1,720,983 research outputs found
A combinatorial perturbation method and Arnold's whiskered Tori in vortex dynamics
Lim, Chjan C.. (1992). A combinatorial perturbation method and Arnold's whiskered Tori in vortex dynamics. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2284
On Symplectic Tree Graphs
Lim, Chjan. C.. (1988). On Symplectic Tree Graphs. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4914
Existence of Kam Tori in the Phase Space of Vortex Systems
Lim, Chjan. C.. (1989). Existence of Kam Tori in the Phase Space of Vortex Systems. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4976
Spanning Binary Trees, Symplectic Matrices, and Canonical Transformations for Classical N-body Problems
Lim, Chjan C.. (1989). Spanning Binary Trees, Symplectic Matrices, and Canonical Transformations for Classical N-body Problems. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4939
On Singular Hamiltonians: The Existence of Quasi-periodic Solutions and Nonlinear Stability
Lim, Chjan C.. (1988). On Singular Hamiltonians: The Existence of Quasi-periodic Solutions and Nonlinear Stability. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4906
On the Poincare-Whitney circuitspace and other properties of an incidence matrix for binary trees
Lim, Chjan C.. (1990). On the Poincare-Whitney circuitspace and other properties of an incidence matrix for binary trees. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/5171
Time-Reversibility and Particle Sedimentation
Golubitsky, Martin; Krupa, Martin; Lim, Chjan. C.. (1989). Time-Reversibility and Particle Sedimentation. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/5069
Stability of equilibria for a class of time-reversible, Dn xO(2)-symmetric homogeneous vector fields
McComb, I-Heng; Lim, Chjan C.. (1992). Stability of equilibria for a class of time-reversible, Dn xO(2)-symmetric homogeneous vector fields. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2262
Full sign-invertibility and symplectic matrices
Schmidt, David A.; Lim, Chjan C.. (1994). Full sign-invertibility and symplectic matrices. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2574
Singular manifolds and quasi-periodic solutions of Hamiltonians for vortex lattices
A general method for establishing the existence of quasi-periodic solutions of Hamiltonian systems for vortex lattices is illustrated in a simple example involving two degrees of freedom. The geometry of intersecting singular manifolds of the Hamiltonians introduces suitable canonical transformations which put the Hamiltonian into the form of singular weakly coupled oscillators. As by-products of this procedure, additional integrals of motion are found for the leading term in the transformed Hamiltonian. These extra integrals are approximate invariants for the full Hamiltonians.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/27359/1/0000384.pd
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