DSWeb, the online portal for SIAM’s dynamical systems activity group, is your source for up-to-date information on all aspects of dynamical systems and its applications.
By Bree Cummins, Marcio Gameiro, Tomas Gedeon, Shane Kepley, Konstantin Mischaikow, and Lun ZhangSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 2096-2125, January 2022. Understanding how the structure of within-system interactions affects the dynamics of the system is important...
...
By Yiyang Deng, Marshall Hampton, and Zhiqiang WangSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 2080-2095, January 2022. The relative equilibria of the planar Newtonian $N$-body problem becomes coorbital around a central mass...
Houston, TX, United States
Albuquerque, NM, United States
Honolulu, HI, United States
By Joseph D. Johnson, Adam M. Redlich, and Daniel M. AbramsSIAM Review, Volume 64, Issue 3, Page 625-639, August 2022. Firms in the U.S. spend over $200 billion each year advertising their products to consumers, around one percent...
By Demi L. Gandy and Martin R. NelsonSIAM Review, Volume 64, Issue 3, Page 728-747, August 2022. The Gray--Scott model is a widely studied autocatalytic model that exhibits a range of interesting pattern formation behavior, as...
By Volker H. SchulzSIAM Review, Volume 64, Issue 3, Page 751-759, August 2022. The section starts with two hot topics combined into one book: data-driven science and COVID-19. In our featured review,...
By Manlio Gaudioso and Jean-Baptiste Hiriart-UrrutySIAM Review, Volume 64, Issue 3, Page 713-727, August 2022. We consider, and study with elementary calculus, the polyhedral norms $||x||_{(k)}=$ sum of the $\mathit{k}$ largest among the $|x_{i}|$'s....
By Qinmeng Zou and Frédéric MagoulèsSIAM Review, Volume 64, Issue 3, Page 517-553, August 2022. The primary aim of this paper is to provide a review of the last few decades of research focused...
By Darinka DentchevaSIAM Review, Volume 64, Issue 3, Page 711-712, August 2022. This issue of SIAM Review presents two papers in the Education section. The first paper, “Deforming $\|\cdot\|_1$ into $\|\cdot\|_\infty$...
By Nate Veldt, Austin R. Benson, and Jon KleinbergSIAM Review, Volume 64, Issue 3, Page 650-685, August 2022. The minimum $s$-$t$ cut problem in graphs is one of the most fundamental problems in combinatorial optimization, and graph...
By Paolo Guasoni and Yu-Jui HuangSIAM Review, Volume 64, Issue 3, Page 689-709, August 2022. Federal student loans are fixed-rate debt contracts with three main special features: (i) borrowers can use income-driven schemes to...
By Misha E. KilmerSIAM Review, Volume 64, Issue 3, Page 623-624, August 2022. What's in a name [brand]? In the first of three Research Spotlights articles this issue, authors Joseph D....
By Mark Van der Boor, Sem C. Borst, Johan S. H. Van Leeuwaarden, and Debankur MukherjeeSIAM Review, Volume 64, Issue 3, Page 554-622, August 2022. In this survey we provide an overview of recent advances on scalable load balancing schemes which provide favorable delay...
By The EditorsSIAM Review, Volume 64, Issue 3, Page 687-687, August 2022. In this section we present “Minimizing the Repayment Cost of Federal Student Loans,” by Paolo Guasoni and Yu-Jui Huang....
By Andy WathenSIAM Review, Volume 64, Issue 3, Page 640-649, August 2022. The solution of systems of linear(ized) equations lies at the heart of many problems in scientific computing. In particular,...
By J. M. Sanz-SernaSIAM Review, Volume 64, Issue 3, Page 515-515, August 2022. This issue contains two Survey and Review papers. The first, by Qinmeng Zou and Frédéric Magoulès, is “Delayed Gradient...
By Yujie Ding and Bard ErmentroutSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 2047-2079, January 2022. Rotating waves are a common occurrence in large scale recordings of brain oscillations. We examine...
By Choongseok Park and Jonathan E. RubinSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1952-1999, January 2022. We present an analysis of activity patterns in a neuronal network that consists of three...
By Michal Pnueli and Vered Rom-KedarSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 2000-2046, January 2022. Tangencies correspond to singularities of impact systems, separating between impacting and non-impacting trajectory...
By Mathias Wanner and Igor MezićSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1930-1951, January 2022. We analyze the performance of dynamic mode decomposition (DMD)-based approximations of the stochastic Koopman operator...
By Christina Athanasouli, Sofia H. Piltz, Cecilia G. Diniz Behn, and Victoria BoothSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1893-1929, January 2022. Differential equation-based physiological models of sleep-wake networks describe sleep-wake regulation by simulating the activity of...
By Saleh Albeaik, Alexandre Bayen, Maria Teresa Chiri, Xiaoqian Gong, Amaury Hayat, Nicolas Kardous, Alexander Keimer, Sean T. McQuade, Benedetto Piccoli, and Yiling YouSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1862-1892, January 2022. This contribution analyzes the widely used and well-known “intelligent driver model” (briefly IDM), which is...
By Joan Gimeno, Àngel Jorba, Begon͂a Nicolás, and Estrella OlmedoSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1832-1861, January 2022. In this paper we present a procedure to compute reducible invariant tori and their stable...
By Noah Cheesman, S. J. Hogan, and Kristian Uldall KristiansenSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1798-1831, January 2022. Painlevé showed that there can be inconsistency and indeterminacy in solutions to the equations of...
By Francisco Crespo and Edward A. TurnerSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1778-1797, January 2022. This paper deals with the full gravitational $N$-body problem. We express the Newton--Euler equations of...
By Valeria Giunta, Thomas Hillen, Mark Lewis, and Jonathan R. PottsSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1686-1708, January 2022. Nonlocal advection is a key process in a range of biological systems, from cells within...
By Shenglan Yuan and Dirk BloemkerSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1748-1777, January 2022. In the present work, we establish the approximation via modulation or amplitude equations of the...
By Matthias Wolfrum, Serhiy Yanchuk, and Otti D'HuysSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1709-1725, January 2022. We study the Kuramoto--Sakaguchi system of phase oscillators with a delayed mean-field coupling. By applying...
By Xiaoqing He and Liu LiuSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1663-1685, January 2022. We consider a reaction-diffusion-advection model for two competing species in a heterogeneous environment where the...
By Sevdzhan Hakkaev, Milena Stanislavova, and Atanas StefanovSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 3, Page 1726-1747, January 2022. We analyze the Benney model for interaction of short and long waves in...
By Abigail Hickok, Yacoub Kureh, Heather Zinn Brooks, Michelle Feng, and Mason A. PorterSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1660-1661, June 2022. This is a short erratum for the paper A. Hickok et al. [SIAM J. Appl....
By Stephanie Dodson and Timothy J. LewisSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1631-1659, June 2022. When propagated action potentials in cardiac tissue interact with local heterogeneities, reflected waves can...
By Caitlyn Parmelee, Juliana Londono Alvarez, Carina Curto, and Katherine MorrisonSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1597-1630, June 2022. Sequences of neural activity arise in many brain areas, including cortex, hippocampus, and central pattern...
By Changbo Chen and Wenyuan WuSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1573-1596, June 2022. We present an efficient geometric approach for computing the steady states of biparametric biological systems...
By Oliver R. A. Dunbar, Andrew B. Duncan, Andrew M. Stuart, and Marie-Therese WolframSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1539-1572, June 2022. The increasing availability of data presents an opportunity to calibrate unknown parameters which appear in...
By Alexandre Bayen, Jan Friedrich, Alexander Keimer, Lukas Pflug, and Tanya VeeravalliSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1495-1538, June 2022. We consider a system of nonlocal balance laws where each balance law is coupled with...
By Pierre Degond, Antoine Diez, and Mingye NaSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1455-1494, June 2022. In this paper, we demonstrate the existence of topological states in a new collective dynamics...
By Razvan C. Fetecau, Seung-Yeal Ha, and Hansol ParkSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1382-1425, June 2022. We derive an explicit form for the Cucker--Smale (CS) model on the special orthogonal group...
By Xiaoxian Tang and Zhishuo ZhangSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1426-1454, June 2022. For the reaction networks with one-dimensional stoichiometric subspaces, we show the following results. (1)...
By Guy A. Djokam and Muruhan RathinamSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1352-1381, June 2022. We introduce and analyze a model for the dynamics of flocking and steering of a...
By Nicholas Ercolani, Joceline Lega, and Brandon TippingsSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1322-1351, June 2022. This manuscript develops a novel understanding of nonpolar solutions of the discrete Painlevé I equation...
By Peter D. Harrington, Mark A. Lewis, and P. van den DriesscheSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1287-1321, June 2022. Transient dynamics often differ drastically from the asymptotic dynamics of systems. In this paper we...
By Wolf-Jürgen Beyn, Gary Froyland, and Thorsten HülsSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1245-1286, June 2022. We introduce the notion of angular values for deterministic linear difference equations and ran- dom...
By Seung-Yeal Ha, Dohyun Kim, and Hansol ParkSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1166-1208, June 2022. A tensor is a multidimensional array of complex numbers, and the Lohe tensor model is...
By Spencer A. Smith and Sierra DunnSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1209-1244, June 2022. The deep connections between braids and dynamics by way of the Nielsen--Thurston classification theorem have...
By Gerard Iooss and Alastair M. RucklidgeSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1119-1165, June 2022. When two-dimensional pattern-forming problems are posed on a periodic domain, classical techniques (Lyapunov--Schmidt, equivariant bifurcation...
By Polly Y. Yu, Gheorghe Craciun, Maya Mincheva, and Casian PanteaSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1092-1118, June 2022. Delay mass-action systems provide a model of chemical kinetics when past states influence the current...
By Joshua Kimrey, Theodore Vo, and Richard BertramSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1059-1091, June 2022. Early afterdepolarizations (EADs) are voltage oscillations that can occur during the plateau phase of a...
By Naoya Takeishi, Keisuke Fujii, Koh Takeuchi, and Yoshinobu KawaharaSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 1030-1058, June 2022. Extracting coherent patterns is one of the standard approaches toward understanding spatiotemporal data. Dynamic mode...
By Katherine J. Meyer and Richard P. McGeheeSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 960-981, June 2022. Although mathematical models do not fully match reality, robustness of dynamical objects to perturbation helps...
By Samuel Jelbart, Nathan Pages, Vivien Kirk, James Sneyd, and Martin WechselbergerSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 982-1029, June 2022. Phenomena in chemistry, biology, and neuroscience are often modeled using ordinary differential equations (ODEs) in...
By Pavol BokesSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 903-931, June 2022. Biochemical reaction systems, in particular those that govern the expression of genes in single...
By Shijie Zhou, Ying-Cheng Lai, and Wei LinSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 932-959, June 2022. The mathematical framework of stochastically adaptive feedback control, which is generally applicable to significant problems...
By Lauri Ylinen, Tuomo von Lerber, Franko Küppers, and Matti LassasSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 840-878, June 2022. An analytical study of dynamical properties of a semiconductor laser with optical injection of arbitrary...
By Tamal K. Dey, Marian Mrozek, and Ryan SlechtaSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 817-839, June 2022. Multivector fields provide an avenue for studying continuous dynamical systems in a combinatorial framework. ...
By Elisenda Feliu, Christian Lax, Sebastian Walcher, and Carsten WiufSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 782-816, June 2022. Quasi-steady state (QSS) reduction is a commonly used method to lower the dimension of a...
By Bart M. de Leeuw and Svetlana DubinkinaSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 879-902, June 2022. In this article we develop further an algorithm for data assimilation based upon a shadowing...
By Nisha Chandramoorthy and Qiqi WangSIAM Journal on Applied Dynamical Systems, Volume 21, Issue 2, Page 735-781, June 2022. The sensitivity of time averages in a chaotic system to an infinitesimal parameter perturbation grows...
Clemson, SC, United States
Cambridge, MA, United States
Rahway, NJ, United States
Pennington, NJ, United States
Singapore
Rochester, NY, United States
VA, United States
Blacksburg - Main Campus, VA, United States
By Cathie Wells If aviation were a country, it would rank among the top 10 emitters in terms of contributions to climate change [1]. Although reducing the number of flights would make an ...
By Lina Sorg Most people can entrain their circadian rhythms with the 24-hour light-dark cycle. However, certain individuals are unable to do so due to disease or societal obligations, such ...
By Jake Ahern , Hugh D. Piggins , and Alan R. Champneys Most people have at least a vague understanding of circadian rhythms. We experience them in our daily patterns of sleep and wake ...
By Lai-Sang Young In the human brain, \(\mathcal O(10^{11})\) neurons communicate mostly via electric impulses. Researchers often model the cerebral cortex as a coupled dynamical system: a ...
By Nisha Chandramoorthy , Adam A. Śliwiak , and Qiqi Wang Large and abrupt changes mark the past, present, and future of our planet’s climate. These changes may be caused by small ...
By George Haller , Shobhit Jain , and Mattia Cenedese Machine learning (ML) has been an inspiring development for all areas of applied science, with numerous success stories in static ...
This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.
The prize was established in 2000 in memory of John David Crawford and his contributions to the physics of collisionless plasmas and pattern formation. It is awarded to one individual for recent work on a topic in nonlinear science, based on publication in peer-reviewed journals.
The prize was established in 2000 in memory of Jürgen Moser, a leading mathematician who helped develop influential theories in celestial mechanics and dynamical systems theory. It is awarded to one individual who has made distinguished contributions to nonlinear science.
Established in 1998 in memory of Ralph E. Kleinman, the prize recognizes contributions that bridge the gap between high-level mathematics and engineering problems. The award is based on the quality and impact of the mathematics.
Established by Idalia Reid in honor of her husband W. T. Reid and first awarded in 1994, the W. T. and Idalia Reid Prize in Mathematics is awarded annually in the broadly-defined areas of differential equations and control theory.
This joint prize was established in 2002 to honor Sonia Kovalevsky and her work on the theory of differential equations. It is awarded to anyone in the scientific or engineering community whose work highlights the achievements of women in applied and computational mathematics. Nominations can be submitted via the AWM website.
The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.
Established in 1967, the prize honors George David Birkhoff (1884-1944), who served as the American Mathematical Society (AMS) President during 1925-1926. The prize is awarded every three years by SIAM and AMS for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.
The Martin Kruskal Lecture, established in 2011, is awarded every two years to one individual for a notable body of mathematics and contributions to the mathematical theory of nonlinear waves and coherent structures, where this research area is interpreted as being in the spirit of the SIAG on Nonlinear Waves and Coherent Structures meetings. The award may be given either for a single notable achievement or for a collection of such achievements.
The prize was established in 1986 in memory of Richard C. DiPrima, who served SIAM for many years and in 1979–1980 as SIAM President. It aims to recognize an early career researcher in applied mathematics and is based on the doctoral dissertation.
The prize was established in 2015 to honor T. Brooke Benjamin for his seminal contributions to nonlinear waves and coherent structures. It is awarded to a mid-career established researcher for recent work, based on publication in peer-reviewed journals.
This prize was established in 1968 to commemorate Theodore von Kármán and his work in aerodynamics. It is awarded every five years for a notable application of mathematics to mechanics or engineering in the five to ten years preceding the award.
Established in 1967, the prize honors Norbert Wiener, a founder of the field of cybernetics. The prize is awarded every three years by SIAM and the American Mathematical Society (AMS) for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.
The prize was established in 1999 in memory of Julian D. Cole and his work in mathematical applications to aerodynamics. It is awarded for the application of mathematical methods or the mathematical solution of a challenging problem in engineering or the physical or biological sciences.
The Pioneer Prize is awarded every four years at the International Council for Industrial and Applied Mathematics (ICIAM) Congress to one individual for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. Nominations can be submitted via the ICIAM website.
Through the generosity and inspiration of Gerald and Judith Porter, the Mathematical Association of America (MAA), American Mathematical Society (AMS), and SIAM offer this annual lecture at the Joint Mathematics Meetings. The lecture, first awarded in 2010, is given on a mathematical topic accessible to the broader community.
Named in honor of I. E. Block, a co-founder and the first managing director of SIAM, this lecture is open to the public at the SIAM Annual Meeting. It is intended to encourage public appreciation of applied mathematics and computational science by reaching out to the local community.
Established in 1959, the prize honors John von Neumann, a founder of modern computing. The prize is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.
The JPBM Communications Award is given annually to reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to non-mathematical audiences. The prize may be awarded in two categories: For Public Outreach and For Expository and Popular Books. Nominations can be submitted via the AMS website.
~*Learn More*~
The MAA-SIAM-AMS Hrabowski-Gates-Tapia-McBay (HGTM) Lecture is named after four influential scientists of color: Freeman Hrabowski, President of the University of Maryland at Baltimore County; James S. Gates, University of Maryland, College Park; Richard Tapia, Rice University; and Shirley McBay, Founder and former President of Quality Education for Minorities. This lecture started in 2016 as an activity of the Mathematical Association of America’s Committee on Minority Participation and became a jointly sponsored MAA-SIAM-AMS event in 2018.
The Red Sock Award is given for the best poster presentation by a student or postdoc at the SIAM Conference on Applications of Dynamical Systems. Four awards are made each prize cycle. By tradition, each recipient is awarded a red sock.
The prize recognizes students for outstanding solutions to real world math problems. It is awarded to six of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.
The SIAM Outstanding Paper Prize is not currently active. For the 20 years before it was discontinued in 2019, the SIAM Outstanding Paper Prizes brought attention to papers published in SIAM journals. Three awards were made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.
The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.
Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.
Read More
Internships allow you to network and forge connections for future job possibilities, while also exploring possible areas of interest. Look at this list of companies who offer valuable opportunities.
Our community is founded on igniting groundbreaking developments in applied math and computational science. Take a deeper dive into your area of study with one of these opportunities.