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Geometric Mechanics, Dynamics and Control

Organizer(s):
Name:	Affiliation:	Country:
Leonardo Colombo	Institute of Mathematical Sciences (ICMAT),Spanish National Research Council (CSIC)	Spain
Manuel de León	Institute of Mathematical Sciences (ICMAT),Spanish National Research Council (CSIC), Real Academia de Ciencias, Real Academia Canaria de Ciencias	Spain
Tomoki Ohsawa	University of Texas at Dallas	USA

Abstract:

Mathematical modeling of dynamical systems plays an important role in many branches of science. Since the second half of the last century, differential geometry has developed into a mathematical discipline with an ever-growing impact on the construction of such models. In particular, ``geometric mechanics” has become the common name that is given to those research activities that are devoted to the application of differential geometry in various fields such as classical mechanics (Newtonian, Lagrangian and Hamiltonian mechanics), dynamical systems, control theory and continuum mechanics. Using the powerful tools and techniques of Riemann geometry, contact geometry, symplectic and Poisson geometry, and exploiting the properties of Lie groups, fiber bundles, connections, distributions, etc., geometric mechanics has contributed a lot to the description and analysis of the structure and properties of mechanical systems, impacting in many fields for engineering applications, theoretical physics, fluids dynamics and material sciences. This special session has a double goal: celebrate the 65th birthday of one of the researchers which enormously contributed to the advance of Geometric Mechanics, Dynamical Systems and Control community, Prof. Anthony Bloch; and to promote the AIMS Journal of Geometric Mechanics by the development of a special volume in honor to Prof. Bloch.

List of approved abstract
Name	Affiliation	Title
Fred C Adams	University of Michigan	Tidal Equilibrium States for Astrophysical Systems
Alexandre Anahory Simoes	Instituto de Ciencias Matematicas - Universidad Autonoma de Madrid	Jacobi equation for nonholonomic systems
Ravi Banavar	Indian Institute of Technology, Bombay	A geometric approach to stabilizing a spherical pendulum on a quadrotor
Bernard Bonnard	University of Burgundy	A 2D-Locomotion for the Copepod Micro-Swimmer
Andy D Borum	Cornell University	Deforming local minima of an optimal control problem
Monique Chyba	University of Hawaii	Multi-agents Path Planning for a Swarm of Unmanned Aerial Vehicles
William A Clark	University of Michigan	The Bouncing Penny and Nonholonomic Impacts
Manuel de Leon	CSIC and Real Academia de Ciencias	Hamiltonian contact systems and dissipative systems
Oscar Fernandez	Wellesley College	The Quantum Mechanics of a Rolling Molecular Nanocar
Helene Frankowska	CNRS and Sorbonne Universite	Domain invariance and viability for solutions of semilinear control systems in Hilbert spaces
Luis C Garcia-Naranjo	IIMAS, UNAM	Relative equilibria of the gravitational 2-body problem in spaces of constant curvature
Fernando F Jimenez	University of Oxford	Continuous and discrete Noether`s fractional conserved quantities for restricted calculus of variations
Thomas Kappeler	University of Zurich	On the integrability of the Benjamin-Ono equation on the torus
Scott Kelly	University of North Carolina at Charlotte	Dynamics of mechanically coupled nonholonomic systems
Eduard Kirr	University of Illinois at Urbana-Champaign	Center Manifold Bifurcations and their Dynamical Implications
Dan Koditschek	University of Pennsylvania	A Hybrid Conley Theorem
Melinda Koelling	Western Michigan University	Control of a single neuron
Matthew D Kvalheim	University of Pennsylvania	Brownian motors, large deviations, and persistent homology
Manuel Lainz Valcazar	ICMAT	Equivalent Lagrangians and the inverse problem on contact systems
Andrew Lewis	Queen`s University	Nonholonomic and variational mechanics
Debra Lewis	UC Santa Cruz	Optimal control models of study habits and academic progress
Anders Lindquist	Chinese Academy of Sciences, Shanghai Jiao Tong University	On the Problem of Maximum Delay Margin in Linear Control
Juan Carlos Marrero	University of La Laguna	On the almost Poisson formulation of symmetric affine nonholonomic mechanical systems
David Martin de Diego	ICMAT-CSIC	Jacobi fields in nonholonomic mechanics
Peter D Miller	University of Michigan	Universal wave breaking in the sine-Gordon equation
Gerard Misiolek	University of Notre Dame	Geometry and analysis of the incompressible Euler equations
Philip J Morrison	University of Texas at Austin	On the Hamiltonian and Metriplectic Structures of Extended Magnetohydrodynamics
Morad Nazari	Embry-Riddle Aeronautical University	Rigid Body Control Design in the Geometric Mechanics Framework
Tomoki Ohsawa	University of Texas at Dallas	Symmetric Representation of Rigid Body Equations and Symplectic Reduction
Edith Padron	University of La Laguna	CONTACT HAMILTONIAN DYNAMICS AND INVARIANT VOLUME
Vakhtang Putkaradze	ATCO SpaceLab/University of Alberta	Integrability and control of figure skating
Chitra Rangan	University of Windsor	Adiabatic Control of Trapped-Ion Quantum States
Shai Revzen	University of Michigan	The Surprising Practicality of Data Driven Geometric Mechanics
Stuart M Rogers	Institute for Mathematics and its Applications	Trajectory Optimization of a Rolling Ball Robot Actuated by Internal Point Masses
Nicola Sansonetto	University of Padova	Gauge momenta, Hamiltonisation and integrability in nonholonomic mechanics
Amit Sanyal	Syracuse University	Finite-time Stability of Discrete-Time Systems on Lie Groups
Harsh Sharma	Virginia Tech	Performance Assessment of Energy-preserving, Adaptive Time Step Variational Integrators