Edit Profile (opens in new tab) Fiedler, Bernold Compute Distance To: Compute Author ID: 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 Documents Indexed: 99 Publications since 1983, including 3 Books 7 Contributions as Editor Biographic References: 1 Publication Co-Authors: 66 Co-Authors with 90 Joint Publications 2,390 Co-Co-Authors all top 5 Co-Authors 16 single-authored 17 Rocha, Carlos 8 Liebscher, Stefan 6 Brunovský, Pavol 4 Mochizuki, Atsushi 4 Sandstede, Björn 4 Schuppert, Andreas A. 4 Vishik, Marko Iosifovich 3 Afendikov, Andrei L. 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 Gedeon, Tomáš 2 Gröger, Konrad 2 Guo, Jong-Shenq 2 Heinze, Steffen 2 Hsu, Szebi 2 Kunkel, Peter 2 Kurosawa, Gen 2 Mallet-Paret, John Joseph 2 Saito, Daisuke 2 Schneider, Isabelle 2 Sprekels, Jürgen 2 Tsai, Je-Chiang 2 Turaev, Dmitry V. 1 Angenent, Sigurd Bernardus 1 Behrends, Ehrhard 1 Brehm, Bernhard 1 Castañeda, Pablo 1 Dangelmayr, Gerhard 1 de Wolff, B. A. J. 1 Deng, Bo 1 Deuflhard, Peter 1 Haugland, Sindre W. 1 Hell, Juliette 1 Houssni, Mohamed 1 Jangle, Nihar 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 Poláčik, Peter 1 Rademacher, Jens Diederich Michael 1 Rand, Richard H. 1 Sah, Si Mohamed 1 Salazar, Domingo 1 Scheurle, Jürgen 1 Schimansky-Geier, Lutz 1 Solà-Morales, Joan 1 Vanderbauwhede, Andre L. 1 Wulff, Claudia all top 5 Serials 12 Journal of Differential Equations 8 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 World Scientific Lecture Notes in Complex Systems 1 Networks and Heterogeneous Media 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 59 Partial differential equations (35-XX) 57 Dynamical systems and ergodic theory (37-XX) 37 Ordinary differential equations (34-XX) 14 Biology and other natural sciences (92-XX) 9 General and overarching topics; collections (00-XX) 8 Numerical analysis (65-XX) 7 Combinatorics (05-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Fluid mechanics (76-XX) 5 Systems theory; control (93-XX) 4 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 1,080 times in 629 Documents Cited by ▼ Year ▼ Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold 67 1990 Heteroclinic orbits of semilinear parabolic equations. Zbl 0849.35056Fiedler, Bernold; Rocha, Carlos 59 1996 Homoclinic period blow-up in reversible and conservative systems. Zbl 0762.34023Vanderbauwhede, André; Fiedler, Bernold 53 1992 Connecting orbits in scalar reaction diffusion equations. II: The complete solution. Zbl 0699.35144Brunovský, P.; Fiedler, B. 52 1989 A Poincaré-Bendixson theorem for scalar reaction diffusion equations. Zbl 0704.35070Fiedler, Bernold; Mallet-Paret, John 47 1989 Global bifurcation of periodic solutions with symmetry. Zbl 0644.34038Fiedler, Bernold 44 1988 The dynamics of rotating waves in scalar reaction diffusion equations. Zbl 0696.35086Angenent, S. B.; Fiedler, B. 41 1988 Connecting orbits in scalar reaction diffusion equations. Zbl 0679.35047Brunovský, P.; Fiedler, B. 39 1988 Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004Fiedler, Bernold; Scheel, Arnd 37 2003 Orbit equivalence of global attractors of semilinear parabolic differential equations. Zbl 0932.37065Fiedler, Bernold; Rocha, Carlos 35 2000 Numbers of zeros on invariant manifolds in reaction-diffusion equations. Zbl 0594.35056Brunovský, Pavol; Fiedler, Bernold 32 1986 Complicated dynamics of scalar reaction diffusion equations with a nonlocal term. Zbl 0726.35060Fiedler, Bernold; Poláčik, Peter 31 1990 Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 28 1996 Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method. Zbl 0967.70019Belhaq, Mohamed; Fiedler, Bernold; Lakrad, Faouzi 28 2000 Discretization of homoclinic orbits, rapid forcing and “invisible” chaos. Zbl 0923.34049Fiedler, Bernold; Scheurle, Jürgen 26 1996 Realization of meander permutations by boundary value problems. Zbl 0935.34018Fiedler, Bernold; Rocha, Carlos 21 1999 Dynamics of periodically forced parabolic equations on the circle. Zbl 0754.35066Sandstede, Björn; Fiedler, Bernold 19 1992 Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle. Zbl 1064.35076Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias 17 2004 Connections between Morse sets for delay-differential equations. Zbl 0659.34077Fiedler, Bernold; Maller-Paret, John 17 1989 Generic Hopf bifurcation from lines of equilibria without parameters. I: Theory. Zbl 0978.34035Fiedler, Bernold; Liebscher, Stefan; Alexander, J. C. 16 2000 Delay stabilization of periodic orbits in coupled oscillator systems. Zbl 1201.34103Fiedler, B.; Flunkert, V.; Hövel, P.; Schöll, E. 15 2010 Generic Hopf bifurcation from lines of equilibria without parameters. III. Binary oscillations. Zbl 1090.37556Fiedler, Bernold; Liebscher, Stefan; Alexander, J. C. 14 2000 Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms. Zbl 1135.35315Fiedler, Bernold; Vishik, Mark I. 13 2003 Basins of attraction in strongly damped coupled mechanical oscillators: A global example. Zbl 0919.70012Fiedler, Bernold; Belhaq, Mohamed; Houssni, Mohamed 13 1999 Global attractors of one-dimensional parabolic equations: Sixteen examples. Zbl 0814.35056Fiedler, Bernold 12 1994 An index for global Hopf bifurcation in parabolic systems. Zbl 0554.35010Fiedler, Bernold 12 1985 Connectivity and design of planar global attractors of Sturm type. I: Bipolar orientations and Hamiltonian paths. Zbl 1201.37102Fiedler, Bernold; Rocha, Carlos 11 2009 Global Hopf bifurcation of two-parameter flows. Zbl 0603.58015Fiedler, Bernold 11 1986 Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies. Zbl 1036.35022Fiedler, Bernold; Vishik, Mark I. 11 2001 Dynamics of nonlinear waves in dissipative systems: reduction, bifurcation and stability. Zbl 0866.35002Dangelmayr, Gerhard; Fiedler, Bernold; Kirchgässner, Klaus; Mielke, Alexander 11 1996 Dynamics and control at feedback vertex sets. I: Informative and determining nodes in regulatory networks. Zbl 1337.92074Fiedler, Bernold; Mochizuki, Atsushi; Kurosawa, Gen; Saito, Daisuke 11 2013 Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach. Zbl 0756.49003Fiedler, Bernold; Mischaikow, Konstantin 10 1992 Connectivity and design of planar global attractors of Sturm type. II: Connection graphs. Zbl 1179.35069Fiedler, Bernold; Rocha, Carlos 10 2008 Generic Hopf bifurcation from lines of equilibria without parameters: II. Systems of viscous hyperbolic balance laws. Zbl 0980.35098Fiedler, Bernold; Liebscher, Stefan 10 2000 Connectivity and design of planar global attractors of Sturm type. III: Small and platonic examples. Zbl 1204.35106Fiedler, Bernold; Rocha, Carlos 9 2010 Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients. Zbl 1055.35025Fiedler, B.; Vishik, M. I. 9 2002 Multiplicity of rotating spirals under curvature flows with normal tip motion. Zbl 1063.34001Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang 9 2004 Dynamics and control at feedback vertex sets. II: A faithful monitor to determine the diversity of molecular activities in regulatory networks. Zbl 1397.92256Mochizuki, Atsushi; Fiedler, Bernold; Kurosawa, Gen; Saito, Daisuke 9 2013 Do global attractors depend on boundary conditions? Zbl 0855.58053Fiedler, Bernold 8 1996 A class of convergent neural network dynamics. Zbl 0944.34039Fiedler, Bernold; Gedeon, Tomáš 8 1998 An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle. Zbl 1307.35058Fiedler, B.; Grotta-Ragazzo, C.; Rocha, C. 8 2014 Coalescence of reversible homoclinic orbits causes elliptic resonance. Zbl 0876.34057Fiedler, Bernold; Turaev, Dimitry 8 1996 Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I. 8 1998 Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions. Zbl 0957.37026Fiedler, Bernold; Turaev, Dmitry 8 1998 Rotating spirals of curvature flows: a center manifold approach. Zbl 1223.37110Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang 7 2006 Schoenflies spheres as boundaries of bounded unstable manifolds in gradient Sturm systems. Zbl 1375.35259Fiedler, Bernold; Rocha, Carlos 6 2015 Beyond the odd-number limitation of time-delayed feedback control. 2nd completely revised and enlarged ed. Zbl 1183.93062Fiedler, Bernold; Flunkert, Valentin; Goergi, Marc; Hövel, Philipp 6 2008 A Lyapunov function for tridiagonal competitive-cooperative systems. Zbl 0922.34041Fiedler, Bernold; Gedeon, Tomás 6 1999 Delayed feedback control of a delay equation at Hopf bifurcation. Zbl 1358.34079Fiedler, Bernold; Muniz Oliva, Sergio Muniz 6 2016 Nonlinear Sturm global attractors: unstable manifold decompositions as regular CW-complexes. Zbl 1327.35194Fiedler, Bernold; Rocha, Carlos 5 2014 Discrete Lyapunov functionals and \(\omega\)-limit sets. Zbl 0688.58041Fiedler, Bernold 5 1989 Sturm 3-ball global attractors 3: examples of Thom-Smale complexes. Zbl 1396.37036Fiedler, Bernold; Rocha, Carlos 5 2018 Simplicity of zeros in scalar parabolic equations. Zbl 0549.35062Brunovský, P.; Fiedler, B. 5 1986 Handbook of dynamical systems. Volume 2. Zbl 0982.37002 5 2002 Global pathfollowing of homoclinic orbits in twoparameter flows. Zbl 0866.35004Fiedler, B. 4 1996 Sturm global attractors for \(S^1\)-equivariant parabolic equations. Zbl 1262.35053Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias 4 2012 Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. Zbl 1231.92061Fiedler, Bernold; Hsu, Sze-Bi 4 2009 Sensitivity of chemical reaction networks: A structural approach. 3. regular multimolecular systems. Zbl 1388.82017Brehm, Bernhard; Fiedler, Bernold 3 2018 Global Hopf bifurcation in porous catalysts. Zbl 0528.35007Fiedler, Bernold 3 1983 A permutation characterization of Sturm global attractors of Hamiltonian type. Zbl 1233.35042Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias 3 2012 Roots and centralizers of Anosov diffeomorphisms on tori. Zbl 1097.37015Fiedler, Bernold 3 2005 Delay stabilization of rotating waves without odd number limitation. Zbl 1160.37429Fiedler, Bernold; Flunkert, Valentin; Georgi, Marc; Hövel, Philipp; Schöll, Eckehard 3 2008 Periods of discretized linear Anosov maps. Zbl 0915.58075Behrends, Ehrhard; Fiedler, Bernold 3 1998 Sensitivity of chemical reaction networks: a structural approach. 2. Regular monomolecular systems. Zbl 1333.94079Fiedler, Bernold; Mochizuki, Atsushi 2 2015 Analysis and control of complex nonlinear processes in physics, chemistry and biology. Zbl 1110.82004 2 2007 Sturm 3-ball global attractors. 1: Thom-Smale complexes and meanders. Zbl 1408.37027Fiedler, Bernold; Rocha, Carlos 2 2018 Sensitivity of chemical reaction networks: a structural approach. 1. Examples and the carbon metabolic network. Zbl 1412.92098Mochizuki, Atsushi; Fiedler, Bernold 2 2015 A Lyapunov function for fully nonlinear parabolic equations in one spatial variable. Zbl 1415.35155Lappicy, Phillipo; Fiedler, Bernold 2 2019 Global Hopf bifurcation for Volterra integral equations. Zbl 0605.45002Fiedler, Bernold 2 1986 Connections in scalar reaction diffusion equations with Neumann boundary condition. Zbl 0616.35044Fiedler, B.; Brunovský, P. 2 1986 Homotopy invariants of time reversible periodic orbits. I: Theory. Zbl 0852.34038Fiedler, Bernold; Heinze, Steffen 2 1996 Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators. Zbl 1443.34070Fiedler, Bernold; Nieto, Alejandro López; Rand, Richard H.; Sah, Si Mohamed; Schneider, Isabelle; de Wolff, Babette 2 2020 Rainbow meanders and Cartesian billiards. Zbl 1333.37015Fiedler, Bernold; Castañeda, Pablo 2 2012 Upscaling of some exothermic reactions from chemical industry. Zbl 0887.92033Efendiev, M. A.; Fiedler, B.; Schuppert, A. 1 1996 Thermically stable upscaling of an exothermic model reaction. (Thermisch stabiles Upscaling einer exothermen Modellreaktion.) Zbl 0867.76091Fiedler, B.; Efendiev, M.; Schuppert, A. 1 1997 Sturm 3-ball global attractors 2: design of Thom-Smale complexes. Zbl 1423.35040Fiedler, Bernold; Rocha, Carlos 1 2019 Global decoupling of coupled symmetric oscillators. Zbl 0678.34038Alexander, J. C.; Fiedler, B. 1 1989 Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094Deuflhard, P.; Fiedler, B.; Kunkel, P. 1 1987 Takens-Bogdanov bifurcations without parameters and oscillatory shock profiles. Zbl 1198.37082Fiedler, Bernold; Liebscher, Stefan 1 2001 Homotopy invariants of time reversible periodic orbits. II: Towards applications. Zbl 0852.34039Fiedler, Bernold; Heinze, Steffen 1 1996 Bifurcations without parameters: Some ODE and PDE examples. Zbl 1037.34033Fiedler, Bernold; Liebscher, Stefan 1 2002 Dynamics of piecewise-autonomous bistable parabolic equations. Zbl 1004.35069Fiedler, Bernold; Rocha, Carlos; Salazar, Domingo; Solà-Morales, Joan 1 2002 Global dynamics of blow-up profiles in one-dimensional reaction diffusion equations. Zbl 1132.35048Fiedler, Bernold; Matano, Hiroshi 1 2007 Local identification of scalar hybrid models with tree structure. Zbl 1211.93040Fiedler, Bernold; Schuppert, Andreas 1 2008 Spiral wave dynamics: reaction and diffusion versus kinematics. Zbl 1126.80007Fiedler, Bernold; Georgi, Marc; Jangle, Nihar 1 2007 Stabilized rapid oscillations in a delay equation: feedback control by a small resonant delay. Zbl 1450.34048Fiedler, Bernold; Schneider, Isabelle 1 2020 Global Hopf bifurcation in networks with fast feedback cycles. Zbl 1454.34060Fiedler, Bernold 1 2021 Heteroclinic connections of stationary solutions of scalar reaction- diffusion equations. Zbl 0661.35050Brunovský, P.; Fiedler, B. 1 1987 Anisotropic Einstein data with isotropic non negative prescribed scalar curvature. Zbl 1332.35358Fiedler, Bernold; Hell, Juliette; Smith, Brian 1 2015 Plane Kolmogorov flows and Takens-Bogdanov bifurcation without parameters: the singly reversible case. Zbl 1233.37054Afendikov, Andrei; Fiedler, Bernold; Liebscher, Stefan 1 2011 Global Hopf bifurcation in networks with fast feedback cycles. Zbl 1454.34060Fiedler, Bernold 1 2021 Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators. Zbl 1443.34070Fiedler, Bernold; Nieto, Alejandro López; Rand, Richard H.; Sah, Si Mohamed; Schneider, Isabelle; de Wolff, Babette 2 2020 Stabilized rapid oscillations in a delay equation: feedback control by a small resonant delay. Zbl 1450.34048Fiedler, Bernold; Schneider, Isabelle 1 2020 A Lyapunov function for fully nonlinear parabolic equations in one spatial variable. Zbl 1415.35155Lappicy, Phillipo; Fiedler, Bernold 2 2019 Sturm 3-ball global attractors 2: design of Thom-Smale complexes. Zbl 1423.35040Fiedler, Bernold; Rocha, Carlos 1 2019 Sturm 3-ball global attractors 3: examples of Thom-Smale complexes. Zbl 1396.37036Fiedler, Bernold; Rocha, Carlos 5 2018 Sensitivity of chemical reaction networks: A structural approach. 3. regular multimolecular systems. Zbl 1388.82017Brehm, Bernhard; Fiedler, Bernold 3 2018 Sturm 3-ball global attractors. 1: Thom-Smale complexes and meanders. Zbl 1408.37027Fiedler, Bernold; Rocha, Carlos 2 2018 Delayed feedback control of a delay equation at Hopf bifurcation. Zbl 1358.34079Fiedler, Bernold; Muniz Oliva, Sergio Muniz 6 2016 Schoenflies spheres as boundaries of bounded unstable manifolds in gradient Sturm systems. Zbl 1375.35259Fiedler, Bernold; Rocha, Carlos 6 2015 Sensitivity of chemical reaction networks: a structural approach. 2. Regular monomolecular systems. Zbl 1333.94079Fiedler, Bernold; Mochizuki, Atsushi 2 2015 Sensitivity of chemical reaction networks: a structural approach. 1. Examples and the carbon metabolic network. Zbl 1412.92098Mochizuki, Atsushi; Fiedler, Bernold 2 2015 Anisotropic Einstein data with isotropic non negative prescribed scalar curvature. Zbl 1332.35358Fiedler, Bernold; Hell, Juliette; Smith, Brian 1 2015 An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle. Zbl 1307.35058Fiedler, B.; Grotta-Ragazzo, C.; Rocha, C. 8 2014 Nonlinear Sturm global attractors: unstable manifold decompositions as regular CW-complexes. Zbl 1327.35194Fiedler, Bernold; Rocha, Carlos 5 2014 Dynamics and control at feedback vertex sets. I: Informative and determining nodes in regulatory networks. Zbl 1337.92074Fiedler, Bernold; Mochizuki, Atsushi; Kurosawa, Gen; Saito, Daisuke 11 2013 Dynamics and control at feedback vertex sets. II: A faithful monitor to determine the diversity of molecular activities in regulatory networks. Zbl 1397.92256Mochizuki, Atsushi; Fiedler, Bernold; Kurosawa, Gen; Saito, Daisuke 9 2013 Sturm global attractors for \(S^1\)-equivariant parabolic equations. Zbl 1262.35053Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias 4 2012 A permutation characterization of Sturm global attractors of Hamiltonian type. Zbl 1233.35042Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias 3 2012 Rainbow meanders and Cartesian billiards. Zbl 1333.37015Fiedler, Bernold; Castañeda, Pablo 2 2012 Plane Kolmogorov flows and Takens-Bogdanov bifurcation without parameters: the singly reversible case. Zbl 1233.37054Afendikov, Andrei; Fiedler, Bernold; Liebscher, Stefan 1 2011 Delay stabilization of periodic orbits in coupled oscillator systems. Zbl 1201.34103Fiedler, B.; Flunkert, V.; Hövel, P.; Schöll, E. 15 2010 Connectivity and design of planar global attractors of Sturm type. III: Small and platonic examples. Zbl 1204.35106Fiedler, Bernold; Rocha, Carlos 9 2010 Connectivity and design of planar global attractors of Sturm type. I: Bipolar orientations and Hamiltonian paths. Zbl 1201.37102Fiedler, Bernold; Rocha, Carlos 11 2009 Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. Zbl 1231.92061Fiedler, Bernold; Hsu, Sze-Bi 4 2009 Connectivity and design of planar global attractors of Sturm type. II: Connection graphs. Zbl 1179.35069Fiedler, Bernold; Rocha, Carlos 10 2008 Beyond the odd-number limitation of time-delayed feedback control. 2nd completely revised and enlarged ed. Zbl 1183.93062Fiedler, Bernold; Flunkert, Valentin; Goergi, Marc; Hövel, Philipp 6 2008 Delay stabilization of rotating waves without odd number limitation. Zbl 1160.37429Fiedler, Bernold; Flunkert, Valentin; Georgi, Marc; Hövel, Philipp; Schöll, Eckehard 3 2008 Local identification of scalar hybrid models with tree structure. Zbl 1211.93040Fiedler, Bernold; Schuppert, Andreas 1 2008 Analysis and control of complex nonlinear processes in physics, chemistry and biology. Zbl 1110.82004 2 2007 Global dynamics of blow-up profiles in one-dimensional reaction diffusion equations. Zbl 1132.35048Fiedler, Bernold; Matano, Hiroshi 1 2007 Spiral wave dynamics: reaction and diffusion versus kinematics. Zbl 1126.80007Fiedler, Bernold; Georgi, Marc; Jangle, Nihar 1 2007 Rotating spirals of curvature flows: a center manifold approach. Zbl 1223.37110Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang 7 2006 Roots and centralizers of Anosov diffeomorphisms on tori. Zbl 1097.37015Fiedler, Bernold 3 2005 Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle. Zbl 1064.35076Fiedler, Bernold; Rocha, Carlos; Wolfrum, Matthias 17 2004 Multiplicity of rotating spirals under curvature flows with normal tip motion. Zbl 1063.34001Fiedler, Bernold; Guo, Jong-Shenq; Tsai, Je-Chiang 9 2004 Spatio-temporal dynamics of reaction-diffusion patterns. Zbl 1082.37004Fiedler, Bernold; Scheel, Arnd 37 2003 Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms. Zbl 1135.35315Fiedler, Bernold; Vishik, Mark I. 13 2003 Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients. Zbl 1055.35025Fiedler, B.; Vishik, M. I. 9 2002 Handbook of dynamical systems. Volume 2. Zbl 0982.37002 5 2002 Bifurcations without parameters: Some ODE and PDE examples. Zbl 1037.34033Fiedler, Bernold; Liebscher, Stefan 1 2002 Dynamics of piecewise-autonomous bistable parabolic equations. Zbl 1004.35069Fiedler, Bernold; Rocha, Carlos; Salazar, Domingo; Solà-Morales, Joan 1 2002 Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies. Zbl 1036.35022Fiedler, Bernold; Vishik, Mark I. 11 2001 Takens-Bogdanov bifurcations without parameters and oscillatory shock profiles. Zbl 1198.37082Fiedler, Bernold; Liebscher, Stefan 1 2001 Orbit equivalence of global attractors of semilinear parabolic differential equations. Zbl 0932.37065Fiedler, Bernold; Rocha, Carlos 35 2000 Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method. Zbl 0967.70019Belhaq, Mohamed; Fiedler, Bernold; Lakrad, Faouzi 28 2000 Generic Hopf bifurcation from lines of equilibria without parameters. I: Theory. Zbl 0978.34035Fiedler, Bernold; Liebscher, Stefan; Alexander, J. C. 16 2000 Generic Hopf bifurcation from lines of equilibria without parameters. III. Binary oscillations. Zbl 1090.37556Fiedler, 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 0980.35098Fiedler, Bernold; Liebscher, Stefan 10 2000 Realization of meander permutations by boundary value problems. Zbl 0935.34018Fiedler, Bernold; Rocha, Carlos 21 1999 Basins of attraction in strongly damped coupled mechanical oscillators: A global example. Zbl 0919.70012Fiedler, Bernold; Belhaq, Mohamed; Houssni, Mohamed 13 1999 A Lyapunov function for tridiagonal competitive-cooperative systems. Zbl 0922.34041Fiedler, Bernold; Gedeon, Tomás 6 1999 A class of convergent neural network dynamics. Zbl 0944.34039Fiedler, Bernold; Gedeon, Tomáš 8 1998 Large patterns of elliptic systems in infinite cylinders. Zbl 0917.35011Fiedler, Bernold; Scheel, Arnd; Vishik, Mark I. 8 1998 Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions. Zbl 0957.37026Fiedler, Bernold; Turaev, Dmitry 8 1998 Periods of discretized linear Anosov maps. Zbl 0915.58075Behrends, Ehrhard; Fiedler, Bernold 3 1998 Thermically stable upscaling of an exothermic model reaction. (Thermisch stabiles Upscaling einer exothermen Modellreaktion.) Zbl 0867.76091Fiedler, B.; Efendiev, M.; Schuppert, A. 1 1997 Heteroclinic orbits of semilinear parabolic equations. Zbl 0849.35056Fiedler, Bernold; Rocha, Carlos 59 1996 Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Zbl 0870.58014Fiedler, Bernold; Sandstede, Björn; Scheel, Arnd; Wulff, Claudia 28 1996 Discretization of homoclinic orbits, rapid forcing and “invisible” chaos. Zbl 0923.34049Fiedler, Bernold; Scheurle, Jürgen 26 1996 Dynamics of nonlinear waves in dissipative systems: reduction, bifurcation and stability. Zbl 0866.35002Dangelmayr, Gerhard; Fiedler, Bernold; Kirchgässner, Klaus; Mielke, Alexander 11 1996 Do global attractors depend on boundary conditions? Zbl 0855.58053Fiedler, Bernold 8 1996 Coalescence of reversible homoclinic orbits causes elliptic resonance. Zbl 0876.34057Fiedler, Bernold; Turaev, Dimitry 8 1996 Global pathfollowing of homoclinic orbits in twoparameter flows. Zbl 0866.35004Fiedler, B. 4 1996 Homotopy invariants of time reversible periodic orbits. I: Theory. Zbl 0852.34038Fiedler, Bernold; Heinze, Steffen 2 1996 Upscaling of some exothermic reactions from chemical industry. Zbl 0887.92033Efendiev, M. A.; Fiedler, B.; Schuppert, A. 1 1996 Homotopy invariants of time reversible periodic orbits. II: Towards applications. Zbl 0852.34039Fiedler, Bernold; Heinze, Steffen 1 1996 Global attractors of one-dimensional parabolic equations: Sixteen examples. Zbl 0814.35056Fiedler, Bernold 12 1994 Homoclinic period blow-up in reversible and conservative systems. Zbl 0762.34023Vanderbauwhede, André; Fiedler, Bernold 53 1992 Dynamics of periodically forced parabolic equations on the circle. Zbl 0754.35066Sandstede, Björn; Fiedler, Bernold 19 1992 Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach. Zbl 0756.49003Fiedler, Bernold; Mischaikow, Konstantin 10 1992 Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold 67 1990 Complicated dynamics of scalar reaction diffusion equations with a nonlocal term. Zbl 0726.35060Fiedler, Bernold; Poláčik, Peter 31 1990 Connecting orbits in scalar reaction diffusion equations. II: The complete solution. Zbl 0699.35144Brunovský, P.; Fiedler, B. 52 1989 A Poincaré-Bendixson theorem for scalar reaction diffusion equations. Zbl 0704.35070Fiedler, Bernold; Mallet-Paret, John 47 1989 Connections between Morse sets for delay-differential equations. Zbl 0659.34077Fiedler, Bernold; Maller-Paret, John 17 1989 Discrete Lyapunov functionals and \(\omega\)-limit sets. Zbl 0688.58041Fiedler, Bernold 5 1989 Global decoupling of coupled symmetric oscillators. Zbl 0678.34038Alexander, J. C.; Fiedler, B. 1 1989 Global bifurcation of periodic solutions with symmetry. Zbl 0644.34038Fiedler, Bernold 44 1988 The dynamics of rotating waves in scalar reaction diffusion equations. Zbl 0696.35086Angenent, S. B.; Fiedler, B. 41 1988 Connecting orbits in scalar reaction diffusion equations. Zbl 0679.35047Brunovský, P.; Fiedler, B. 39 1988 Numerical pathfollowing beyond critical points in ODE models. Zbl 0617.65094Deuflhard, P.; Fiedler, B.; Kunkel, P. 1 1987 Heteroclinic connections of stationary solutions of scalar reaction- diffusion equations. Zbl 0661.35050Brunovský, P.; Fiedler, B. 1 1987 Numbers of zeros on invariant manifolds in reaction-diffusion equations. Zbl 0594.35056Brunovský, Pavol; Fiedler, Bernold 32 1986 Global Hopf bifurcation of two-parameter flows. Zbl 0603.58015Fiedler, Bernold 11 1986 Simplicity of zeros in scalar parabolic equations. Zbl 0549.35062Brunovský, P.; Fiedler, B. 5 1986 Global Hopf bifurcation for Volterra integral equations. Zbl 0605.45002Fiedler, Bernold 2 1986 Connections in scalar reaction diffusion equations with Neumann boundary condition. Zbl 0616.35044Fiedler, B.; Brunovský, P. 2 1986 An index for global Hopf bifurcation in parabolic systems. Zbl 0554.35010Fiedler, Bernold 12 1985 Global Hopf bifurcation in porous catalysts. Zbl 0528.35007Fiedler, Bernold 3 1983 all cited Publications top 5 cited Publications all top 5 Cited by 773 Authors 39 Fiedler, Bernold 21 Rocha, Carlos 20 Scheel, Arnd 19 Zhu, Deming 16 Poláčik, Peter 14 Sandstede, Björn 10 Krawcewicz, Wieslaw Z. 9 Chepyzhov, Vladimir V. 9 Knobloch, Jürgen 9 Lamb, Jeroen S. W. 9 Li, Wenxue 8 Balanov, Zalman I. 8 Melbourne, Ian 8 Valero, José 8 Wu, Jianhong 7 Belhaq, Mohamed 7 Brunovský, Pavol 7 Chung, Kwok-Wai 7 Fečkan, Michal 7 Homburg, Ale Jan 7 Mischaikow, Konstantin 7 Wang, Yi 7 Wolfrum, Matthias 7 Wulff, Claudia 6 Ashwin, Peter 6 Jin, Yinlai 6 Lappicy, Phillipo 6 Matthies, Karsten 6 Mielke, Alexander 6 Fernandes da Silva Pimentel, Juliana 6 Qin, Bo-Wei 6 Rachinskii, Dmitrii I. 6 Rademacher, Jens Diederich Michael 6 Rodríguez-Luis, Alejandro J. 6 Schneider, Isabelle 6 Shen, Wenxian 5 Algaba, Antonio 5 Champneys, Alan R. 5 Chechkin, Gregory Aleksandrovich 5 Guo, Jong-Shenq 5 Hale, Jack Kenneth 5 Hooton, Edward W. 5 Kokubu, Hiroshi 5 Lakrad, Faouzi 5 Lu, Qiuying 5 Mallet-Paret, John Joseph 5 Naudot, Vincent 5 Nolasco de Carvalho, Alexandre 5 Valdebenito, Darío A. 5 Vandervorst, Robertus C. A. M. 5 Vishik, Marko Iosifovich 5 Wang, Ke 5 Zelik, Sergey V. 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 Lerman, Lev 4 Su, Huan 4 Tsai, Je-Chiang 4 van den Berg, Jan Bouwe 4 Wagenknecht, Thomas 3 Angenent, Sigurd Bernardus 3 Avery, Montie 3 Beyn, Wolf-Jürgen 3 Blyuss, Konstantin B. 3 Chen, Guanrong 3 Chen, Shuhui 3 Chen, Xu-Yan 3 Chen, Yangyang 3 Dai, Jia-Yuan 3 de Rijk, Björn 3 de Wolff, B. A. J. 3 Fahsi, Abdelhak 3 Freitas, Pedro 3 Gaeta, Giuseppe 3 Geng, Fengjie 3 Härterich, Jörg M. 3 Herrero, Miguel Ángel 3 Hövel, Philipp 3 Huang, Lihong 3 Hupkes, Hermen Jan 3 Kapustyan, Oleksiy V. 3 Kasyanov, Pavlo O. 3 Lauterbach, Reiner 3 Liebscher, Stefan 3 Liu, Yan 3 Matano, Hiroshi 3 Mei, Zhen 3 Postlethwaite, Claire M. 3 Prizzi, Martino 3 Raugel, Geneviève 3 Rybakowski, Krzysztof P. 3 Scheurle, Jürgen 3 Schöll, Eckehard 3 Shih, Chih-Wen ...and 673 more Authors all top 5 Cited in 155 Serials 76 Journal of Differential Equations 51 Journal of Dynamics and Differential Equations 39 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 13 Discrete and Continuous Dynamical Systems 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Chaos, Solitons and Fractals 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Chaos 10 Communications in Nonlinear Science and Numerical Simulation 10 SIAM Journal on Applied Dynamical Systems 9 Journal of Mathematical Biology 9 Nonlinear Dynamics 8 SIAM Journal on Mathematical Analysis 8 Journal of Nonlinear Science 7 Applied Mathematics and Computation 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 Communications on Pure and Applied Analysis 5 Applicable Analysis 5 Nonlinearity 5 Bulletin of Mathematical Biology 5 Proceedings of the American Mathematical Society 5 Dynamical Systems 5 Journal of Theoretical Biology 4 Rocky Mountain Journal of 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 Regular and Chaotic Dynamics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Automatica 3 Journal of Computational and Applied Mathematics 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 SIAM Journal on Applied Mathematics 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 São Paulo Journal of Mathematical Sciences 3 Journal of Geometric Mechanics 2 Communications on Pure and Applied Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 BIT 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 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 Experimental Mathematics 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 Biosciences 1 Periodica Mathematica Hungarica 1 Physics Reports 1 Russian Mathematical Surveys 1 Computing 1 Fundamenta Mathematicae 1 Integral Equations and Operator Theory 1 Kybernetika 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Meccanica 1 Quarterly of Applied Mathematics 1 Theoretical Computer Science 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Stochastic Analysis and Applications ...and 55 more Serials all top 5 Cited in 38 Fields 296 Dynamical systems and ergodic theory (37-XX) 260 Partial differential equations (35-XX) 254 Ordinary differential equations (34-XX) 79 Biology and other natural sciences (92-XX) 34 Numerical analysis (65-XX) 34 Systems theory; control (93-XX) 22 Global analysis, analysis on manifolds (58-XX) 21 Mechanics of particles and systems (70-XX) 19 Fluid mechanics (76-XX) 13 Combinatorics (05-XX) 13 Probability theory and stochastic processes (60-XX) 13 Information and communication theory, circuits (94-XX) 12 Operator theory (47-XX) 11 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Mechanics of deformable solids (74-XX) 8 Difference and functional equations (39-XX) 5 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Algebraic topology (55-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Integral equations (45-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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