1,720,983 research outputs found

    A combinatorial perturbation method and Arnold's whiskered Tori in vortex dynamics

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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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