MARSDEN, JERROLD E. / الرياضيات / الباحثون

المركز الدولي للبحث العلمي

الباحثون

الرياضيات / MARSDEN, JERROLD E.

Marsdencds.caltech.edu

الموضع

Carl F Braun Professor of Engineering and Control & Dynamical Systems
California Institute of Technology, Pasadena, USA.

He was the founding director of the Field's Institute in Toronto in 1991

مواضيع البحث

Marsden is considered to be one of the world's leading figures in theoretical and numerical mechanics.

He has done extensive research in the area of geometric mechanics, with applications to rigid body systems, fluid mechanics, elasticity theory, plasma physics, as well as to general field theory. His work in dynamical systems and control theory emphasizes how it relates to mechanical systems and systems with symmetry. He is one of the original founders in the early 1970's of reduction theory for mechanical systems with symmetry, which remains an active and much studied area of research today.

Expertise:

Mechanics, dynamics and control systems. Mechanical systems with symmetry analyzed using geometric, analytical, and computational techniques as well as dynamical systems, control theory, and bifurcation theory. Applications are made to a variety of engineering and spacecraft systems.

الجوائز

2005 - SIAM von Neumann Lecture and Prize
2002 - Workshop on Geometry, Dynamics, and Mechanics in honour of the 60th birthday of J. E. Marsden
2000 - Max Planck Research Award

المنشورات

Vela-Arevalo, L. and J. E. Marsden [2004] Time-frequency analysis of the restricted three-body problem: Transport and resonance transitions, Classical and Quantum Gravity, 21 (2004), S351-S375.

Lew, A., J. E. Marsden, M. Ortiz, and M. West [2004] An overview of variational integrators, Finite Element Methods: 1970's and Beyond, (2004), 98-115, CIMNE Barcelona.

Lew, A., J. E. Marsden, M. Ortiz, and M. West [2004] Variational time integrators, Int. J. Numer. Methods Engrg., 60 (2004), 153-212.

Bou-Rabee, N. M., J. E. Marsden, and L. A. Romero [2004] Tippe-top inversion as a dissipation-induced instability, SIAM J. Applied Dynamical Systems, 3 (2004), 352-377.

Gomez, G., W. S. Koon, M. W. Lo, J. E. Marsden, J. Masdemont and S. D. Ross [2004] Connecting orbits and invariant manifolds in the spatial restricted three-body problem, Nonlinearity, 17 (2004), 1571-1606.

Koon, W. S., J. E. Marsden, S. Ross, M. Lo, and D. J. Scheeres [2004] Geometric mechanics and the dynamics of asteroid pairs, Annals of the NY Acad. of Sciences, 1017 (2004), 11-38.

Holm, D.D. and J.E. Marsden [2004] Momentum maps and measure-valued solutions (peakons, filaments and sheets) for the EPDiff equation, In The Breadth of Symplectic and Poisson Geometry, A Festshrift for Alan Weinstein, 203-235, Progr. Math., 232, J.E. Marsden and T.S. Ratiu, Editors, Birkhäuse Boston, Boston, MA, 2004.

Chang, D. and J. E. Marsden [2004] Reduction of controlled Lagrangian and Hamiltonian systems with symmetry, SIAM J. Control and Optimization, 43, (2004), 277-300.

Lekien, F., C. Coulliette, R. Bank, and J.E. Marsden [2004] Open-boundary modal analysis: interpolation, extrapolation, and filtering, J. of Geophysical Research, 109, (2004), C12004.

Junge, O. and J.E. Marsden and I. Mezic Uncertainty in the dynamics of conservative maps, Proc. CDC, 43, (2004), 2225-2230.

Woolsey, C., C. K. Reddy, A. M. Bloch, D. E. Chang, N. E. Leonard and J. E. Marsden Controlled Lagrangian systems with gyroscopic forcing and dissipation, European Journal of Control, 10, number 5, 2004.

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