Course videos on Analytical dynamics - Lagrangian and 3D rigid body dynamics. This course on YouTube will ensure that you have a firm grasp of the fundamentals of engineering dynamics, specifically the analytical dynamics approach (Lagrangian mechanics) and 3D rigid body motion. The course will extend your knowledge of dynamics into areas not covered or covered only briefly at the undergraduate level, e.g., Lagrange’s equations, D’Alembert’s principle, quasi-velocities, phase plane analysis. See the class notes in PDF form.
Paper on the instantaneous limit of finite-time Lyapunov exponents, calculating repelling and attracting Lagrangian coherent structures from a single velocity snapshot. Paper here.
New paper: Undulation enables gliding in flying snakes in Nature Physics. Watch the 9-minute video giving the main findings.
Summer short course videos on 'Center manifolds, normal forms, and bifurcations'. Read more about it here on YouTube. See the class notes in OneNote form, or in PDF form here.
Find out how hidden flow structures in the ocean can aid ocean search-and-rescue operations in a new Nature Communications paper (open access). See the press release and ocean experiment video. Authors: M. Serra, P. Sathe, I. Rypina, A. Kirincich, S.D. Ross, P. Lermusiaux, A. Allen, T. Peacock, G. Haller.
New video lecture series for my Advanced Dynamics course, posted on YouTube. Topics covered include Hamiltonian systems (canonical and non-canonical), nonlinear dynamics, Poisson brackets, integrals of motion, periodic orbits, quasi-periodic orbits, resonance, nonlinear oscillators, stability, chaos, invariant maniifolds. See the class notes in OneNote or PDF form here.
All drones can be used as wind sensors, for providing wind profiles on demand, anywhere, with higher spatiotemporal resolution and a fraction of the cost of other methods. See the free open-access paper in Sensors led by soon-to-graduate aerospace PhD student Javier Gonzalez-Rocha.
Identifying air pollution transport patterns using generalized Lagrangian coherent structure. See the free open-access paper in Atmosphere.
We're starting a new Harnessing the Data Revolution: Data Science Corps program for college students this year, where those in training to be engineers/physicists and biologists team up to tackle problems in data-driven decision-making at the engineering/biology interface. The main part of this multi-university program is a summer experience at Virginia Tech, for student-directed field research and data analysis. Read the news article.
All drones are wind sensors. Detecting wind from the motion of multirotor drones. See the paper here on a model-based approach to wind velocity profiling using motion perturbations of a multirotor unmanned aircraft system (UAS) in both hovering and steady ascending flight.
Calculating Lagrangian coherent structures (LCS) from the instantaneous limit of the finite-time Lyapunov exponent (FTLE), with several examples to geophysical flows. See the paper here on the instantaneous Lyapunov exponent (iLE) and related iLE structures.
Find out how hidden flow structures in the ocean can aid Coast Guard search-and-rescue operations. See the paper here.
Researchers receive USDA grant to study transport of pollen from genetically engineered switchgrass and hemp. See the news article about a new project by David Schmale, Hosein Foroutan, and me.
In N degrees of freedom, the boundary of orbits escaping across an index-1 saddle, starting at the same initial energy, goes from a (2N-2)-dimensional hyper-cylinder in the conservative case to a (2N-2)-dimensional hyper-ellipsoid in the dissipative case. See the paper here.
News piece on a special edition of Scientific American on "Wild Ideas in Science" that features an article by me and David Schmale on the transport of microbes in the air and water. There's an 'atmospheric superhighway' that transports microbes across the globe, modeled using fluid dynamics and mathematics, and sampled using drones. The special issue covers what it calls "amazing innovations that just might save the planet and us".
We present a new data-driven method to estimate the location and type of unstable equilibrium points from observed dynamics in mechanical systems of two or more degrees of freedom. Such unstable points are not easily found directly, based on transient trajectories from experiments, but can have a large influence on global dynamics. Our method is validated experimentally for a simple bench-top system, showing promise for more complicated systems. See the paper.
Get our new open access paper, a massive experimental comparison paper led by Lindsay Barbieri of the University of Vermont, on intercomparison of small unmanned aircraft system (sUAS) measurements for atmospheric science during the large LAPSE-RATE campaign. Special thanks to David Schmale and Javier Gonzalez-Rocha for piloting the multirotor drones for VT-UVA and contributing our data.
Download our new paper for free on global phase space structures in a model of passive descent, with simplied models of behaviors such as tumbling leaves, gliding animals, etc. More here, including interactive visualization of the 3D phase space structures.
Field campaign exposes students to data and decisions research at the interface of engineering and biology. See the news article about the Spring Break REU campaign put on by David Schmale and me.
See our new Nonlinear Dynamics paper on a trajectory-free approximation of phase space structures using the trajectory divergence rate. More here.
Congratulations to Peter Nolan on passing his PhD defense! See his defense talk on Youtube here and read his thesis on Experimental and Theoretical Developments in the Application of Lagrangian Coherent Structures to Geophysical Transport
See our new open access free Sensors paper on a method for detecting atmospheric Lagrangian coherent structures using a single fixed wing unmanned aircraft system. More here.
See the 1-minute NSF video about our group's work on predicting the motion of material at the ocean surface, with applications to search-and-rescue, oil spills, and harmful algal blooms.
New paper on detecting Lagrangian coherent structures directly using simultaneous atmospheric measurments with drones (unmanned aerial vehicles, UAVs) published in Sensors
See the press release about a new NSF funded project to apply new applied math techniques to improve forecasts of contaminant spread in the oceans, floods, and atmosphere - combining reduced order modeling and Lagrangian coherent structures. In collaboration with Traian Iliescu in the Virginia Tech Math Dept.
New article in Physical Review E on Experimental validation of phase space conduits of transition between potential wells just published. Can also access the 2-pager extended abstract for NODYCON 2019 here.
New article on Wind-driven spume droplet production and the transport of Pseudomonas syringae from aquatic environments published open-access in PeerJ. See related video.
I will be attending 2018 SACNAS: The National Diversity in STEM Conference in San Antonio, Texas during October 11-13. I will be at the Virginia Tech College of Engineering booth (#520). Email me if you'd like to meet.
Interested in graduate school in mechanics? Take integrated coursework on fluids, solids, dynamics, and biomechanics and get a MS or PhD in Engineering Mechanics from Virginia Tech. Apply to visit us for free during our Prospective Student Weekend Oct 19-20. Deadline to apply is September 21. Apply now by filling out a short survey and uploading your CV.
See the new video on our recent ocean experiments using simulataneous drone and water-based assets, which has applications to search-and-rescue, hazard containment, oil spills and distaster relief. All part of the NSF Advanced Lagrangian Prediction for Hazards Assessment (ALPHA) project.
Congratulations to Gary Nave on defending his thesis to become a PhD! Watch his defense on video here.
Congratulations to Isaac Yeaton on defending his thesis to become a PhD!
Global dynamics of non-equilibrium gliding in animals has been selected as one of the top 10 Highlights of 2017 by the journal Bioinspiration & Biomimetics, which includes the best and most influential research published in the area
Article on A tube dynamics perspective on stability transitions: An example based on snap-through buckling, which extends recent theory to structural mechanics and the effects of dissipation. In collaboration with J. Zhong and L.N. Virgin.
Article on Control of gliding in flying snakes, which sets the stage for development of multi-link flying snake robots. In collaboration with F. Jafari, S. Tahmasian, and J.J. Socha.
New article on Tube dynamics and low energy Earth-Moon transfers in the 4-body system, on using Lagrangian coherent structures in the time-varying N-body problem to generalize the geometric framework of separatrix tubes in phase space governing escape and capture. In collaboration with Kaori Onozaki and Prof. Hiroaki Yoshimura of Waseda Uniersity (Japan).
New article on a Computational Method for Phase Space Transport with Applications to Lobe Dynamics and Rate of Escape in collaboration with Francois Lekien and former student Shibabrat Naik.
Congratulations to PhD student Gary Nave on receiving the Outstanding Graduate Student Leader award by the Virginia Tech Division of Student Affairs.
New Featured Article in Bioinspiration & Biomimetics on Global dynamics of non-equilibrium gliding in animals with student Isaac Yeaton and Jake Socha. Download for free to learn about dynamical systems analysis of the velocity phase space of animal glides. More info, including supplemental information here.
Congratulations to undergrad researcher Tom Magelinski, chosen as this year's
BEAM Outstanding Senior!
Read the article High-Flying Microbes in Scientific American; other info here
Want to know more about high-flying microbes riding air currents across the globe? Check out a video and a scientific review article in addition the Scientific American article
We are still accepting applicants to both the Engineering Science and Mechanics and Biological Transport graduate programs. Contact me for more info.
Ross co-wrote "High-flying microbes", an article on dispersal of airbone microbes via highways in the sky with David Schmale for Scientific American, February 2017 issue. See Virginia Tech press release
Paper on 'Geometry of escaping dynamics in nonlinear ship motion' with S. Naik, applies tube dynamics to the ocean engineering application of ship capsize
Congratulations to Dr. Shibabrat Naik on defending his dissertation to earn a PhD in Engineering Mechanics!
Paper on 'Tube dynamics and low energy trajectory from the earth to the moon in the coupled three-body system' presented at International Conference on Astrodynamics Tools and Techniques
Ross gave a talk on 'Lagrangian transport and mixing in fluids from geometric, probabilistic, and topological perspectives.' at workshop Numerical Analysis and Predictability of Fluid Motion (hosted by the Pitt Math Dept.). See the slides
Congratulations to Dr. Renee Pietsch on defending her dissertation to earn a PhD in Biology!
Ross gave a talk on 'Escape from potential wells in multi-dimensional systems: experiments and partial control' at Dynamics Days US 2016 in Durham, NC (hosted by Duke Physics Dept.). See the slides
If you're at the 2016 SICB annual meeting in Portland, check out Isaac Yeaton's talk on the highest resolution flying snake experiments ever performed; on Wednesday, Jan 6. (SICB = Society of Integrative and Comparative Biology)
new paper in European Journal of Plant Pathology entitled Identification of meteorological predictors of Fusarium graminearum ascospore release using correlation and causality analyses where we use new methods to detect which environmental factors cause the release of airborne plant pathogens from diseased agricultural fields
New paper published in Nonlinear Processes in Geophysics entitled Local finite-time Lyapunov exponent, local sampling and probabilistic source and destination regions where we show the connection between large-scale Lagrangian coherent structures in geophysical flows and consecutively released or collected samples in field experiments. With Amir BozorgMagham and David Schmale. Links to videos here
Ross named Virginia Tech Scholar of the Week "for his work to make an unpredictable world more predictable".
New paper published in Annals of Biomedical Engineering entitled Comparing Postural Stability Entropy Analyses to Differentiate Fallers and Non-fallers where we show we can predict which elderly adults are prone to falls.
Press release on our new NSF project by a multi-university team on forecasting where damaging contaminants in the ocean or atmosphere go.
The lab is now on Twitter. Follow us @RossDynamicsLab
Ross and a team of other collaborators at Virginia Tech, MIT, Woods Hole, and Berkeley have been awarded a nearly $3 million grant from the NSF for a project on
Advanced Lagrangian Methods for Prediction, Mitigation and Response to Environmental Flow Hazards
New paper published in Annual Review of Phytopathology entitled Highways in the Sky: Scales of Atmospheric Transport of Plant Pathogens. This is a joint review article with my long-time collaborator David Schmale.
Ross gave a talk on 'Experimental Verification of Criteria for Escape from a Potential Well in a Multi-degree of Freedom System' at the SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah.
From the archives: Ross' talk on the Interplanetary Superhighway from 2004 is finally on YouTube. So are many other talks and simulations
See new paper in the journal Agricultural and Forest Meteorology on Experimental validation of a long-distance transport model for plant pathogens: application to Fusarium graminearum with A.J. Prussin, Sloan Fellow at Virginia Tech/Pittsburgh. Youtube video of pathogen spread here
See the dynamics videos which the Dynamics II class (junior-level dynamics, ESM 3124) put together
See new paper on Atmospheric Lagrangian coherent structures considering unresolved turbulence and forecast uncertainty with Amir BozorgMagham of the Univ. of Maryland.
Ross will be speaking on October 18 at a panel open to the public on 'Contagions' related to the spread of disease. Details here. This is part of the installation ceremonies of Virginia Tech's new university president Timothy Sands.
The slides are
here (w/o movies).
See new paper on Experimental determination of three-dimensional finite-time Lyapunov exponents in multi-component flows in the journal Experiments in Fluids with Georgia Tech postdoc (and former PhD student) Sam Raben
Ross speaking at CDS@20, the 20th anniversary of the Control and Dynamical Systems (CDS) PhD program at Caltech. My talk.
See new paper on Seasonal associations and atmospheric transport distances of fungi in the genus Fusarium collected with unmanned aerial vehicles and ground-based sampling devices in the journal Atmospheric Environment
See new paper on A theoretical analysis of pitch stability during gliding in flying snakes in the journal Bioinspiration & Biomimetics
Ross to give talk at Cornell on May 2, Center for Applied Mathematics colloquium
Two new papers on aerobiology appearing in Plant Disease based on MultiSTEPS trainee AJ Prussin's field work, Estimating the Production and Release of Ascospores from a Field-Scale Source of Fusarium graminearum Inoculum and Monitoring the Long-Distance Transport of Fusarium graminearum from Field-Scale Sources of Inoculum
Congratulations to Amir BozorgMagham on defending his PhD in Engineering Mechanics!
Congratulations to Nick Sharp. His programming team has advanced to the 2014 ACM-ICPC World Finals in Ekaterinurg, Russia this summer.
See new paper on Computation of finite time Lyapunov exponents from time resolved particle image velocimetry data in Experiments in Fluids, about improving the accuracy of Lagrangian coherent structure (LCS) calculations from particle tracking in fluid experiments
Browse last year's projects in Frontiers in Dynamical Systems. Be sure to request the course for Spring 2014 (see ad)
Please sign up for two classes in Spring 2014 which I'm teaching: ESM 6984 SS: Frontiers in Dynamical Systems and ESM 6314 Advanced Dynamics -- links go to the course announcements
Two new talks posted: "Geophysical transport structure and ecology: challenges and opportunities" and "Identifying transport structure: set-oriented FTLE,
bifurcations of transfer operator modes, and predicting critical transitions"
Congratulations to David Schmale for being named one of Popular Science's Brilliant Ten for 2013!
From September to December, Ross will be visiting faculty at ICMAT (Institute of Mathematical Sciences) in Madrid, Spain. If you'll be in the area, let me know!
Congratulations to Sam Raben on finishing his PhD in Mechanical Engineering and starting as a Joesph Ford Postdoctoral Fellow at Georgia Tech!
Ross to speak at workshop in September on Uncovering Transport Barriers in Geophysical Flows at the Banff International Research Station for Mathematical Innovation and Discovery
See new paper on Real-time prediction of atmospheric Lagrangian coherent structures based on forecast data: An application and error analysis in Physica D, with lead author Amir BozorgMagham
Come to my session at Snowbird and hear my talk, (abstract here). Slides of the talk are posted here.
Congratulations to Binbin Lin and A.J. Prussin, who just passed their Ph.D. defenses! Congratulations also to Shibabrat Naik for passing his preliminary exam!
Congratulations to my former student Dr. Phanindra Tallapragada (EM PhD '10), who will join Clemson University as an assistant professor of mechanical engineering in Fall 2013!
We found a new faculty member! Congratulations to James Hanna, currently of U Mass, who will be joining ESM in August 2013.
New paper on Topological chaos, braiding and bifurcation of almost-cyclic sets published in Chaos (content includes movies under multimedia)
My former ESM masters student Jeff Twigg is featured in a press release of the Army Research Lab, Army researchers link ground robots for collaborative autonomy
New paper on Capturing near-Earth asteroids around Earth has appeared in Acta Astronautica
New paper on A set oriented definition of the finite-time Lyapunov exponents and coherent sets accepted to Communications in Nonlinear Science and Numerical Simulation
Ross receives 2011-12 Liviu Librescu Prize
Tentative schedule of speakers at International Conference on Flow Dynamics (ICFD), September 19-21, 2012 in Sendai, Japan is available here.