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Author ID: fiedler.bernold Recent zbMATH articles by "Fiedler, Bernold"
Published as: Fiedler, Bernold; Fiedler, B.
Homepage: http://dynamics.mi.fu-berlin.de/persons/fiedler.php
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

Co-Authors

17 single-authored
20 Rocha, Carlos
9 Liebscher, Stefan
6 Brunovský, Pavol
4 Mochizuki, Atsushi
4 Sandstede, Björn
4 Schuppert, Andreas A.
4 Vishik, Marko Iosifovich
3 Afendikov, Andrei Leonidovich
3 Alexander, James Crew
3 Efendiev, Messoud
3 Flunkert, Valentin
3 Georgi, Marc
3 Hövel, Philipp
3 Scheel, Arnd
3 Schöll, Eckehard
3 Wolfrum, Matthias
2 Belhaq, Mohamed
2 Beyn, Wolf-Jürgen
2 Brehm, Bernhard
2 Gedeon, Tomáš
2 Gröger, Konrad
2 Guo, Jong-Shenq
2 Heinze, Steffen
2 Hell, Juliette
2 Hsu, Szebi
2 Kunkel, Peter
2 Kurosawa, Gen
2 Mallet-Paret, John Joseph
2 Poláčik, Peter
2 Rand, Richard H.
2 Sah, Si Mohamed
2 Saito, Daisuke
2 Schneider, Isabelle
2 Sprekels, Jürgen
2 Stuke, Hannes
2 Tsai, Je-Chiang
2 Turaev, Dmitry V.
1 Angenent, Sigurd Bernardus
1 Behrends, Ehrhard
1 Ben-Gal, Nitsan
1 Buchner, Johannes
1 Castañeda, Pablo
1 Dangelmayr, Gerhard
1 de Wolff, Babette A. J.
1 Deng, Bo
1 Deuflhard, Peter
1 Fila, Marek
1 Grotta Ragazzo, Clodoaldo
1 Haugland, Sindre W.
1 Houssni, Mohamed
1 Jangle, Nihar
1 Karnauhova, Anna
1 Kemeth, Felix P.
1 Kirchgässner, Klaus
1 Krischer, Katharina
1 Kurths, Jürgen
1 Lakrad, Faouzi
1 Lappicy, Phillipo
1 Lin, Hsiu-Hau
1 Mantel, Rolf-Martin
1 Matano, Hiroshi
1 Mielke, Alexander
1 Mischaikow, Konstantin
1 Muniz Oliva, Sergio Muniz
1 Nieto, Alejandro López
1 Rademacher, Jens Diederich Michael
1 Rendall, Alan D.
1 Salazar, Domingo
1 Scheurle, Jürgen
1 Schimansky-Geier, Lutz
1 Shayak, B.
1 Solà-Morales, Joan
1 Vanderbauwhede, Andre L.
1 Väth, Martin
1 Wulff, Claudia
all top 5

Serials

12 Journal of Differential Equations
10 Journal of Dynamics and Differential Equations
4 Archive for Rational Mechanics and Analysis
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Journal für die Reine und Angewandte Mathematik
3 Asymptotic Analysis
3 SIAM Journal on Mathematical Analysis
3 Documenta Mathematica
3 São Paulo Journal of Mathematical Sciences
2 Mathematical Methods in the Applied Sciences
2 Russian Mathematical Surveys
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Transactions of the American Mathematical Society
2 Ergodic Theory and Dynamical Systems
2 Discrete and Continuous Dynamical Systems
2 Oberwolfach Reports
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Theoretical Biology
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Biology
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Computational and Applied Mathematics
1 Memoirs of the American Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Tatra Mountains Mathematical Publications
1 Advances in Differential Equations
1 Doklady Mathematics
1 Nonlinear Dynamics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete and Continuous Dynamical Systems. Series B
1 SIAM Journal on Applied Dynamical Systems
1 Lecture Notes in Mathematics
1 Pitman Research Notes in Mathematics Series
1 World Scientific Lecture Notes in Complex Systems
1 Networks and Heterogeneous Media
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 1,192 times in 674 Documents Cited by Year
Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050
Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold
72
1990
Heteroclinic orbits of semilinear parabolic equations. Zbl 0849.35056
Fiedler, Bernold; Rocha, Carlos
61
1996
Homoclinic period blow-up in reversible and conservative systems. Zbl 0762.34023
Vanderbauwhede, André; Fiedler, Bernold
55
1992
Connecting orbits in scalar reaction diffusion equations. II: The complete solution. Zbl 0699.35144
Brunovský, P.; Fiedler, B.
54
1989
A Poincaré-Bendixson theorem for scalar reaction diffusion equations. Zbl 0704.35070
Fiedler, Bernold; Mallet-Paret, John
48
1989
Global bifurcation of periodic solutions with symmetry. Zbl 0644.34038
Fiedler, Bernold
46
1988
Connecting orbits in scalar reaction diffusion equations. Zbl 0679.35047
Brunovský, P.; Fiedler, B.
45
1988
Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004
Fiedler, Bernold; Scheel, Arnd
43
2003
The dynamics of rotating waves in scalar reaction diffusion equations. Zbl 0696.35086
Angenent, S. B.; Fiedler, B.
42
1988
Orbit equivalence of global attractors of semilinear parabolic differential equations. Zbl 0932.37065
Fiedler, Bernold; Rocha, Carlos
37
2000
Complicated dynamics of scalar reaction diffusion equations with a nonlocal term. Zbl 0726.35060
Fiedler, Bernold; Poláčik, Peter
34
1990
Numbers of zeros on invariant manifolds in reaction-diffusion equations. Zbl 0594.35056
Brunovský, Pavol; Fiedler, Bernold
33
1986
Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014
Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
29
1996
Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method. Zbl 0967.70019
Belhaq, Mohamed; Fiedler, Bernold; Lakrad, Faouzi
28
2000
Discretization of homoclinic orbits, rapid forcing and “invisible” chaos. Zbl 0923.34049
Fiedler, Bernold; Scheurle, Jürgen
26
1996
Realization of meander permutations by boundary value problems. Zbl 0935.34018
Fiedler, Bernold; Rocha, Carlos
23
1999
Dynamics of periodically forced parabolic equations on the circle. Zbl 0754.35066
Sandstede, Björn; Fiedler, Bernold
19
1992
Delay stabilization of periodic orbits in coupled oscillator systems. Zbl 1201.34103
Fiedler, B.; Flunkert, V.; Hövel, P.; Schöll, E.
18
2010
Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle. Zbl 1064.35076
Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias
18
2004
Connections between Morse sets for delay-differential equations. Zbl 0659.34077
Fiedler, Bernold; Maller-Paret, John
17
1989
Dynamics and control at feedback vertex sets. II: A faithful monitor to determine the diversity of molecular activities in regulatory networks. Zbl 1397.92256
Mochizuki, Atsushi; Fiedler, Bernold; Kurosawa, Gen; Saito, Daisuke
17
2013
Generic Hopf bifurcation from lines of equilibria without parameters. I: Theory. Zbl 0978.34035
Fiedler, Bernold; Liebscher, Stefan; Alexander, J. C.
15
2000
Dynamics and control at feedback vertex sets. I: Informative and determining nodes in regulatory networks. Zbl 1337.92074
Fiedler, Bernold; Mochizuki, Atsushi; Kurosawa, Gen; Saito, Daisuke
15
2013
Generic Hopf bifurcation from lines of equilibria without parameters. III. Binary oscillations. Zbl 1090.37556
Fiedler, Bernold; Liebscher, Stefan; Alexander, J. C.
14
2000
Dynamics of nonlinear waves in dissipative systems: reduction, bifurcation and stability. Zbl 0866.35002
Dangelmayr, Gerhard; Fiedler, Bernold; Kirchgässner, Klaus; Mielke, Alexander
14
1996
Global attractors of one-dimensional parabolic equations: Sixteen examples. Zbl 0814.35056
Fiedler, Bernold
14
1994
Basins of attraction in strongly damped coupled mechanical oscillators: A global example. Zbl 0919.70012
Fiedler, Bernold; Belhaq, Mohamed; Houssni, Mohamed
13
1999
Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms. Zbl 1135.35315
Fiedler, Bernold; Vishik, Mark I.
13
2003
Connectivity and design of planar global attractors of Sturm type. II: Connection graphs. Zbl 1179.35069
Fiedler, Bernold; Rocha, Carlos
12
2008
An index for global Hopf bifurcation in parabolic systems. Zbl 0554.35010
Fiedler, Bernold
12
1985
Connectivity and design of planar global attractors of Sturm type. I: Bipolar orientations and Hamiltonian paths. Zbl 1201.37102
Fiedler, Bernold; Rocha, Carlos
12
2009
Connectivity and design of planar global attractors of Sturm type. III: Small and platonic examples. Zbl 1204.35106
Fiedler, Bernold; Rocha, Carlos
12
2010
Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011
Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I.
11
1998
Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies. Zbl 1036.35022
Fiedler, Bernold; Vishik, Mark I.
11
2001
Generic Hopf bifurcation from lines of equilibria without parameters: II. Systems of viscous hyperbolic balance laws. Zbl 0980.35098
Fiedler, Bernold; Liebscher, Stefan
10
2000
Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients. Zbl 1055.35025
Fiedler, B.; Vishik, M. I.
10
2002
Global Hopf bifurcation of two-parameter flows. Zbl 0603.58015
Fiedler, Bernold
10
1986
Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach. Zbl 0756.49003
Fiedler, Bernold; Mischaikow, Konstantin
10
1992
Do global attractors depend on boundary conditions? Zbl 0855.58053
Fiedler, Bernold
9
1996
Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions. Zbl 0957.37026
Fiedler, Bernold; Turaev, Dmitry
9
1998
Handbook of dynamical systems. Volume 2. Zbl 0982.37002
9
2002
Beyond the odd-number limitation of time-delayed feedback control. 2nd completely revised and enlarged ed. Zbl 1183.93062
Fiedler, Bernold; Flunkert, Valentin; Goergi, Marc; Hövel, Philipp
9
2008
Multiplicity of rotating spirals under curvature flows with normal tip motion. Zbl 1063.34001
Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang
9
2004
A class of convergent neural network dynamics. Zbl 0944.34039
Fiedler, Bernold; Gedeon, Tomáš
8
1998
Coalescence of reversible homoclinic orbits causes elliptic resonance. Zbl 0876.34057
Fiedler, Bernold; Turaev, Dimitry
8
1996
An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle. Zbl 1307.35058
Fiedler, B.; Grotta-Ragazzo, C.; Rocha, C.
8
2014
Schoenflies spheres as boundaries of bounded unstable manifolds in gradient Sturm systems. Zbl 1375.35259
Fiedler, Bernold; Rocha, Carlos
8
2015
Sturm 3-ball global attractors 3: examples of Thom-Smale complexes. Zbl 1396.37036
Fiedler, Bernold; Rocha, Carlos
8
2018
Sensitivity of chemical reaction networks: A structural approach. 3. regular multimolecular systems. Zbl 1388.82017
Brehm, Bernhard; Fiedler, Bernold
7
2018
Rotating spirals of curvature flows: a center manifold approach. Zbl 1223.37110
Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang
7
2006
Nonlinear Sturm global attractors: unstable manifold decompositions as regular CW-complexes. Zbl 1327.35194
Fiedler, Bernold; Rocha, Carlos
7
2014
A permutation characterization of Sturm global attractors of Hamiltonian type. Zbl 1233.35042
Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias
6
2012
A Lyapunov function for tridiagonal competitive-cooperative systems. Zbl 0922.34041
Fiedler, Bernold; Gedeon, Tomás
6
1999
Delayed feedback control of a delay equation at Hopf bifurcation. Zbl 1358.34079
Fiedler, Bernold; Muniz Oliva, Sergio Muniz
6
2016
A Lyapunov function for fully nonlinear parabolic equations in one spatial variable. Zbl 1415.35155
Lappicy, Phillipo; Fiedler, Bernold
6
2019
Simplicity of zeros in scalar parabolic equations. Zbl 0549.35062
Brunovský, P.; Fiedler, B.
5
1986
Discrete Lyapunov functionals and \(\omega\)-limit sets. Zbl 0688.58041
Fiedler, Bernold
5
1989
Sensitivity of chemical reaction networks: a structural approach. 2. Regular monomolecular systems. Zbl 1333.94079
Fiedler, Bernold; Mochizuki, Atsushi
5
2015
Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators. Zbl 1443.34070
Fiedler, Bernold; Nieto, Alejandro López; Rand, Richard H.; Sah, Si Mohamed; Schneider, Isabelle; de Wolff, Babette
5
2020
Sturm global attractors for \(S^1\)-equivariant parabolic equations. Zbl 1262.35053
Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias
5
2012
Sturm 3-ball global attractors. 1: Thom-Smale complexes and meanders. Zbl 1408.37027
Fiedler, Bernold; Rocha, Carlos
5
2018
Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. Zbl 1231.92061
Fiedler, Bernold; Hsu, Sze-Bi
4
2009
Global pathfollowing of homoclinic orbits in twoparameter flows. Zbl 0866.35004
Fiedler, B.
4
1996
Delay stabilization of rotating waves without odd number limitation. Zbl 1160.37429
Fiedler, Bernold; Flunkert, Valentin; Georgi, Marc; Hövel, Philipp; Schöll, Eckehard
4
2008
Sensitivity of chemical reaction networks: a structural approach. 1. Examples and the carbon metabolic network. Zbl 1412.92098
Mochizuki, Atsushi; Fiedler, Bernold
4
2015
Global Hopf bifurcation in porous catalysts. Zbl 0528.35007
Fiedler, Bernold
3
1983
Periods of discretized linear Anosov maps. Zbl 0915.58075
Behrends, Ehrhard; Fiedler, Bernold
3
1998
Roots and centralizers of Anosov diffeomorphisms on tori. Zbl 1097.37015
Fiedler, Bernold
3
2005
Sturm 3-ball global attractors 2: design of Thom-Smale complexes. Zbl 1423.35040
Fiedler, Bernold; Rocha, Carlos
3
2019
Analysis and control of complex nonlinear processes in physics, chemistry and biology. Zbl 1110.82004
2
2007
Homotopy invariants of time reversible periodic orbits. I: Theory. Zbl 0852.34038
Fiedler, Bernold; Heinze, Steffen
2
1996
Global Hopf bifurcation for Volterra integral equations. Zbl 0605.45002
Fiedler, Bernold
2
1986
Connections in scalar reaction diffusion equations with Neumann boundary condition. Zbl 0616.35044
Fiedler, B.; Brunovský, P.
2
1986
Anisotropic Einstein data with isotropic non negative prescribed scalar curvature. Zbl 1332.35358
Fiedler, Bernold; Hell, Juliette; Smith, Brian
2
2015
Rainbow meanders and Cartesian billiards. Zbl 1333.37015
Fiedler, Bernold; Castañeda, Pablo
2
2012
Stabilized rapid oscillations in a delay equation: feedback control by a small resonant delay. Zbl 1450.34048
Fiedler, Bernold; Schneider, Isabelle
2
2020
Global Hopf bifurcation in networks with fast feedback cycles. Zbl 1454.34060
Fiedler, Bernold
2
2021
Heteroclinic connections of stationary solutions of scalar reaction- diffusion equations. Zbl 0661.35050
Brunovský, P.; Fiedler, B.
1
1987
Global decoupling of coupled symmetric oscillators. Zbl 0678.34038
Alexander, J. C.; Fiedler, B.
1
1989
Spiral wave dynamics: reaction and diffusion versus kinematics. Zbl 1126.80007
Fiedler, Bernold; Georgi, Marc; Jangle, Nihar
1
2007
Plane Kolmogorov flows and Takens-Bogdanov bifurcation without parameters: the singly reversible case. Zbl 1233.37054
Afendikov, Andrei; Fiedler, Bernold; Liebscher, Stefan
1
2011
Homotopy invariants of time reversible periodic orbits. II: Towards applications. Zbl 0852.34039
Fiedler, Bernold; Heinze, Steffen
1
1996
Takens-Bogdanov bifurcations without parameters and oscillatory shock profiles. Zbl 1198.37082
Fiedler, Bernold; Liebscher, Stefan
1
2001
Plane Kolmogorov flows and Takens-Bogdanov bifurcation without parameters: the doubly reversible case. Zbl 1173.35093
Afendikov, Andrei; Fiedler, Bernold; Liebscher, Stefan
1
2008
Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094
Deuflhard, P.; Fiedler, B.; Kunkel, P.
1
1987
Thermically stable upscaling of an exothermic model reaction. (Thermisch stabiles Upscaling einer exothermen Modellreaktion.) Zbl 0867.76091
Fiedler, B.; Efendiev, M.; Schuppert, A.
1
1997
Upscaling of some exothermic reactions from chemical industry. Zbl 0887.92033
Efendiev, M. A.; Fiedler, B.; Schuppert, A.
1
1996
Global dynamics of blow-up profiles in one-dimensional reaction diffusion equations. Zbl 1132.35048
Fiedler, Bernold; Matano, Hiroshi
1
2007
Local identification of scalar hybrid models with tree structure. Zbl 1211.93040
Fiedler, Bernold; Schuppert, Andreas
1
2008
Bifurcations without parameters: Some ODE and PDE examples. Zbl 1037.34033
Fiedler, Bernold; Liebscher, Stefan
1
2002
Dynamics of piecewise-autonomous bistable parabolic equations. Zbl 1004.35069
Fiedler, Bernold; Rocha, Carlos; Salazar, Domingo; Solà-Morales, Joan
1
2002
Boundary orders and geometry of the signed Thom-Smale complex for Sturm global attractors. Zbl 1503.35040
Fiedler, Bernold; Rocha, Carlos
1
2022
Boundary orders and geometry of the signed Thom-Smale complex for Sturm global attractors. Zbl 1503.35040
Fiedler, Bernold; Rocha, Carlos
1
2022
Global Hopf bifurcation in networks with fast feedback cycles. Zbl 1454.34060
Fiedler, Bernold
2
2021
Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators. Zbl 1443.34070
Fiedler, Bernold; Nieto, Alejandro López; Rand, Richard H.; Sah, Si Mohamed; Schneider, Isabelle; de Wolff, Babette
5
2020
Stabilized rapid oscillations in a delay equation: feedback control by a small resonant delay. Zbl 1450.34048
Fiedler, Bernold; Schneider, Isabelle
2
2020
A Lyapunov function for fully nonlinear parabolic equations in one spatial variable. Zbl 1415.35155
Lappicy, Phillipo; Fiedler, Bernold
6
2019
Sturm 3-ball global attractors 2: design of Thom-Smale complexes. Zbl 1423.35040
Fiedler, Bernold; Rocha, Carlos
3
2019
Sturm 3-ball global attractors 3: examples of Thom-Smale complexes. Zbl 1396.37036
Fiedler, Bernold; Rocha, Carlos
8
2018
Sensitivity of chemical reaction networks: A structural approach. 3. regular multimolecular systems. Zbl 1388.82017
Brehm, Bernhard; Fiedler, Bernold
7
2018
Sturm 3-ball global attractors. 1: Thom-Smale complexes and meanders. Zbl 1408.37027
Fiedler, Bernold; Rocha, Carlos
5
2018
Delayed feedback control of a delay equation at Hopf bifurcation. Zbl 1358.34079
Fiedler, Bernold; Muniz Oliva, Sergio Muniz
6
2016
Schoenflies spheres as boundaries of bounded unstable manifolds in gradient Sturm systems. Zbl 1375.35259
Fiedler, Bernold; Rocha, Carlos
8
2015
Sensitivity of chemical reaction networks: a structural approach. 2. Regular monomolecular systems. Zbl 1333.94079
Fiedler, Bernold; Mochizuki, Atsushi
5
2015
Sensitivity of chemical reaction networks: a structural approach. 1. Examples and the carbon metabolic network. Zbl 1412.92098
Mochizuki, Atsushi; Fiedler, Bernold
4
2015
Anisotropic Einstein data with isotropic non negative prescribed scalar curvature. Zbl 1332.35358
Fiedler, Bernold; Hell, Juliette; Smith, Brian
2
2015
An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle. Zbl 1307.35058
Fiedler, B.; Grotta-Ragazzo, C.; Rocha, C.
8
2014
Nonlinear Sturm global attractors: unstable manifold decompositions as regular CW-complexes. Zbl 1327.35194
Fiedler, Bernold; Rocha, Carlos
7
2014
Dynamics and control at feedback vertex sets. II: A faithful monitor to determine the diversity of molecular activities in regulatory networks. Zbl 1397.92256
Mochizuki, Atsushi; Fiedler, Bernold; Kurosawa, Gen; Saito, Daisuke
17
2013
Dynamics and control at feedback vertex sets. I: Informative and determining nodes in regulatory networks. Zbl 1337.92074
Fiedler, Bernold; Mochizuki, Atsushi; Kurosawa, Gen; Saito, Daisuke
15
2013
A permutation characterization of Sturm global attractors of Hamiltonian type. Zbl 1233.35042
Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias
6
2012
Sturm global attractors for \(S^1\)-equivariant parabolic equations. Zbl 1262.35053
Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias
5
2012
Rainbow meanders and Cartesian billiards. Zbl 1333.37015
Fiedler, Bernold; Castañeda, Pablo
2
2012
Plane Kolmogorov flows and Takens-Bogdanov bifurcation without parameters: the singly reversible case. Zbl 1233.37054
Afendikov, Andrei; Fiedler, Bernold; Liebscher, Stefan
1
2011
Delay stabilization of periodic orbits in coupled oscillator systems. Zbl 1201.34103
Fiedler, B.; Flunkert, V.; Hövel, P.; Schöll, E.
18
2010
Connectivity and design of planar global attractors of Sturm type. III: Small and platonic examples. Zbl 1204.35106
Fiedler, Bernold; Rocha, Carlos
12
2010
Connectivity and design of planar global attractors of Sturm type. I: Bipolar orientations and Hamiltonian paths. Zbl 1201.37102
Fiedler, Bernold; Rocha, Carlos
12
2009
Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. Zbl 1231.92061
Fiedler, Bernold; Hsu, Sze-Bi
4
2009
Connectivity and design of planar global attractors of Sturm type. II: Connection graphs. Zbl 1179.35069
Fiedler, Bernold; Rocha, Carlos
12
2008
Beyond the odd-number limitation of time-delayed feedback control. 2nd completely revised and enlarged ed. Zbl 1183.93062
Fiedler, Bernold; Flunkert, Valentin; Goergi, Marc; Hövel, Philipp
9
2008
Delay stabilization of rotating waves without odd number limitation. Zbl 1160.37429
Fiedler, Bernold; Flunkert, Valentin; Georgi, Marc; Hövel, Philipp; Schöll, Eckehard
4
2008
Plane Kolmogorov flows and Takens-Bogdanov bifurcation without parameters: the doubly reversible case. Zbl 1173.35093
Afendikov, Andrei; Fiedler, Bernold; Liebscher, Stefan
1
2008
Local identification of scalar hybrid models with tree structure. Zbl 1211.93040
Fiedler, Bernold; Schuppert, Andreas
1
2008
Analysis and control of complex nonlinear processes in physics, chemistry and biology. Zbl 1110.82004
2
2007
Spiral wave dynamics: reaction and diffusion versus kinematics. Zbl 1126.80007
Fiedler, Bernold; Georgi, Marc; Jangle, Nihar
1
2007
Global dynamics of blow-up profiles in one-dimensional reaction diffusion equations. Zbl 1132.35048
Fiedler, Bernold; Matano, Hiroshi
1
2007
Rotating spirals of curvature flows: a center manifold approach. Zbl 1223.37110
Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang
7
2006
Roots and centralizers of Anosov diffeomorphisms on tori. Zbl 1097.37015
Fiedler, Bernold
3
2005
Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle. Zbl 1064.35076
Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias
18
2004
Multiplicity of rotating spirals under curvature flows with normal tip motion. Zbl 1063.34001
Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang
9
2004
Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004
Fiedler, Bernold; Scheel, Arnd
43
2003
Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms. Zbl 1135.35315
Fiedler, Bernold; Vishik, Mark I.
13
2003
Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients. Zbl 1055.35025
Fiedler, B.; Vishik, M. I.
10
2002
Handbook of dynamical systems. Volume 2. Zbl 0982.37002
9
2002
Bifurcations without parameters: Some ODE and PDE examples. Zbl 1037.34033
Fiedler, Bernold; Liebscher, Stefan
1
2002
Dynamics of piecewise-autonomous bistable parabolic equations. Zbl 1004.35069
Fiedler, Bernold; Rocha, Carlos; Salazar, Domingo; Solà-Morales, Joan
1
2002
Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies. Zbl 1036.35022
Fiedler, Bernold; Vishik, Mark I.
11
2001
Takens-Bogdanov bifurcations without parameters and oscillatory shock profiles. Zbl 1198.37082
Fiedler, Bernold; Liebscher, Stefan
1
2001
Orbit equivalence of global attractors of semilinear parabolic differential equations. Zbl 0932.37065
Fiedler, Bernold; Rocha, Carlos
37
2000
Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method. Zbl 0967.70019
Belhaq, Mohamed; Fiedler, Bernold; Lakrad, Faouzi
28
2000
Generic Hopf bifurcation from lines of equilibria without parameters. I: Theory. Zbl 0978.34035
Fiedler, Bernold; Liebscher, Stefan; Alexander, J. C.
15
2000
Generic Hopf bifurcation from lines of equilibria without parameters. III. Binary oscillations. Zbl 1090.37556
Fiedler, Bernold; Liebscher, Stefan; Alexander, J. C.
14
2000
Generic Hopf bifurcation from lines of equilibria without parameters: II. Systems of viscous hyperbolic balance laws. Zbl 0980.35098
Fiedler, Bernold; Liebscher, Stefan
10
2000
Realization of meander permutations by boundary value problems. Zbl 0935.34018
Fiedler, Bernold; Rocha, Carlos
23
1999
Basins of attraction in strongly damped coupled mechanical oscillators: A global example. Zbl 0919.70012
Fiedler, Bernold; Belhaq, Mohamed; Houssni, Mohamed
13
1999
A Lyapunov function for tridiagonal competitive-cooperative systems. Zbl 0922.34041
Fiedler, Bernold; Gedeon, Tomás
6
1999
Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011
Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I.
11
1998
Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions. Zbl 0957.37026
Fiedler, Bernold; Turaev, Dmitry
9
1998
A class of convergent neural network dynamics. Zbl 0944.34039
Fiedler, Bernold; Gedeon, Tomáš
8
1998
Periods of discretized linear Anosov maps. Zbl 0915.58075
Behrends, Ehrhard; Fiedler, Bernold
3
1998
Thermically stable upscaling of an exothermic model reaction. (Thermisch stabiles Upscaling einer exothermen Modellreaktion.) Zbl 0867.76091
Fiedler, B.; Efendiev, M.; Schuppert, A.
1
1997
Heteroclinic orbits of semilinear parabolic equations. Zbl 0849.35056
Fiedler, Bernold; Rocha, Carlos
61
1996
Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014
Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia
29
1996
Discretization of homoclinic orbits, rapid forcing and “invisible” chaos. Zbl 0923.34049
Fiedler, Bernold; Scheurle, Jürgen
26
1996
Dynamics of nonlinear waves in dissipative systems: reduction, bifurcation and stability. Zbl 0866.35002
Dangelmayr, Gerhard; Fiedler, Bernold; Kirchgässner, Klaus; Mielke, Alexander
14
1996
Do global attractors depend on boundary conditions? Zbl 0855.58053
Fiedler, Bernold
9
1996
Coalescence of reversible homoclinic orbits causes elliptic resonance. Zbl 0876.34057
Fiedler, Bernold; Turaev, Dimitry
8
1996
Global pathfollowing of homoclinic orbits in twoparameter flows. Zbl 0866.35004
Fiedler, B.
4
1996
Homotopy invariants of time reversible periodic orbits. I: Theory. Zbl 0852.34038
Fiedler, Bernold; Heinze, Steffen
2
1996
Homotopy invariants of time reversible periodic orbits. II: Towards applications. Zbl 0852.34039
Fiedler, Bernold; Heinze, Steffen
1
1996
Upscaling of some exothermic reactions from chemical industry. Zbl 0887.92033
Efendiev, M. A.; Fiedler, B.; Schuppert, A.
1
1996
Global attractors of one-dimensional parabolic equations: Sixteen examples. Zbl 0814.35056
Fiedler, Bernold
14
1994
Homoclinic period blow-up in reversible and conservative systems. Zbl 0762.34023
Vanderbauwhede, André; Fiedler, Bernold
55
1992
Dynamics of periodically forced parabolic equations on the circle. Zbl 0754.35066
Sandstede, Björn; Fiedler, Bernold
19
1992
Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach. Zbl 0756.49003
Fiedler, Bernold; Mischaikow, Konstantin
10
1992
Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050
Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold
72
1990
Complicated dynamics of scalar reaction diffusion equations with a nonlocal term. Zbl 0726.35060
Fiedler, Bernold; Poláčik, Peter
34
1990
Connecting orbits in scalar reaction diffusion equations. II: The complete solution. Zbl 0699.35144
Brunovský, P.; Fiedler, B.
54
1989
A Poincaré-Bendixson theorem for scalar reaction diffusion equations. Zbl 0704.35070
Fiedler, Bernold; Mallet-Paret, John
48
1989
Connections between Morse sets for delay-differential equations. Zbl 0659.34077
Fiedler, Bernold; Maller-Paret, John
17
1989
Discrete Lyapunov functionals and \(\omega\)-limit sets. Zbl 0688.58041
Fiedler, Bernold
5
1989
Global decoupling of coupled symmetric oscillators. Zbl 0678.34038
Alexander, J. C.; Fiedler, B.
1
1989
Global bifurcation of periodic solutions with symmetry. Zbl 0644.34038
Fiedler, Bernold
46
1988
Connecting orbits in scalar reaction diffusion equations. Zbl 0679.35047
Brunovský, P.; Fiedler, B.
45
1988
The dynamics of rotating waves in scalar reaction diffusion equations. Zbl 0696.35086
Angenent, S. B.; Fiedler, B.
42
1988
Heteroclinic connections of stationary solutions of scalar reaction- diffusion equations. Zbl 0661.35050
Brunovský, P.; Fiedler, B.
1
1987
Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094
Deuflhard, P.; Fiedler, B.; Kunkel, P.
1
1987
Numbers of zeros on invariant manifolds in reaction-diffusion equations. Zbl 0594.35056
Brunovský, Pavol; Fiedler, Bernold
33
1986
Global Hopf bifurcation of two-parameter flows. Zbl 0603.58015
Fiedler, Bernold
10
1986
Simplicity of zeros in scalar parabolic equations. Zbl 0549.35062
Brunovský, P.; Fiedler, B.
5
1986
Global Hopf bifurcation for Volterra integral equations. Zbl 0605.45002
Fiedler, Bernold
2
1986
Connections in scalar reaction diffusion equations with Neumann boundary condition. Zbl 0616.35044
Fiedler, B.; Brunovský, P.
2
1986
An index for global Hopf bifurcation in parabolic systems. Zbl 0554.35010
Fiedler, Bernold
12
1985
Global Hopf bifurcation in porous catalysts. Zbl 0528.35007
Fiedler, Bernold
3
1983
all top 5

Cited by 829 Authors

41 Fiedler, Bernold
25 Scheel, Arnd
22 Rocha, Carlos
19 Zhu, Deming
16 Poláčik, Peter
15 Sandstede, Björn
10 Chepyzhov, Vladimir V.
10 Krawcewicz, Wieslaw Z.
9 Knobloch, Jürgen
9 Lamb, Jeroen S. W.
9 Li, Wenxue
8 Balanov, Zalman I.
8 Melbourne, Ian
8 Mischaikow, Konstantin
8 Valero, José
8 Wang, Yi
8 Wu, Jianhong
7 Belhaq, Mohamed
7 Brunovský, Pavol
7 Chung, Kwok-Wai
7 Fečkan, Michal
7 Homburg, Ale Jan
7 Lappicy, Phillipo
7 Mielke, Alexander
7 Rademacher, Jens Diederich Michael
7 Wolfrum, Matthias
7 Wulff, Claudia
7 Zelik, Sergey V.
6 Ashwin, Peter
6 Jin, Yinlai
6 Matthies, Karsten
6 Postlethwaite, Claire M.
6 Qin, Bo-Wei
6 Rachinskii, Dmitrii I.
6 Rodríguez-Luis, Alejandro J.
6 Schneider, Isabelle
6 Shen, Wenxian
6 Vishik, Marko Iosifovich
5 Algaba, Antonio
5 Avery, Montie
5 Champneys, Alan R.
5 Chechkin, Gregory Aleksandrovich
5 de Wolff, Babette A. J.
5 Guo, Jong-Shenq
5 Hale, Jack Kenneth
5 Hooton, Edward W.
5 Kokubu, Hiroshi
5 Lerman, Lev
5 Lu, Qiuying
5 Mallet-Paret, John Joseph
5 Naudot, Vincent
5 Nolasco de Carvalho, Alexandre
5 Fernandes da Silva Pimentel, Juliana
5 Valdebenito, Darío A.
5 Vandervorst, Robertus C. A. M.
5 Wang, Ke
5 Zhang, Tiansi
5 Zhou, Dun
4 Battelli, Flaviano
4 Bekmaganbetov, Kuanysh Abdrakhmanovich
4 Deng, Bo
4 Fusco, Giorgio
4 Guo, Shangjiang
4 Joly, Romain
4 Lakrad, Faouzi
4 Schöll, Eckehard
4 Su, Huan
4 Tsai, Je-Chiang
4 van den Berg, Jan Bouwe
4 Wagenknecht, Thomas
4 Yagasaki, Kazuyuki
3 Angenent, Sigurd Bernardus
3 Beyn, Wolf-Jürgen
3 Blyuss, Konstantin B.
3 Chen, Guanrong
3 Chen, Shuhui
3 Chen, Xu-Yan
3 Chen, Yangyang
3 Czaja, Radosław
3 Dai, Jia-Yuan
3 de Rijk, Björn
3 Fahsi, Abdelhak
3 Freitas, Pedro
3 Gaeta, Giuseppe
3 Geng, Fengjie
3 Goh, Ryan N.
3 Härterich, Jörg M.
3 Herrero, Miguel Ángel
3 Hövel, Philipp
3 Huang, Lihong
3 Hupkes, Hermen Jan
3 Kalies, William D.
3 Kapustyan, Oleksiy V.
3 Kasyanov, Pavlo O.
3 Kobayashi, Koichi
3 Krauskopf, Bernd
3 Lauterbach, Reiner
3 Liebscher, Stefan
3 Liu, Yan
3 Matano, Hiroshi
...and 729 more Authors
all top 5

Cited in 164 Serials

78 Journal of Differential Equations
57 Journal of Dynamics and Differential Equations
40 Physica D
37 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
21 Transactions of the American Mathematical Society
17 Archive for Rational Mechanics and Analysis
14 SIAM Journal on Applied Dynamical Systems
13 Discrete and Continuous Dynamical Systems
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Nonlinearity
10 Chaos, Solitons and Fractals
10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
10 Chaos
9 Journal of Mathematical Biology
9 SIAM Journal on Mathematical Analysis
9 Nonlinear Dynamics
9 Communications in Nonlinear Science and Numerical Simulation
8 Journal of Nonlinear Science
7 Applied Mathematics and Computation
7 Dynamical Systems
7 Discrete and Continuous Dynamical Systems. Series B
7 Discrete and Continuous Dynamical Systems. Series S
7 Nonlinear Analysis. Theory, Methods & Applications
6 Journal of Mathematical Analysis and Applications
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Bulletin of Mathematical Biology
6 Communications on Pure and Applied Analysis
5 Applicable Analysis
5 Proceedings of the American Mathematical Society
5 Journal of Theoretical Biology
4 Rocky Mountain Journal of Mathematics
4 Automatica
4 Journal of Computational and Applied Mathematics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Dynamics and Stability of Systems
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Applied Mathematics
4 Regular and Chaotic Dynamics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Journal of Functional Analysis
3 Tôhoku Mathematical Journal. Second Series
3 Ergodic Theory and Dynamical Systems
3 Systems & Control Letters
3 Applied Mathematics and Mechanics. (English Edition)
3 Chinese Annals of Mathematics. Series B
3 European Journal of Applied Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Journal of Mathematical Sciences (New York)
3 Journal of Difference Equations and Applications
3 Acta Mathematica Sinica. English Series
3 Nonlinear Analysis. Real World Applications
3 Portugaliae Mathematica. Nova Série
3 The European Physical Journal B. Condensed Matter and Complex Systems
3 São Paulo Journal of Mathematical Sciences
3 Journal of Geometric Mechanics
2 Communications on Pure and Applied Mathematics
2 Mathematical Biosciences
2 Russian Mathematical Surveys
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 BIT
2 Indiana University Mathematics Journal
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Nachrichten
2 Results in Mathematics
2 Siberian Mathematical Journal
2 Mathematical and Computer Modelling
2 Science in China. Series A
2 Acta Mathematica Sinica. New Series
2 International Journal of Robust and Nonlinear Control
2 Experimental Mathematics
2 Topological Methods in Nonlinear Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Mathematical Problems in Engineering
2 Doklady Mathematics
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Qualitative Theory of Dynamical Systems
2 Advances in Difference Equations
2 Mathematical Biosciences and Engineering
2 Science China. Mathematics
2 Science China. Technological Sciences
1 Computers & Mathematics with Applications
1 International Journal of Control
1 Israel Journal of Mathematics
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Journal of the Mechanics and Physics of Solids
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Periodica Mathematica Hungarica
1 Physics Reports
1 Computing
1 Fundamenta Mathematicae
1 Integral Equations and Operator Theory
1 Kybernetika
1 Mathematische Annalen
1 Mathematica Slovaca
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Quarterly of Applied Mathematics
...and 64 more Serials
all top 5

Cited in 39 Fields

309 Dynamical systems and ergodic theory (37-XX)
278 Partial differential equations (35-XX)
271 Ordinary differential equations (34-XX)
93 Biology and other natural sciences (92-XX)
40 Systems theory; control (93-XX)
38 Numerical analysis (65-XX)
23 Global analysis, analysis on manifolds (58-XX)
21 Mechanics of particles and systems (70-XX)
21 Fluid mechanics (76-XX)
15 Probability theory and stochastic processes (60-XX)
14 Combinatorics (05-XX)
14 Information and communication theory, circuits (94-XX)
13 Operator theory (47-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Optics, electromagnetic theory (78-XX)
8 Difference and functional equations (39-XX)
8 Mechanics of deformable solids (74-XX)
7 Differential geometry (53-XX)
6 Operations research, mathematical programming (90-XX)
5 Manifolds and cell complexes (57-XX)
5 Computer science (68-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Algebraic topology (55-XX)
3 Integral equations (45-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Quantum theory (81-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 General topology (54-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Statistics (62-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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