J. Sanders

发表

Averaging Methods in Nonlinear Dynamical Systems

F. Verhulst, J. Sanders, 1985 .

Limit cycles in the Josephson equations

J. Sanders, R. Cushman, 1986 .

The Stanley decomposition of the harmonic oscillator

J. Sanders, L. Billera, R. Cushman, 1988 .

Integrable systems and their recursion operators

J. Sanders, Jing Ping Wang, 2001 .

Coupled cell networks: Semigroups, Lie algebras and normal forms

Bob W. Rink, J. Sanders, 2012, 1209.3209.

Graph fibrations and symmetries of network dynamics

Bob W. Rink, J. Sanders, E. Nijholt, 2014, 1410.6021.

Projection blocks in homogeneous coupled cell networks

Bob W. Rink, J. Sanders, E. Nijholt, 2016, 1612.05213.

Bifurcation analysis for spherically symmetric systems using invariant theory

Jan A. Sanders, Reiner Lauterbach, J. Sanders, 1997 .

Further reduction of the Takens-Bogdanov normal form

Jan A. Sanders, J. Sanders, A. Baider, 1992 .

A note on optimal fish harvest

J. Sanders, 1978 .

Transvection and differential invariants of parametrized curves

J. Sanders, G. M. Beffa, 2008 .

Splitting algorithm for nilpotent normal forms

Jan A. Sanders, Richard Cushman, J. Sanders, 1988 .

Normal form for maps with nilpotent linear part

J. Sanders, Fahimeh Mokhtari, Ernst Roell, 2020, Proceedings of the Royal Society A.

Vector potential normal form classification for completely integrable solenoidal nilpotent singularities

J. Sanders, M. Gazor, Fahimeh Mokhtari, 2017, Journal of Differential Equations.

Second quantization and averaging: Fermi resonance

J. Sanders, 1981 .

Report on the driven Josephson equation

J. Sanders, 1983 .

On the Passage through Resonance

J. Sanders, 1979 .

Integrable Systems in n-dimensional Riemannian Geometry

J. Sanders, Jing Ping Wang, 2003, math/0301212.

Integrable Systems in Three-Dimensional Riemannian Geometry

Jan A. Sanders, Jing Ping Wang, Gloria Marí Beffa, 2002, J. Nonlinear Sci..

Transvectants, Modular Forms, and the Heisenberg Algebra

Jan A. Sanders, Peter J. Olver, P. Olver, 2000, Adv. Appl. Math..

INTEGRABLE SYSTEMS IN SYMPLECTIC GEOMETRY

J. Sanders, E. Asadi, 2007, Glasgow Mathematical Journal.

On the integrability of systems of second order evolution equations with two components

J. Sanders, Jing Ping Wang, 2004 .

Almost integrable evolution equations

J. Sanders, Peter H. van der Kamp, 2002 .

On Integrability of Systems of Evolution Equations

J. Sanders, F. Beukers, Jing Ping Wang, 2001 .

ON THE INTEGRABILITY OF HOMOGENEOUS SCALAR EVOLUTION EQUATIONS

Jan A. Sanders, Jing Ping Wang, J. Sanders, 1998 .

One symmetry does not imply integrability

Jan A. Sanders, Jing Ping Wang, Frits Beukers, 1998 .

Multilinear Hirota operators, modular forms and the Heisenberg algebra.

J. Sanders, 1999 .

On the Integrability of Non-polynomial Scalar Evolution Equations

J. Sanders, Jing Ping Wang, 2000 .

Number Theory and the Symmetry Classification of Integrable Systems

J. Sanders, Jing Ping Wang, 2009 .

Classification of Symmetry-Integrable evolution equations.

P. Olver, J. Sanders, Jing Ping Wang, 1999 .

A Remark on Nonlocal Symmetries for the Calogero–Degasperis–Ibragimov–Shabat Equation

J. Sanders, Artur Sergyeyev, 2003, nlin/0309023.

The complete set of generalized symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation

J. Sanders, Artur Sergyeyev, 2001 .

Equivariant decomposition of polynomial vector fields

J. Sanders, Fahimeh Mokhtari, 2019, Communications in Contemporary Mathematics.

Center Manifolds of Coupled Cell Networks

Bob W. Rink, Jan A. Sanders, Eddie Nijholt, 2016, SIAM J. Math. Anal..

ON INTEGRABLE SYSTEMS IN 3-DIMENSIONAL RIEMANNIAN GEOMETRY

J. Sanders, Jing Ping Wang, 2007 .

The (Driven) Josephson equation: An exercise in asymptotics

J. Sanders, 1983 .

On the Integrability of Scalar Evolution Equations

J. Sanders, Jing Ping Wang, 2007 .

Combining maple and form to decide on integrability questions

Jan A. Sanders, Jing Ping Wang, J. Sanders, 1998 .

Higher-Dimensional Automorphic Lie Algebras

Jan A. Sanders, Sara Lombardo, Vincent Knibbeler, 2015, Foundations of Computational Mathematics.

On the Classification of Automorphic Lie Algebras

J. Sanders, S. Lombardo, 2009, 0912.1697.

A Survey of Invariant Theory Applied to Normal Forms of Vectorfields with Nilpotent Linear Part

J. Sanders, R. Cushman, 1990 .

On Integrability of Evolution Equations and Representation Theory

J. Sanders, Jing Ping Wang, 2000 .

Classification of conservation laws for KdV-like equations

Jan A. Sanders, Jing Ping Wang, J. Sanders, 1997 .

Normal form theory and spectral sequences

J. Sanders, 2003, math/0303115.

A Spectral Sequence Approach to Normal Forms

J. Sanders, 2002 .

Versal normal form for nonsemisimple singularities

J. Sanders, Fahimeh Mokhtari, 2018, Journal of Differential Equations.

Normal forms for Hopf-Zero singularities with nonconservative nonlinear part

J. Sanders, M. Gazor, Fahimeh Mokhtari, 2011, 1112.2544.

Normal Form in Filtered Lie Algebra Representations

J. Sanders, 2005 .

Normal Form for Nonsemisimple Singularities

J. Sanders, Fahimeh Mokhtari, 2018 .

On the computation of unique normal forms and quadratic convergence

J. Sanders, 2012 .

Unique normal forms: The nilpotent Hamiltonian case

Jan A. Sanders, J. Sanders, A. Baider, 1991 .

Computer Algebra and Differential Equations: Versal normal form computation and representation theory

J. Sanders, 1994 .

Normal form for the (2; n )-nilpotent vector field, using unvariant theory

Jan A. Sanders, Richard Cushman, J. Sanders, 1988 .

A codimension two bifurcation with a third order Picard-Fuchs equation

Jan A. Sanders, Richard Cushman, J. Sanders, 1985 .

Hereditary automorphic Lie algebras

J. Sanders, S. Lombardo, V. Knibbeler, 2015, Communications in Contemporary Mathematics.

Automorphic Lie algebras with dihedral symmetry

J. Sanders, S. Lombardo, V. Knibbeler, 2014, 1410.2914.

The constrained normal form algorithm

J. Sanders, R. Cushman, 1988 .

Melnikov's method and averaging

Jan A. Sanders, J. Sanders, 1982 .

On the Fundamental Theorem of Averaging

J. Sanders, 1983 .

2 0 Ja n 20 03 Integrable Systems in n-dimensional Riemannian Geometry

J. Sanders, Jing Ping Wang, 2008 .

Nonresonant bifurcations with symmetry

Jan A. Sanders, Jack Carr, J. Sanders, 1987 .

The 1:2:1-resonance, its periodic orbits and integrals

J. Sanders, Els van der Aa, 1979 .

Automorphic lie algebras and cohomology of root systems

J. Sanders, S. Lombardo, V. Knibbeler, 2015, 1512.07020.

Integrable Systems in Symplectic Geometry

J. Sanders, E. Asadi, 2009 .

Vector potential normal form classification for completely integrable solenoidal nilpotent singularities

J. Sanders, M. Gazor, Fahimeh Mokhtari, 2017, Journal of Differential Equations.

Stanley decomposition of the joint covariants of three quadratics

J. Sanders, 2007 .

A new transvectant algorithm for nilpotent normal forms

J. Sanders, James Murdock, 2007 .

Ghost Symmetries

P. Olver, J. Sanders, Jing Ping Wang, 2002 .