Jan Bouwe van den Berg

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All published works

Action	Title	Year	Authors
+	Validated integration of semilinear parabolic PDEs	2024	Jan Bouwe van den Berg Maxime Breden Ray Sheombarsing
+ PDF Chat	Periodic localized traveling waves in the two-dimensional suspension bridge equation	2024	Lindsey van der Aalst Jan Bouwe van den Berg Jean‐Philippe Lessard
+ PDF Chat	Constructive proofs for localised radial solutions of semilinear elliptic systems on Rd	2023	Jan Bouwe van den Berg Olivier Hénot Jean‐Philippe Lessard
+	Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points	2023	Jan Bouwe van den Berg Marcio Gameiro Jean‐Philippe Lessard Rob Van der Vorst
+	Validated integration of semilinear parabolic PDEs	2023	Jan Bouwe van den Berg Maxime Breden Ray Sheombarsing
+ PDF Chat	Computer assisted proofs in dynamical systems	2022	Maciej J. Capiński J. D. Mireles James Warwick Tucker Daniel Wilczak Jan Bouwe van den Berg
+ PDF Chat	Large Fronts in Nonlocally Coupled Systems Using Conley–Floer Homology	2022	Bente Hilde Bakker Jan Bouwe van den Berg
+ PDF Chat	Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations	2022	Jan Bouwe van den Berg Jonathan Jaquette J. D. Mireles James
+ PDF Chat	Rotation invariant patterns for a nonlinear Laplace-Beltrami equation: A Taylor-Chebyshev series approach	2022	Jan Bouwe van den Berg Gabriel William Duchesne Jean‐Philippe Lessard
+	Towards computational Morse-Floer homology: forcing results for connecting orbits by computing relative indices of critical points	2022	Jan Bouwe van den Berg Marcio Gameiro Jean‐Philippe Lessard Rob Van der Vorst
+	Constructive proofs for localized radial solutions of semilinear elliptic systems on $\mathbb{R}^d$	2022	Jan Bouwe van den Berg Olivier Hénot Jean‐Philippe Lessard
+	Rigorous validation of a Hopf bifurcation in the Kuramoto–Sivashinsky PDE	2021	Jan Bouwe van den Berg Elena Queirolo
+ PDF Chat	Spontaneous Periodic Orbits in the Navier–Stokes Flow	2021	Jan Bouwe van den Berg Maxime Breden J. LESSARD Lennaert van Veen
+	Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation	2021	Jan Bouwe van den Berg J. Lessard Elena Queirolo
+ PDF Chat	Rigorous numerics for ODEs using Chebyshev series and domain decomposition	2021	Jan Bouwe van den Berg Ray Sheombarsing
+ PDF Chat	A General Method for Computer-Assisted Proofs of Periodic Solutions in Delay Differential Problems	2020	Jan Bouwe van den Berg C. M. Groothedde Jean‐Philippe Lessard
+ PDF Chat	A general framework for validated continuation of periodic orbits in systems of polynomial ODEs	2020	Jan Bouwe van den Berg Elena Queirolo
+ PDF Chat	Optimal periodic structures with general space group symmetries in the Ohta–Kawasaki problem	2020	Jan Bouwe van den Berg Jim Williams
+	Rigorous verification of Hopf bifurcations via desingularization and continuation	2020	Jan Bouwe van den Berg Jean‐Philippe Lessard Elena Queirolo
+	The parameterization method for center manifolds	2020	Jan Bouwe van den Berg Wouter Hetebrij Bob Rink
+	Validated computations for connecting orbits in polynomial vector fields	2020	Jan Bouwe van den Berg Ray Sheombarsing
+	More on the parameterization method for center manifolds	2020	Jan Bouwe van den Berg Wouter Hetebrij Bob Rink
+	Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE	2020	Jan Bouwe van den Berg Elena I. Queirolo
+	Rigorous verification of Hopf bifurcations via desingularization and continuation	2020	Jan Bouwe van den Berg Jean‐Philippe Lessard Elena I. Queirolo
+	Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations	2020	Jan Bouwe van den Berg Jonathan Jaquette J. D. Mireles James
+	Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem	2019	Jan Bouwe van den Berg Jim Williams
+	The parameterization method for center manifolds	2019	Jan Bouwe van den Berg Wouter Hetebrij Bob Rink
+	Validated computations for connecting orbits in polynomial vector fields	2019	Jan Bouwe van den Berg Ray Sheombarsing
+	Spontaneous periodic orbits in the Navier-Stokes flow	2019	Jan Bouwe van den Berg Maxime Breden Jean‐Philippe Lessard Lennaert van Veen
+	Rigorously Computing Symmetric Stationary States of the Ohta--Kawasaki Problem in Three Dimensions	2019	Jan Bouwe van den Berg Jim Williams
+	Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem	2019	Jan Bouwe van den Berg Jim Williams
+	The parameterization method for center manifolds	2019	Jan Bouwe van den Berg Wouter Hetebrij Bob Rink
+	Validated computations for connecting orbits in polynomial vector fields	2019	Jan Bouwe van den Berg Ray Sheombarsing
+	Spontaneous periodic orbits in the Navier-Stokes flow	2019	Jan Bouwe van den Berg Maxime Breden Jean‐Philippe Lessard Lennaert van Veen
+	Large fronts in nonlocally coupled systems using Conley-Floer homology	2019	Bente Hilde Bakker Jan Bouwe van den Berg
+	A proof of Wright's conjecture	2018	Jan Bouwe van den Berg Jonathan Jaquette
+ PDF Chat	A Floer Homology Approach to Traveling Waves in Reaction-Diffusion Equations on Cylinders	2018	Bente Hilde Bakker Jan Bouwe van den Berg Rob Vandervorst
+ PDF Chat	Computer-assisted proofs for radially symmetric solutions of PDEs	2018	István Balázs Jan Bouwe van den Berg J.-Y. Courtois János Dudás Jean‐Philippe Lessard Anett Vörös-Kiss Jim Williams Xi Yuan Yin
+	Continuation of homoclinic orbits in the suspension bridge equation: A computer-assisted proof	2017	Jan Bouwe van den Berg Maxime Breden J. LESSARD Maxime Murray
+	A proof of Wright's conjecture	2017	Jan Bouwe van den Berg Jonathan Jaquette
+	Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof	2017	Jan Bouwe van den Berg Maxime Breden Jean‐Philippe Lessard Maxime Murray
+	A Floer homology approach to travelling waves in reaction-diffusion equations on cylinders	2017	Bente Hilde Bakker Jan Bouwe van den Berg Rob Vandervorst
+	Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof	2017	Jan Bouwe van den Berg Maxime Breden Jean‐Philippe Lessard Maxime Murray
+	A proof of Wright's conjecture	2017	Jan Bouwe van den Berg Jonathan Jaquette
+ PDF Chat	The Poincaré–Bendixson Theorem and the non-linear Cauchy–Riemann equations	2016	Jan Bouwe van den Berg Simone Munaò Robert Vandervorst
+ PDF Chat	On periodic orbits in cotangent bundles of non-compact manifolds	2016	Jan Bouwe van den Berg Federica Pasquotto Thomas O. Rot R. C. A. M. VANDERVORST
+	Braid Floer homology	2015	Jan Bouwe van den Berg Robert Ghrist Robert Vandervorst W. Wójcik
+	Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg--Landau Problem	2015	Jan Bouwe van den Berg C. M. Groothedde Jim Williams
+ PDF Chat	Stationary Coexistence of Hexagons and Rolls via Rigorous Computations	2015	Jan Bouwe van den Berg Andréa Deschênes Jean‐Philippe Lessard J. D. Mireles James
+ PDF Chat	(In-)stability of singular equivariant solutions to the Landau–Lifshitz–Gilbert equation	2013	Jan Bouwe van den Berg Jim Williams
+	Braided connecting orbits in parabolic equations via computational homology	2013	Jan Bouwe van den Berg Sarah Day Robert Vandervorst
+	On periodic orbits in cotangent bundles of non-compact manifolds	2013	Jan Bouwe van den Berg Federica Pasquotto Thomas O. Rot Robert Vandervorst
+	Closed characteristics on non-compact mechanical contact manifolds	2013	Jan Bouwe van den Berg Federica Pasquotto Thomas O. Rot Robert Vandervorst
+	On periodic orbits in cotangent bundles of non-compact manifolds	2013	Jan Bouwe van den Berg F. Pasquotto T. O. Rot Robert Vandervorst
+	Oscillatory solutions of fourth order conservative systems via the Conley index	2012	Jan Bouwe van den Berg Miroslav Kramár Robert Vandervorst
+	(In-)Stability of Singular Equivariant Solutions to the Landau-Lifshitz-Gilbert Equation	2011	Jan Bouwe van den Berg Jim Williams
+ PDF Chat	Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray–Scott Equation	2011	Jan Bouwe van den Berg J. D. Mireles James Jean‐Philippe Lessard Konstantin Mischaikow
+	The Order of Bifurcation Points in Fourth Order Conservative Systems via Braids	2011	Jan Bouwe van den Berg Miroslav Kramár Robert Vandervorst
+	(In-)Stability of Singular Equivariant Solutions to the Landau-Lifshitz-Gilbert Equation	2011	Jan Bouwe van den Berg Jim Williams
+	Travelling waves in a radiation-combustion free-boundary model for flame propagation	2010	Jan Bouwe van den Berg H.B.H. Elrofai Josephus Hulshof
+	Thruster allocation for dynamical positioning	2010	K.J. Poppe Jan Bouwe van den Berg E. Blank Chad Archer M. Redeker M. Kutter Piet Hemker
+	Vanishing beyond all orders: Stokes lines in a water-wave model equation	2009	Jan Bouwe van den Berg John R. King
+	Braid Floer homology	2009	Jan Bouwe van den Berg Robert Ghrist Robert Vandervorst W. Wójcik
+	Braid Floer homology	2009	Jan Bouwe van den Berg Robert Ghrist Robert Vandervorst W. Wójcik
+ PDF Chat	Closed characteristics on non-compact hypersurfaces in $${\mathbb {R}^{2n}}$$	2008	Jan Bouwe van den Berg Federica Pasquotto Robert Vandervorst
+ PDF Chat	Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift–Hohenberg Equation	2008	Jan Bouwe van den Berg Jean‐Philippe Lessard
+	Chaos in orientation reversing twist maps of the plane	2007	Jan Bouwe van den Berg Robert Vandervorst W. Wójcik
+ PDF Chat	Contact and non-contact type Hamiltonian systems generated by second-order Lagrangians	2006	Sigurd Angenent Jan Bouwe van den Berg Robert Vandervorst
+	Flame Balls for a Free Boundary Combustion Model with Radiative Transfer	2006	Jan Bouwe van den Berg Vincent Guyonne Josephus Hulshof
+	The Speed Law for Highly Radiative Flames in a Gaseous Mixture with Large Activation Energy	2005	Jan Bouwe van den Berg Claude-Michel Brauner Josephus Hulshof Alessandra Lunardi
+	Multiplicity and stability of travelling wave solutions in a free boundary combustion-radiation problem	2004	Olivier Baconneau Jan Bouwe van den Berg Claude-Michel Brauner JOSEPHUU HULSHOF
+	Parametric dependence of exponents and eigenvalues in focusing porous media flows	2003	DON G. ARONSON Jan Bouwe van den Berg Josephus Hulshof
+ PDF Chat	Morse theory on spaces of braids and Lagrangian dynamics	2003	Jan Bouwe van den Berg Robert Vandervorst Robert Ghrist
+ PDF Chat	Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow	2003	Jan Bouwe van den Berg John R. King Josephus Hulshof
+	Stable patterns for fourth-order parabolic equations	2002	Robert Vandervorst Jan Bouwe van den Berg
+	Second order Lagrangian Twist systems: simple closed characteristics	2001	Jan Bouwe van den Berg Robert Vandervorst
+	Global Branches of Multi-Bump Periodic Solutions of the Swift-Hohenberg Equation	2001	Jan Bouwe van den Berg L. A. Peletier William C. Troy
+ PDF Chat	Travelling Waves for Fourth Order Parabolic Equations	2001	Jan Bouwe van den Berg Josephus Hulshof Robertus C.A.M. Vandervorst
+	Morse theory on spaces of braids and Lagrangian dynamics	2001	Robert Ghrist Jan Bouwe van den Berg Robert Vandervorst
+	Homotopy Classes for Stable Periodic and Chaotic¶Patterns in Fourth-Order Hamiltonian Systems	2000	William D. Kalies Jarosław Kwapisz Jan Bouwe van den Berg Robert Vandervorst
+	The Phase-plane Picture for a Class of Fourth-order Conservative Differential Equations	2000	Jan Bouwe van den Berg
+	Uniqueness of solutions for the extended Fisher-Kolmogorov equation	1998	Jan Bouwe van den Berg
+	Von der Mathematischen Lehrart	1981	Bernard Bolzano Jan Bouwe van den Berg

Common Coauthors

Coauthor	Papers Together
Robert Vandervorst	18
Jean‐Philippe Lessard	17
Jim Williams	9
Maxime Breden	8
Ray Sheombarsing	6
Josephus Hulshof	6
Jonathan Jaquette	5
J. D. Mireles James	5
Robert Ghrist	5
Federica Pasquotto	4
Wouter Hetebrij	4
Bob Rink	4
W. Wójcik	4
Elena Queirolo	4
Bente Hilde Bakker	4
Lennaert van Veen	3
Thomas O. Rot	3
Maxime Murray	3
Claude-Michel Brauner	2
Marcio Gameiro	2
Rob Vandervorst	2
Olivier Hénot	2
Rob Van der Vorst	2
Miroslav Kramár	2
J. LESSARD	2
Elena I. Queirolo	2
John R. King	2
C.M. Groothedde	2
E. Blank	1
M. Kutter	1
Konstantin Mischaikow	1
Olivier Baconneau	1
K.J. Poppe	1
William C. Troy	1
Gabriel William Duchesne	1
Alessandra Lunardi	1
Sigurd Angenent	1
Maciej J. Capiński	1
DON G. ARONSON	1
William D. Kalies	1
Simone Munaò	1
Daniel Wilczak	1
Piet Hemker	1
Xi Yuan Yin	1
L. A. Peletier	1
János Dudás	1
Lindsey van der Aalst	1
Anett Vörös-Kiss	1
Robertus C.A.M. Vandervorst	1
Jarosław Kwapisz	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Validated Continuation for Equilibria of PDEs	2007	Sarah Day Jean‐Philippe Lessard Konstantin Mischaikow	19
+ PDF Chat	Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach	2015	Allan Hungria Jean‐Philippe Lessard J. D. Mireles James	13
+	A Numerical Verification Method for Solutions of Boundary Value Problems with Local Uniqueness by Banach's Fixed-Point Theorem	1998	Nobito Yamamoto	12
+	Homotopy Classes for Stable Connections between Hamiltonian Saddle-Focus Equilibria	1998	William D. Kalies Jarosław Kwapisz Robert Vandervorst	11
+	Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system	1996	B. Buffoni Alan R. Champneys John Toland	11
+ PDF Chat	Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift–Hohenberg Equation	2008	Jan Bouwe van den Berg Jean‐Philippe Lessard	10
+	Homotopy Classes for Stable Periodic and Chaotic¶Patterns in Fourth-Order Hamiltonian Systems	2000	William D. Kalies Jarosław Kwapisz Jan Bouwe van den Berg Robert Vandervorst	9
+ PDF Chat	Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray–Scott Equation	2011	Jan Bouwe van den Berg J. D. Mireles James Jean‐Philippe Lessard Konstantin Mischaikow	9
+ PDF Chat	Morse theory on spaces of braids and Lagrangian dynamics	2003	Jan Bouwe van den Berg Robert Vandervorst Robert Ghrist	9
+	Multitransition Homoclinic and Heteroclinic Solutions of the Extended Fisher–Kolmogorov Equation	1996	William D. Kalies Robert Vandervorst	9
+	Computer-Assisted Methods for the Study of Stationary Solutions in Dissipative Systems, Applied to the Kuramoto–Sivashinski Equation	2010	Gianni Arioli Hans Koch	9
+ PDF Chat	Global Bifurcation Diagrams of Steady States of Systems of PDEs via Rigorous Numerics: a 3-Component Reaction-Diffusion System	2013	Maxime Breden Jean‐Philippe Lessard Matthieu Vanicat	9
+	The Phase-plane Picture for a Class of Fourth-order Conservative Differential Equations	2000	Jan Bouwe van den Berg	8
+	The parameterization method for invariant manifolds III: overview and applications	2005	Xavier Cabré Ernest Fontich Rafael de la Llave	8
+ PDF Chat	A Rigorous ODE Solver and Smale’s 14th Problem	2002	Warwick Tucker	8
+	NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS	2001	Mitsuhiro Nakao	8
+	Second order Lagrangian Twist systems: simple closed characteristics	2001	Jan Bouwe van den Berg Robert Vandervorst	7
+ PDF Chat	Computer-assisted proofs in PDE: a survey	2019	Javier Gómez-Serrano	7
+ PDF Chat	Computer Assisted Proof of Transverse Saddle-to-Saddle Connecting Orbits for First Order Vector Fields	2014	Jean‐Philippe Lessard J. D. Mireles James Christian Reinhardt	7
+	Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation	2009	Jean‐Philippe Lessard	7
+ PDF Chat	Automatic differentiation for Fourier series and the radii polynomial approach	2016	Jean‐Philippe Lessard J. D. Mireles James Julian Ransford	7
+	A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam	2005	B. Breuer Jiří Horák Patrick McKenna Michael Plum	7
+ PDF Chat	Symplectic invariants and Hamiltonian dynamics	1995	Helmut Hofer Eduard Zehnder	7
+	Isolated Invariant Sets and the Morse Index	1978	Charles C. Conley	7
+ PDF Chat	Rigorous Numerics for Nonlinear Differential Equations Using Chebyshev Series	2014	Jean‐Philippe Lessard Christian Reinhardt	7
+ PDF Chat	Rigorous Numerics for Partial Differential Equations: The Kuramoto—Sivashinsky Equation	2001	Piotr Zgliczyński Konstantin Mischaikow	6
+	Rigorously Computing Symmetric Stationary States of the Ohta--Kawasaki Problem in Three Dimensions	2019	Jan Bouwe van den Berg Jim Williams	6
+ PDF Chat	Heteroclinic Connections Between Periodic Orbits in Planar Restricted Circular Three-Body Problem - A Computer Assisted Proof	2003	Daniel Wilczak Piotr Zgliczyński	6
+	Global Branches of Multi-Bump Periodic Solutions of the Swift-Hohenberg Equation	2001	Jan Bouwe van den Berg L. A. Peletier William C. Troy	6
+ PDF Chat	The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces	2003	Xavier Cabré Ernest Fontich Rafael de la Llave	6
+	Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions	1997	L. A. Peletier William C. Troy	6
+	A proof of Wright's conjecture	2018	Jan Bouwe van den Berg Jonathan Jaquette	5
+ PDF Chat	Bistable Systems with Propagating Fronts Leading to Pattern Formation	1988	Gregory T. Dee Wim van Saarloos	5
+ PDF Chat	Computation of maximal local (un)stable manifold patches by the parameterization method	2015	Maxime Breden Jean‐Philippe Lessard J. D. Mireles James	5
+ PDF Chat	Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation	2017	Roberto Castelli Marcio Gameiro J. Lessard	5
+ PDF Chat	Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto--Sivashinsky Equation	2017	Jordi-Lluís Figueras Rafael de la Llave	5
+	Travelling wave solutions of a fourth-order semilinear diffusion equation	1998	Meike Akveld J. Hulshof	5
+ PDF Chat	Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof	2005	Daniel Wilczak	5
+	Algebraic topology	2001	Allen Hatcher	5
+ PDF Chat	Travelling Waves for Fourth Order Parabolic Equations	2001	Jan Bouwe van den Berg Josephus Hulshof Robertus C.A.M. Vandervorst	5
+	Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs	2010	Marcio Gameiro Jean‐Philippe Lessard	5
+	A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto--Sivashinsky PDE	2017	Marcio Gameiro Jean‐Philippe Lessard	5
+	Parameterization method for unstable manifolds of delay differential equations	2017	C. M. Groothedde J. D. Mireles James	5
+ PDF Chat	Rigorous Numerics for Global Dynamics: A Study of the Swift--Hohenberg Equation	2005	Sarah Day Yasuaki Hiraoka Konstantin Mischaikow Toshiyuki OGAWA	5
+	Covering relations, cone conditions and the stable manifold theorem	2009	Piotr Zgliczyński	5
+	Uniqueness of the Stationary Wave for the Extended Fisher–Kolmogorov Equation	2000	Jarosław Kwapisz	5
+ PDF Chat	Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: kinks	1995	L. A. Peletier William C. Troy	5
+ PDF Chat	Stationary Coexistence of Hexagons and Rolls via Rigorous Computations	2015	Jan Bouwe van den Berg Andréa Deschênes Jean‐Philippe Lessard J. D. Mireles James	5
+	A geometric method for infinite-dimensional chaos: Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line	2020	Daniel Wilczak Piotr Zgliczyński	5
+	AUTO-07p: Continuation and bifurcation software for ordinary differential equations	2007	Eusebius J. Doedel Alan R. Champneys Fabio Dercole Thomas F. Fairgrieve Yuri A. Kuznetsov Bart E. Oldeman Randy Paffenroth Björn Sandstede X. J. Wang C. H. Zhang	5