Convergence analysis of a numerical method to solve the adjoint linearized periodic orbit equations

[1]  C. D. Boor,et al.  Collocation at Gaussian Points , 1973 .

[2]  Robert D. Russell,et al.  Collocation Software for Boundary-Value ODEs , 1981, TOMS.

[3]  U. Ascher,et al.  Reformulation of Boundary Value Problems into “Standard” Form , 1981 .

[4]  Edward N. Lorenz,et al.  Irregularity: a fundamental property of the atmosphere* , 1984 .

[5]  H. B. Keller,et al.  A Direct Method for Computing Higher Order Folds , 1986 .

[6]  H. B. Keller,et al.  NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS , 1991 .

[7]  Germán Mato,et al.  Synchrony in Excitatory Neural Networks , 1995, Neural Computation.

[8]  Bard Ermentrout,et al.  Type I Membranes, Phase Resetting Curves, and Synchrony , 1996, Neural Computation.

[9]  L. Trefethen,et al.  Numerical linear algebra , 1997 .

[10]  Thomas F. Fairgrieve,et al.  AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont) , 1997 .

[11]  Bard Ermentrout,et al.  Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students , 2002, Software, environments, tools.

[12]  Willy Govaerts,et al.  MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs , 2003, TOMS.

[13]  Eric Shea-Brown,et al.  On the Phase Reduction and Response Dynamics of Neural Oscillator Populations , 2004, Neural Computation.

[14]  Willy Govaerts,et al.  Numerical Periodic Normalization for Codim 1 Bifurcations of Limit Cycles , 2005, SIAM J. Numer. Anal..

[15]  Willy Govaerts,et al.  Computation of the Phase Response Curve: A Direct Numerical Approach , 2006 .

[16]  W. Govaerts,et al.  Computation of the Phase Response Curve: A Direct Numerical Approach , 2006, Neural Computation.

[17]  Eugene M. Izhikevich,et al.  Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting , 2006 .

[18]  Willy Govaerts,et al.  Interactive continuation tools. , 2007 .

[19]  Bernd Krauskopf,et al.  Numerical Continuation Methods for Dynamical Systems , 2007 .

[20]  Y. Kuznetsov,et al.  New features of the software MatCont for bifurcation analysis of dynamical systems , 2008 .