Martin Golubitsky

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All published works

Action	Title	Year	Authors
+ PDF Chat	Homeostasis in Input-Output Networks: Structure, Classification and Applications	2024	Fernando Antoneli Martin Golubitsky Jiaxin Jin Ian Stewart
+ PDF Chat	Homeostasis in Input-Output Networks Structure, Classification and Applications	2024	Fernando Antoneli Martin Golubitsky Jiaxin Jin Ian Stewart
+ PDF Chat	Breaking Indecision in Multiagent, Multioption Dynamics	2023	Alessio Franci Martin Golubitsky Ian Stewart Anastasia Bizyaeva Naomi Ehrich Leonard
+	Chapter 10: Formal Theory of Balance and Quotients	2023	Martin Golubitsky Ian Stewart
+	Homeostasis Patterns	2023	W.J. Duncan Fernando Antoneli Janet Best Martin Golubitsky Jiaxin Jin F Nijhout Mike Reed Ian Stewart
+	Homeostasis in Gene Regulatory Networks	2023	Fernando Antoneli Martin Golubitsky Jiaxin Jin Ian Stewart
+	Breaking indecision in multi-agent, multi-option dynamics	2022	Alessio Franci Martin Golubitsky Ian Stewart Anastasia Bizyaeva Naomi Ehrich Leonard
+ PDF Chat	The structure of infinitesimal homeostasis in input–output networks	2021	Yangyang Wang Zhengyuan Huang Fernando Antoneli Martin Golubitsky
+	The Dynamics of Multi-agent Multi-option Decision Making	2019	Alessio Franci Martin Golubitsky Naomi Ehrich Leonard
+	A model-independent theory of consensus and dissensus decision making	2019	Alessio Franci Martin Golubitsky Anastasia Bizyaeva Naomi Ehrich Leonard
+	A model-independent theory of consensus and dissensus decision making	2019	Alessio Franci Martin Golubitsky Anastasia Bizyaeva Naomi Ehrich Leonard
+	Homeostasis with Multiple Inputs	2018	Martin Golubitsky Ian Stewart
+	A Singularity Theory Approach To Steady-State Bifurcation Theory	2017	Martin Golubitsky David J. Schaeffer
+	Flow invariant subspaces for lattice dynamical systems	2006	Fernando Antoneli Ana Paula S. Dias Martin Golubitsky Yunjiao Wang
+	Finite Difference Schemes for the Heat Equation	2005	Jerrold E. Marsden L. Sirovich Martin Golubitsky Willi Jäger
+	Two-Point Boundary Value Problems	2005	J.E. Marsden L. Sirovich Martin Golubitsky Willi Jäger
+	Introduction to Partial Differential Equations	2005	Aslak Tveito Ragnar Winther Jerrold E. Marsden L. Sirovich Martin Golubitsky Willi Jäger
+	Linear Stability	2002	Martin Golubitsky Ian Stewart
+	Steady-State Bifurcations in Euclidean Equivariant Systems	2002	Martin Golubitsky Ian Stewart
+	A formula for a symmetry detective	1997	David Gillis Martin Golubitsky
+	An Example of Symmetry Breaking to Heteroclinic Cycles	1997	Chuanze Hou Martin Golubitsky
+	Coupled cells with internal symmetry: II. Direct products	1996	B. Dionne Martin Golubitsky Ian Stewart
+ PDF Chat	Symmetries of periodic solutions for planar potential systems	1996	Martin Golubitsky Jian-min Mao Matthew Nicol
+	Symmetry detectives for SBR attractors	1995	Martin Golubitsky Matthew Nicol
+ PDF Chat	The constrained Liapunov-Schmidt procedure and periodic orbits	1995	Martin Golubitsky Jerrold E. Marsden Ian Stewart Michael Dellnitz
+	Time-periodic spatially periodic planforms in Euclidean equivariant partial differential equations	1995	B. Dionne Martin Golubitsky Mary Silber Ian Stewart
+	Coupled Cells: Wreath Products and Direct Products	1994	Martin Golubitsky Ian Stewart B. Dionne
+	An algebraic criterion for symmetric Hopf bifurcation	1993	Martin Golubitsky Ian Stewart
+	The structure of symmetric attractors	1993	Ian Melbourne Michael Dellnitz Martin Golubitsky
+	Nun, denkt er?	1993	Ian Stewart Martin Golubitsky
+	Symmetrische Fraktale	1993	Michael E. Field Martin Golubitsky
+	Planforms in two and three dimensions	1992	B. Dionne Martin Golubitsky
+	Bifurcation and symmetry : cross influence between mathematics and applications	1992	Eugene L. Allgower Klaus Böhmer Martin Golubitsky Symmetry Cross Influences between Mathematics
+	Coupled arrays of Josephson junctions and bifurcation of maps with S<sub>N</sub>symmetry	1991	D. G. Aronson Martin Golubitsky Martin Krupa
+	Bifurcations on hemispheres	1991	Michael Field Martin Golubitsky Ian Stewart
+ PDF Chat	Time-Reversibility and Particle Sedimentation	1991	Martin Golubitsky Martin Krupa Chjan C. Lim
+	Genericity, Bifurcation and Symmetry	1991	Martin Golubitsky
+	A torus bifurcation theorem with symmetry	1990	Stephan A. van Gils Martin Golubitsky
+	Iterates of Maps with Symmetry	1988	Pascal Chossat Martin Golubitsky
+	Group-Theoretic Preliminaries	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Singularities and Groups in Bifurcation Theory	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Equivariant Unfolding Theory	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Symmetry-Breaking in Hopf Bifurcation	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Hopf Bifurcation with O(2) Symmetry	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Equivariant Normal Forms	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Introduction	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	A classification of degenerate Hopf bifurcations with O(2) symmetry	1987	Martin Golubitsky Mark Roberts
+	Generic bifurcation of Hamiltonian systems with symmetry	1987	Martin Golubitsky Ian Stewart Jerrold E. Marsden
+	Hopf-Hopf mode interactions with O(2) symmetry	1986	Pascal Chossat Martin Golubitsky Barbara Lee Keyfitz
+	Multiparameter Bifurcation Theory	1986	Martin Golubitsky John Guckenheimer
+	Singularities and Groups in Bifurcation Theory: Volume I	1985	David G. Schaeffer Martin Golubitsky
+	A Brief Introduction to the Central Ideas of the Theory	1985	Martin Golubitsky David G. Schaeffer
+	An Example of Moduli	1985	Martin Golubitsky David G. Schaeffer
+ PDF Chat	Hopf Bifurcation in the presence of symmetry	1985	Martin Golubitsky Ian Stewart
+	Pattern selection with O(3) symmetry	1984	Edwin Ihrig Martin Golubitsky
+ PDF Chat	Hopf bifurcation in the presence of symmetry	1984	Martin Golubitsky Ian Stewart
+ PDF Chat	The Morse Lemma in Infinite Dimensions via Singularity Theory	1983	Martin Golubitsky Jerrold E. Marsden
+	Bifurcation involving the hexagonal lattice	1983	Ernesto Buzano Martin Golubitsky
+	Bifurcations with <i>O</i>(3) symmetry including applications to the Bénard problem	1982	Martin Golubitsky David J. Schaeffer
+	A theory for imperfect bifurcation via singularity theory	1979	Martin Golubitsky David J. Schaeffer
+	Graduate Texts in Mathematics	1977	Rajendra Bhatia Glen Bredon Wolfgang Walter Joseph Rotman M. Ram Murty Jane Gilman Peter Walters Martin Golubitsky Ioannis Karatzas Henri Cohen
+	An example of moduli for singular symplectic forms	1976	Martin Golubitsky David Tischler
+ PDF Chat	On the Local Stability of Differential Forms	1976	Martin Golubitsky David Tischler
+ PDF Chat	The nonexistence of globally stable forms	1976	Martin Golubitsky David Tischler
+ PDF Chat	On the local stability of differential forms	1976	Martin Golubitsky David Tischler
+	Stability of shock waves for a single conservation law	1975	Martin Golubitsky David G. Schaeffer
+	Contact equivalence for Lagrangian manifolds	1975	Martin Golubitsky Victor Guillemin
+	Contact equivalence for Lagrangian submanifolds	1975	Martin Golubitsky
+	Preliminaries on Manifolds	1973	Martin Golubitsky Victor Guillemin
+	Stable mappings and their singularities	1973	Martin Golubitsky Victor Guillemin
+	The Malgrange Preparation Theorem	1973	Martin Golubitsky Victor Guillemin
+	Various Equivalent Notions of Stability	1973	Martin Golubitsky Victor Guillemin
+	Stable Mappings and Their Singularities	1973	Martin Golubitsky Victor Guillemin
+	Classification of Singularities. Part II: The Local Ring of a Singularity	1973	Martin Golubitsky Victor Guillemin
+	Classification of Singularities. Part I: The Thom-Boardman Invariants	1973	Martin Golubitsky Victor Guillemin
+ PDF Chat	Primitive actions and maximal subgroups of Lie groups	1972	Martin Golubitsky
+ PDF Chat	Primitive subalgebras of exceptional Lie algebras	1971	Martin Golubitsky Bruce Rothschild
+ PDF Chat	Primitive subalgebras of exceptional Lie algebras	1971	Martin Golubitsky Bruce Rothschild

Common Coauthors

Coauthor	Papers Together
Ian Stewart	26
David G. Schaeffer	11
Victor Guillemin	8
Fernando Antoneli	6
Naomi Ehrich Leonard	5
Jerrold E. Marsden	5
Alessio Franci	5
David Tischler	4
Anastasia Bizyaeva	4
B. Dionne	4
David J. Schaeffer	3
Willi Jäger	3
Martin Krupa	2
Matthew Nicol	2
Pascal Chossat	2
L. Sirovich	2
Jiaxin Jin	2
Jiaxin Jin	2
Bruce Rothschild	2
Michael Dellnitz	2
Eugene L. Allgower	1
Barbara Lee Keyfitz	1
Jane Gilman	1
Ioannis Karatzas	1
Joseph Rotman	1
Tom M. Apostol	1
Jiřı́ Matoušek	1
David Gillis	1
Ana Paula S. Dias	1
Glen Bredon	1
Chjan C. Lim	1
John Stillwell	1
Gaisi Takeuti	1
Chuanze Hou	1
Janet Best	1
Yangyang Wang	1
John L. Kelley	1
Michael Field	1
Jian-min Mao	1
Henri Cohen	1
Rajendra Bhatia	1
L. Sirovich	1
Wolfgang Walter	1
Mike Reed	1
Béla Bollobás	1
J.E. Marsden	1
Saunders Mac Lane	1
Mark Roberts	1
Raoul Bott	1
D. G. Aronson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Singularities and Groups in Bifurcation Theory	1988	Martin Golubitsky Ian Stewart David G. Schaeffer	17
+ PDF Chat	Hopf Bifurcation in the presence of symmetry	1985	Martin Golubitsky Ian Stewart	9
+	Pattern selection with O(3) symmetry	1984	Edwin Ihrig Martin Golubitsky	8
+	Bifurcations in the presence of a symmetry group	1973	David Ruelle	7
+	Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups	1989	Mike Field R. W. Richardson	6
+	Stable Mappings and Their Singularities	1973	Martin Golubitsky Victor Guillemin	5
+	Coupled arrays of Josephson junctions and bifurcation of maps with S<sub>N</sub>symmetry	1991	D. G. Aronson Martin Golubitsky Martin Krupa	5
+	Multiparameter Bifurcation Theory	1986	Martin Golubitsky John Guckenheimer	5
+	Structurally stable heteroclinic cycles	1988	John Guckenheimer Philip Holmes	5
+	Lectures on Lie groups	1969	J. F. Adams	4
+	Branching in the Presence of Symmetry	1983	D. H. Sattinger	4
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes	4
+	Quasi-Periodic Waves Along a Pulsating Propagating Front in a Reaction-Diffusion System	1984	Thomas Erneux B. J. Matkowsky	4
+	Introduction to Compact Transformation Groups	1972	Glen E. Bredon	4
+	Coupled stationary bifurcations in non-flux boundary value problems	1987	Dieter Armbruster Gerhard Dangelmayr	3
+ PDF Chat	Group Theoretic Methods in Bifurcation Theory	1979	D. H. Sattinger	3
+ PDF Chat	Equivariant dynamical systems	1980	M. J. Field	3
+	Stability of C{su∞} mappings, III: Finitely determined map-germsmappings, III: Finitely determined map-germs	1968	John N. Mather	3
+	On the degenerate Hopf bifurcation with 𝑂(2) symmetry	1986	Edgar Knobloch	3
+	A classification of degenerate Hopf bifurcations with O(2) symmetry	1987	Martin Golubitsky Mark Roberts	3
+	Symmetry groups and their applications	1972	Willard Miller	3
+	On differentiable functions with isolated critical points	1969	Detlef Gromoll Wolfgang Meyer	3
+	A regularity theorem for conservation laws	1973	David G. Schaeffer	3
+	Stable mappings and their singularities	1973	Martin Golubitsky Victor Guillemin	3
+	Semisimple Subalgebras of Semisimple Lie Algebras	2020	Mychelle Parker	3
+ PDF Chat	Sur les singularités des formes différentielles	1970	Jean Martinet	3
+ PDF Chat	1-forms with the exterior derivative of maximal rank	1968	Tadashi Nagano	2
+	The structure of symmetric attractors	1993	Ian Melbourne Michael Dellnitz Martin Golubitsky	2
+	An algebraic criterion for symmetric Hopf bifurcation	1993	Martin Golubitsky Ian Stewart	2
+	Planforms in two and three dimensions	1992	B. Dionne Martin Golubitsky	2
+	Heteroclinic cycles and modulated travelling waves in a system with D4 symmetry	1992	Sue Ann Campbell Philip Holmes	2
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki	2
+	The concepts of irreducibility and full indecomposability of a matrix in the works of Frobenius, König and Markov	1977	Hans Schneider	2
+ PDF Chat	Idéaux et fonctions différentiables. I	1968	Jean-Claude Tougeron	2
+ PDF Chat	Singularities of vector fields	1974	Floris Takens	2
+	Oscillatory integrals, lagrange immersions and unfolding of singularities	1974	J. J. Duistermaat	2
+ PDF Chat	Stable manifolds for hyperbolic sets	1969	Morris W. Hirsch Charles Pugh	2
+ PDF Chat	Fourier integral operators. I	1971	Lars Hörmander	2
+	Symmetry-breaking and branching patterns in equivariant bifurcation theory, I	1992	Mike Field R. W. Richardson	2
+	Local normal forms of functions	1976	Vladimir I. Arnold	2
+	Loss of stability and bifurcation at a double eigenvalue	1973	J. B. McLeod D. H. Sattinger	2
+	Stationary bifurcation to limit cycles and heteroclinic cycles	1991	Martha S. Field James W. Swift	2
+	Hopf-Hopf mode interactions with O(2) symmetry	1986	Pascal Chossat Martin Golubitsky Barbara Lee Keyfitz	2
+	The invariance of Poincaré's generating function for canonical transformations	1972	Alan Weinstein	2
+	Symmetry groups of attractors	1994	Peter Ashwin Ian Melbourne	2
+	Planforms in three dimensions	1993	B. Dionne	2
+ PDF Chat	The nonexistence of globally stable forms	1976	Martin Golubitsky David Tischler	2
+	Bifurcating Periodic Solutions in Rotationally Symmetric Systems	1982	Anil K. Bajaj	2
+	Iterates of Maps with Symmetry	1988	Pascal Chossat Martin Golubitsky	2
+ PDF Chat	Primitive actions and maximal subgroups of Lie groups	1972	Martin Golubitsky	2