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| Product Code: | CONM/806 |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
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| eBook ISBN: | 978-1-4704-7684-7 |
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Book DetailsContemporary MathematicsVolume: 806; 2024; Estimated: 234 ppMSC: Primary 34; 35; 65; 37
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 is rapidly evolving, marked by significant theoretical breakthroughs and practical applications. The workshop facilitated a convergence of experts from various sub-disciplines, encompassing topics like blow-up techniques for ordinary differential equations (ODEs), singular perturbation theory for stochastic differential equations (SDE), homogenization and averaging, slow-fast maps, numerical approaches, and network dynamics, including their applications in neuroscience and climate science.
This volume provides a wide-ranging perspective on the current challenging subjects being explored in the field, including themes such as novel approaches to blowing-up and canard theory in unique contexts, complex multi-scale challenges in PDEs, and the role of stochasticity in multiple-scale systems.
ReadershipGraduate students and research mathematicians interested in recent developments in multiple scale dynamics.
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Table of Contents
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Riccardo Bonetto and Hildeberto Jardón-Kojakhmetov — A topological perspective on singular canards for critical sets with transverse intersections
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Maximilian Engel and Georg A. Gottwald — Canards in modified equations for Euler discretizations
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Maximilian Engel and Guillermo Olicón-Méndez — Noise-induced instabilities in a stochastic Brusselator
-
S. Jelbart and C. Kuehn — A formal geometric blow-up method for pattern forming systems
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Christian Kuehn, Pascal Lehner, and Jan-Eric Sulzbach — Infinite dimensional slow manifolds for a linear fast-reaction system
-
Adam H. Monahan — Spectral and bispectral densities of squared stationary Guassian processes
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Elle Musoke, Bernd Krauskopf, and Hinke M. Osinga — A heteroclinic surface between two saddle slow manifolds organizing sectors of rotation of mixed-mode oscillations
-
Nikola Popović and Zhouqian Miao — The effect of a cut-off on a model of invasion with dispersive variability
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Cinzia Soresina, Bao Quoc Tang, and Bao-Ngoc Tran — Fast-reaction limits for predator-prey reaction-diffusion systems: improved convergence
-
Xiaoxuan Wu and Tasso J. Kaper — A new class of multi-scale reaction-diffusion systems with closed-form, low-dimensional, invariant manifolds
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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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 is rapidly evolving, marked by significant theoretical breakthroughs and practical applications. The workshop facilitated a convergence of experts from various sub-disciplines, encompassing topics like blow-up techniques for ordinary differential equations (ODEs), singular perturbation theory for stochastic differential equations (SDE), homogenization and averaging, slow-fast maps, numerical approaches, and network dynamics, including their applications in neuroscience and climate science.
This volume provides a wide-ranging perspective on the current challenging subjects being explored in the field, including themes such as novel approaches to blowing-up and canard theory in unique contexts, complex multi-scale challenges in PDEs, and the role of stochasticity in multiple-scale systems.
Graduate students and research mathematicians interested in recent developments in multiple scale dynamics.
-
Riccardo Bonetto and Hildeberto Jardón-Kojakhmetov — A topological perspective on singular canards for critical sets with transverse intersections
-
Maximilian Engel and Georg A. Gottwald — Canards in modified equations for Euler discretizations
-
Maximilian Engel and Guillermo Olicón-Méndez — Noise-induced instabilities in a stochastic Brusselator
-
S. Jelbart and C. Kuehn — A formal geometric blow-up method for pattern forming systems
-
Christian Kuehn, Pascal Lehner, and Jan-Eric Sulzbach — Infinite dimensional slow manifolds for a linear fast-reaction system
-
Adam H. Monahan — Spectral and bispectral densities of squared stationary Guassian processes
-
Elle Musoke, Bernd Krauskopf, and Hinke M. Osinga — A heteroclinic surface between two saddle slow manifolds organizing sectors of rotation of mixed-mode oscillations
-
Nikola Popović and Zhouqian Miao — The effect of a cut-off on a model of invasion with dispersive variability
-
Cinzia Soresina, Bao Quoc Tang, and Bao-Ngoc Tran — Fast-reaction limits for predator-prey reaction-diffusion systems: improved convergence
-
Xiaoxuan Wu and Tasso J. Kaper — A new class of multi-scale reaction-diffusion systems with closed-form, low-dimensional, invariant manifolds
