Matches in SemOpenAlex for { <https://semopenalex.org/work/W2143769694> ?p ?o ?g. }
- W2143769694 abstract "The use of geometric methods in classical mechanics has proven to be a fruitful exercise, with the results being of wide application to physics and engineering. Here Professor Marsden concentrates on these geometric aspects, and especially on symmetry techniques. The main points he covers are: the stability of relative equilibria, which is analyzed using the block diagonalization technique; geometric phases, studied using the reduction and reconstruction technique; and bifurcation of relative equilibria and chaos in mechanical systems. A unifying theme for these points is provided by reduction theory, the associated mechanical connection and techniques from dynamical systems. These methods can be applied to many control and stabilization situations, and this is illustrated using rigid bodies with internal rotors, and the use of geometric phases in mechanical systems. To illustrate the above ideas and the power of geometric arguments, the author studies a variety of specific systems, including the double spherical pendulum and the classical rotating water molecule. This book, based on the 1991 LMS Invited Lectures, will be valued by pure and applied mathematicians, physicists and engineers who work in geometry, nonlinear dynamics, mechanics, and robotics." @default.
- W2143769694 created "2016-06-24" @default.
- W2143769694 creator A5018631946 @default.
- W2143769694 date "1992-04-30" @default.
- W2143769694 modified "2023-10-12" @default.
- W2143769694 title "Lectures on Mechanics" @default.
- W2143769694 cites W103985502 @default.
- W2143769694 cites W1229610886 @default.
- W2143769694 cites W126935648 @default.
- W2143769694 cites W1527177198 @default.
- W2143769694 cites W1534305016 @default.
- W2143769694 cites W1541587142 @default.
- W2143769694 cites W1545533256 @default.
- W2143769694 cites W1548148904 @default.
- W2143769694 cites W1575757764 @default.
- W2143769694 cites W1597501691 @default.
- W2143769694 cites W1604145650 @default.
- W2143769694 cites W165028717 @default.
- W2143769694 cites W1681099931 @default.
- W2143769694 cites W1719066964 @default.
- W2143769694 cites W1765177065 @default.
- W2143769694 cites W1818713431 @default.
- W2143769694 cites W1825591403 @default.
- W2143769694 cites W1830528808 @default.
- W2143769694 cites W1833335975 @default.
- W2143769694 cites W185525249 @default.
- W2143769694 cites W1867125879 @default.
- W2143769694 cites W1881689611 @default.
- W2143769694 cites W1892810859 @default.
- W2143769694 cites W1912122176 @default.
- W2143769694 cites W1921530130 @default.
- W2143769694 cites W1924224370 @default.
- W2143769694 cites W1965432532 @default.
- W2143769694 cites W1965778005 @default.
- W2143769694 cites W1966368036 @default.
- W2143769694 cites W1966735798 @default.
- W2143769694 cites W1967308363 @default.
- W2143769694 cites W1967825602 @default.
- W2143769694 cites W1968501155 @default.
- W2143769694 cites W1968688596 @default.
- W2143769694 cites W1969424657 @default.
- W2143769694 cites W1973293814 @default.
- W2143769694 cites W1975070910 @default.
- W2143769694 cites W1975132753 @default.
- W2143769694 cites W1976306285 @default.
- W2143769694 cites W1976815402 @default.
- W2143769694 cites W1977250608 @default.
- W2143769694 cites W1978040684 @default.
- W2143769694 cites W1978900512 @default.
- W2143769694 cites W1979265581 @default.
- W2143769694 cites W1981890426 @default.
- W2143769694 cites W1983160199 @default.
- W2143769694 cites W1984533458 @default.
- W2143769694 cites W1985431669 @default.
- W2143769694 cites W1987659562 @default.
- W2143769694 cites W1987827294 @default.
- W2143769694 cites W1988599578 @default.
- W2143769694 cites W1990025462 @default.
- W2143769694 cites W1993216286 @default.
- W2143769694 cites W1994088960 @default.
- W2143769694 cites W1994246733 @default.
- W2143769694 cites W1994741218 @default.
- W2143769694 cites W1996226029 @default.
- W2143769694 cites W1996438349 @default.
- W2143769694 cites W1999212791 @default.
- W2143769694 cites W1999445557 @default.
- W2143769694 cites W2000520845 @default.
- W2143769694 cites W2002684931 @default.
- W2143769694 cites W2005794798 @default.
- W2143769694 cites W2006266826 @default.
- W2143769694 cites W2006585002 @default.
- W2143769694 cites W2006702955 @default.
- W2143769694 cites W2007089813 @default.
- W2143769694 cites W2007551203 @default.
- W2143769694 cites W2009768154 @default.
- W2143769694 cites W2009827249 @default.
- W2143769694 cites W2012274601 @default.
- W2143769694 cites W2012322577 @default.
- W2143769694 cites W2012388828 @default.
- W2143769694 cites W2013087264 @default.
- W2143769694 cites W2013348732 @default.
- W2143769694 cites W2017981474 @default.
- W2143769694 cites W2019318933 @default.
- W2143769694 cites W2019538066 @default.
- W2143769694 cites W2020409213 @default.
- W2143769694 cites W2022966562 @default.
- W2143769694 cites W2023480901 @default.
- W2143769694 cites W2025365558 @default.
- W2143769694 cites W2027560386 @default.
- W2143769694 cites W2027742085 @default.
- W2143769694 cites W2028430684 @default.
- W2143769694 cites W2029562208 @default.
- W2143769694 cites W2030211848 @default.
- W2143769694 cites W2032405498 @default.
- W2143769694 cites W2035723016 @default.
- W2143769694 cites W2038213678 @default.
- W2143769694 cites W2041253741 @default.
- W2143769694 cites W2041743122 @default.
- W2143769694 cites W2044078245 @default.
- W2143769694 cites W2044154336 @default.