Stability, bifurcation, and control of Hamiltonian systems

Technical Report · Thu Apr 01 00:00:00 EST 1993

DOI:https://doi.org/10.2172/10142335· OSTI ID:10142335

Marsden, J E ^[1]; Ratiu, T S ^[2]

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1. California Univ., Berkeley, CA (United States). Dept. of Mathematics
2. California Univ., Santa Cruz, CA (United States). Dept. of Mathematics

Work is being done on dissipation-induced instabilities, gyroscopic stabilization and its destruction by a small damping for both finite dimensional and certain infinite dimensional systems (such as rotating rods, strings), nonabelian and abelian cases, Euler-Lagrange-Poincare equations, the Routhian having a form of a Lagrangian with a gyroscopic term, Euler-Lagrange equations, etc.

• Research Organization: California Univ., Berkeley, CA (United States). Dept. of Mathematics
• Sponsoring Organization: USDOE, Washington, DC (United States); Department of Defense, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
• DOE Contract Number: FG03-92ER25129
• OSTI ID: 10142335
• Report Number(s): DOE/ER/25129-T1; ON: DE93012103
• Resource Relation: Other Information: PBD: [1993]
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
MECHANICS
HAMILTONIAN FUNCTION
HAMILTONIANS
DYNAMICS
INSTABILITY
PROGRESS REPORT
FLUIDS
PLASMA
EQUATIONS
ANALYTICAL SOLUTION
LAGRANGE EQUATIONS
ROTATION
665000
990200
PHYSICS OF CONDENSED MATTER
MATHEMATICS AND COMPUTERS