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The Dirichlet quotient of point vortex interactions on the surface of the sphere examined by Monte Carlo experiments
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Theory and simulation of real and ideal magnetohydrodynamic turbulence
The constrained planar Nvortex problem: I. Integrability
1.  Department of Aerospace & Mechanical Engineering and Department of Mathematics, University of Southern California, Los Angeles, CA 900891191, United States, United States, United States 
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Joseph Nebus. The Dirichlet quotient of point vortex interactions on the surface of the sphere examined by Monte Carlo experiments. Discrete & Continuous Dynamical Systems  B, 2005, 5 (1) : 125136. doi: 10.3934/dcdsb.2005.5.125 
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Juan J. MoralesRuiz, Sergi Simon. On the meromorphic nonintegrability of some $N$body problems. Discrete & Continuous Dynamical Systems  A, 2009, 24 (4) : 12251273. doi: 10.3934/dcds.2009.24.1225 
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Xavier Perrot, Xavier Carton. Pointvortex interaction in an oscillatory deformation field: Hamiltonian dynamics, harmonic resonance and transition to chaos. Discrete & Continuous Dynamical Systems  B, 2009, 11 (4) : 971995. doi: 10.3934/dcdsb.2009.11.971 
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Guillaume Duval, Andrzej J. Maciejewski. Integrability of Hamiltonian systems with homogeneous potentials of degrees $\pm 2$. An application of higher order variational equations. Discrete & Continuous Dynamical Systems  A, 2014, 34 (11) : 45894615. doi: 10.3934/dcds.2014.34.4589 
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Mitsuru Shibayama. Nonintegrability of the collinear threebody problem. Discrete & Continuous Dynamical Systems  A, 2011, 30 (1) : 299312. doi: 10.3934/dcds.2011.30.299 
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Zhong Tan, Jianfeng Zhou. Higher integrability of weak solution of a nonlinear problem arising in the electrorheological fluids. Communications on Pure & Applied Analysis, 2016, 15 (4) : 13351350. doi: 10.3934/cpaa.2016.15.1335 
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Petteri Piiroinen, Martin Simon. Probabilistic interpretation of the Calderón problem. Inverse Problems & Imaging, 2017, 11 (3) : 553575. doi: 10.3934/ipi.2017026 
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Ludovick Gagnon. Qualitative description of the particle trajectories for the Nsolitons solution of the Kortewegde Vries equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (3) : 14891507. doi: 10.3934/dcds.2017061 
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D. Novikov and S. Yakovenko. Tangential Hilbert problem for perturbations of hyperelliptic Hamiltonian systems. Electronic Research Announcements, 1999, 5: 5565. 
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Marian Gidea, Rafael De La Llave. Topological methods in the instability problem of Hamiltonian systems. Discrete & Continuous Dynamical Systems  A, 2006, 14 (2) : 295328. doi: 10.3934/dcds.2006.14.295 
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