple Time Scale Dynamics, held from November 27- December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics...Loe edasi...
(Ilmumisaeg: 31-Jul-2024, Paperback / softback, Kirjastus: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611977974)
Set-valued, convex, and nonsmooth analysis are relatively modern branches of mathematical analysis and increasingly relevant in current control theory and control engineering literature. The first book of this scope and at this level, this book serv...Loe edasi...
Combines the theory of discrete-time dynamical systems with applications to population dynamics with an emphasis on spatial structure. The inclusion of two sexes that must mate to produce offspring leads to the study of operators that are (positively...Loe edasi...
An introduction to the use of matrix theory and linear algebra in modeling the dynamics of biological populations. Learn the basics of modeling methodology (i.e., how to set up a matrix model from biological underpinnings) and the fundamentals of th...Loe edasi...
Boritchev and Kuksin systematically present the results obtained during the past 20 years for the qualitative study of solutions to the small-viscosity stochastic one-dimensional Burgers equations under periodic boundary conditions, and the appli...Loe edasi...
We solve a number of questions pertaining to the dynamics of linear operators on Hilbert spaces, sometimes by using Baire category arguments and sometimes by constructing explicit examples. In particular, we prove the following results. (i) A typica...Loe edasi...
Writing for students and researchers in the mathematical sciences who may have little or no background in either biology or partial differential equations, Friedman considers biological processes that can be described by systems of partial differ...Loe edasi...
Contains a collection of survey and research articles from the special program and international conference on Dynamics and Numbers held at the Max-Planck Institute for Mathematics in 2014. The papers reflect the great diversity and depth of the int...Loe edasi...
(Ilmumisaeg: 30-Jun-2016, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821891353)
Robinson (Northwestern U.) studies systems of nonlinear ordinary differential equations then treats those aspects dealing with iteration of a function. The undergraduate textbook describes the analysis of nonlinear differential equations by means of...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...
Peter Imkeller, Samuel Herrmann, Ilya Pavlyukevich, Dierk Peithmann
Sari: Mathematical Surveys and Monographs
(Ilmumisaeg: 31-Jan-2014, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470410490)
The mathematical approach presented here differs from other approaches to stochastic resonance in that noise-induced random transitions in this model happen on time scales given by the exponential of the quotient of barrier height and noise amplifica...Loe edasi...
This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA, USA. The very wide range of topics represented in this volume i...Loe edasi...
Hoppensteadt taught the lecture course in computational biology and applied mathematics at the Courant Institute of Mathematical Sciences in the fall of 2010. The notes partly build on Modeling and Simulation in Medicine and the Life Sciences (2002)...Loe edasi...