A Fast Method for Approximating Invariant Manifolds
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[1] S. Rebay. Efficient Unstructured Mesh Generation by Means of Delaunay Triangulation and Bowyer-Watson Algorithm , 1993 .
[2] Robert J. Sacker,et al. A New Approach to the Perturbation Theory of Invariant Surfaces , 1965 .
[3] Felix F. Wu,et al. A BCU method for direct analysis of power system transient stability , 1994 .
[4] John Guckenheimer,et al. Dynamical Systems: Some Computational Problems , 1993, chao-dyn/9304010.
[5] L. Paul Chew,et al. Guaranteed-Quality Triangular Meshes , 1989 .
[6] William H. Press,et al. Numerical recipes in C , 2002 .
[7] Tassilo Küpper,et al. Computation of Invariant Tori by the Fourier Methods , 1997, SIAM J. Sci. Comput..
[8] J. Smoller. Shock Waves and Reaction-Diffusion Equations , 1983 .
[9] Hinke M. Osinga,et al. Nonorientable Manifolds in Three-Dimensional Vector Fields , 2003, Int. J. Bifurc. Chaos.
[10] Robert D. Russell,et al. Numerical Calculation of Invariant Tori , 1991, SIAM J. Sci. Comput..
[11] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[12] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.
[13] Werner C. Rheinboldt,et al. On the Computation of Simplical Approximations of Implicitly Defined Two-Dimensional Manifolds. , 1994 .
[14] Michael E. Henderson,et al. Computing Invariant Manifolds by Integrating Fat Trajectories , 2005, SIAM J. Appl. Dyn. Syst..
[15] Neil Fenichel. Persistence and Smoothness of Invariant Manifolds for Flows , 1971 .
[16] Alexander Vladimirsky,et al. Ordered Upwind Methods for Hybrid Control , 2002, HSCC.
[17] Mark E. Johnson,et al. Two-dimensional invariant manifolds and global bifurcations: some approximation and visualization studies , 1997, Numerical Algorithms.
[18] B Krauskopf,et al. Global manifolds of vector fields : The general case , 1999 .
[19] J Peraire,et al. Advancing Front Grid Generation , 1998 .
[20] Thomas F. Fairgrieve,et al. AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont) , 1997 .
[21] Michael Dellnitz,et al. The Computation of Unstable Manifolds Using Subdivision and Continuation , 1996 .
[22] Ioannis G. Kevrekidis,et al. The Oseberg Transition: Visualization of Global bifurcations for the Kuramoto-Sivashinsky equation , 2001, Int. J. Bifurc. Chaos.
[23] Philip Holmes,et al. Exploiting Passive Stability for Hierarchical Control , 2002 .
[24] M. Dellnitz,et al. A subdivision algorithm for the computation of unstable manifolds and global attractors , 1997 .
[25] J. Sethian,et al. Fast-phase space computation of multiple arrivals , 2002, Proceedings of the National Academy of Sciences of the United States of America.
[26] Luca Dieci,et al. Computation of invariant tori by the method of characteristics , 1995 .
[27] Bernd Krauskopf,et al. Two-dimensional global manifolds of vector fields. , 1999, Chaos.
[28] Michael E. Henderson,et al. Multiple Parameter Continuation: Computing Implicitly Defined k-Manifolds , 2002, Int. J. Bifurc. Chaos.
[29] Alexander Vladimirsky,et al. Ordered Upwind Methods for Static Hamilton-Jacobi Equations: Theory and Algorithms , 2003, SIAM J. Numer. Anal..
[30] Bernd Krauskopf,et al. Visualizing the structure of chaos in the Lorenz system , 2002, Comput. Graph..
[31] J. Sethian,et al. Ordered upwind methods for static Hamilton–Jacobi equations , 2001, Proceedings of the National Academy of Sciences of the United States of America.