Search Results - "Marsden, Jerrold E"

Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows by Shadden, Shawn C., Lekien, Francois, Marsden, Jerrold E.

“…This paper develops the theory and computation of Lagrangian Coherent Structures (LCS), which are defined as ridges of Finite-Time Lyapunov Exponent (FTLE)…”
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Hamilton–Pontryagin Integrators on Lie Groups Part I: Introduction and Structure-Preserving Properties by Bou-Rabee, Nawaf, Marsden, Jerrold E.

“…In this paper, structure-preserving time-integrators for rigid body-type mechanical systems are derived from a discrete Hamilton–Pontryagin variational…”
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Optimal Pollution Mitigation in Monterey Bay Based on Coastal Radar Data and Nonlinear Dynamics by Coulliette, Chad, Lekien, Francois, Paduan, Jeffrey D, Haller, George, Marsden, Jerrold E

“…High-frequency (HF) radar technology produces detailed velocity maps near the surface of estuaries and bays. The use of velocity data in environmental…”
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Lagrangian coherent structures in the planar elliptic restricted three-body problem by Gawlik, Evan S., Marsden, Jerrold E., Du Toit, Philip C., Campagnola, Stefano

“…This study investigates Lagrangian coherent structures (LCS) in the planar elliptic restricted three-body problem (ER3BP), a generalization of the circular…”
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The Anisotropic Lagrangian averaged Euler and Navier-Stokes equations by MARSDEN, Jerrold E, SHKOLLER, Steve

“…The purpose of this paper is twofold. First, we give a derivation of the Lagrangian averaged Euler (LAE-α) and Navier-Stokes (LANS-α) equations. This theory…”
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Gyration-radius dynamics in structural transitions of atomic clusters by Yanao, Tomohiro, Koon, Wang S, Marsden, Jerrold E, Kevrekidis, Ioannis G

“…This paper is concerned with the structural transition dynamics of the six-atom Morse cluster with zero total angular momentum, which serves as an illustrative…”
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Discrete Geometric Optimal Control on Lie Groups by Kobilarov, M. B., Marsden, J. E.

“…We consider the optimal control of mechanical systems on Lie groups and develop numerical methods that exploit the structure of the state space and preserve…”
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Variational integrators for constrained dynamical systems by Leyendecker, S., Marsden, J.E., Ortiz, M.

“…A variational formulation of constrained dynamics is presented in the continuous and in the discrete setting. The existing theory on variational integration of…”
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Dirac structures in Lagrangian mechanics Part II: Variational structures by Yoshimura, Hiroaki, Marsden, Jerrold E.

“…Part I of this paper introduced the notion of implicit Lagrangian systems and their geometric structure was explored in the context of Dirac structures. In…”
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Variational integrators for electric circuits by Ober-Blöbaum, Sina, Tao, Molei, Cheng, Mulin, Owhadi, Houman, Marsden, Jerrold E.

“…In this contribution, we develop a variational integrator for the simulation of (stochastic and multiscale) electric circuits. When considering the dynamics of…”
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Structure-preserving model reduction for mechanical systems by Lall, Sanjay, Krysl, Petr, Marsden, Jerrold E

“…This paper focuses on methods of constructing of reduced-order models of mechanical systems which preserve the Lagrangian structure of the original system…”
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Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem by Bloch, A.M., Leonard, N.E., Marsden, J.E.

“…We develop a method for the stabilization of mechanical systems with symmetry based on the technique of controlled Lagrangians. The procedure involves making…”
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Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs by Marsden, Jerrold E., Patrick, George W., Shkoller, Steve

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Dissipation-Induced Instability Phenomena in Infinite-Dimensional Systems by Krechetnikov, Rouslan, Marsden, Jerrold E.

“…This paper develops a rigorous notion of dissipation-induced instability in infinite dimensions as an extension of the classical concept implicitly introduced…”
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Quasivelocities and symmetries in non-holonomic systems by Bloch, Anthony M., Marsden, Jerrold E., Zenkov, Dmitry V.

“…This article is concerned with the theory of quasivelocities for non-holonomic systems. The equations of non-holonomic mechanics are derived using the…”
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The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories by Holm, Darryl D, Marsden, Jerrold E, Ratiu, Tudor S

“…We study Euler–Poincaré systems (i.e., the Lagrangian analogue of Lie–Poisson Hamiltonian systems) defined on semidirect product Lie algebras. We first give a…”
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Global estimation in constrained environments by Kobilarov, Marin, Marsden, Jerrold E, Sukhatme, Gaurav S

“…This article considers the optimal estimation of the state of a dynamic observable using a mobile sensor. The main goal is to compute a sensor trajectory that…”
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The Euler-Poincaré equations and double bracket dissipation by Bloch, Anthony, Krishnaprasad, P. S., Marsden, Jerrold E., Ratiu, Tudor S.

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Covariant balance laws in continua with microstructure by Yavari, Arash, Marsden, Jerrold E.

“…The purpose of this paper is to extend the Green-Naghdi-Rivlin balance of energy method to continua with microstructure. The key idea is to replace the group…”
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Reduction of Dirac structures and the Hamilton-Pontryagin principle by Yoshimura, Hiroaki, Marsden, Jerrold E.

“…This paper develops a reduction theory for Dirac structures that includes, in a unified way, reduction of both Lagrangian and Hamiltonian systems. It includes…”
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