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Publications Bruno Eckhardt


Books 


Harald Friedrich and Bruno Eckhardt(eds.)
Classical, Semiclassical and Quantum Dynamics in Atoms,vol. 485 of Springer Lecture Notes in Physics, pp. 63-82. Berlin: Springer, 1997


Bruno Eckhardt
CHAOS
Fisher Kompakt, 128 S., 2004

 

Articles


1984

Bruno Eckhardt, Joseph Ford and Franco Vivaldi
Analytically solvable dynamical systems which are not integrable. Physica D 13, 339-356 (1984)

1985

Bruno Eckhardt and Peter H. Richter
Computation of bifurcation diagrams for Selkov's model of glycolytic oscillations. In L. Rensing and N. I. Jaeger (eds.): Temporal Order, pp. 197-200. Berlin: Springer, 1985

1986

Bruno Eckhardt
Maslov-WKB theory for supersymmetric Hamiltonians. Physics Letters 168B (3), 245-247 (1986)

B. Eckhardt, J. A. Louw and W.-H. Steeb
Is there a connection between local and global (in-)stability? Australian Journal of Physics 39, 331-337 (1986)

Bruno Eckhardt
Exact eigenfunctions for a quantised map. Journal of Physics A 19, 1823-1831 (1986)

Bruno Eckhardt and Christof Jung
Regular and irregular potential scattering. Journal of Physics A 19, L829-L833 (1986)

Bruno Eckhardt
Birkhoff-Gustavson normal form in classical and quantum mechanics. Journal of Physics A 19, 2961-2972 (1986)

1987

Bruno Eckhardt
Fractals in quantum mechanics!? In E. R. Pike and L. A. Lugiato (eds.): Fractals, Noise and Chaos, pp. 47-54. Bristol: Adam Hilger, 1987

Bruno Eckhardt
Comment on "Master equation for a damped nonlinear oscillator''. Physical Review A 35 (12), 5291-5292 (1987)

A. Sakthivel, A. D. French, B. Eckhardt and R. A. Young
Application of the Rietveld crystal structure refinement method to cellotetraose. In R. H. Atalla(ed.): The Structures of Cellulose, vol. 340 of ACS Symposium, chap. 4, pp. 68-87. Washington: ACS, 1987

Bruno Eckhardt
Fractal properties of scattering singularities. Journal of Physics A 20, 5971-5979 (1987)

1988

Bruno Eckhardt
Irregular scattering of vortex pairs. Europhysics Letters 5 (2), 107-111 (1988)

Hassan Aref, James B. Kadtke, Ireneusz Zawadzki, Laurence J. Campbell and Bruno Eckhardt
Point vortex dynamics: recent results and open problems. Fluid Dynamics Research (Japan) 3 (1-4), 63-74 (1988)

Bruno Eckhardt
Quantum mechanics of classically non-integrable systems. Physics Reports 163 (4), 205-297 (1988)

Bruno Eckhardt
Irregular scattering. Physica D 33, 89-98 (1988)

Bruno Eckhardt
Integrable four vortex motion. Physics of Fluids 31 (20), 2796-2801 (1988)

Bruno Eckhardt and Hassan Aref
Integrable and chaotic motions of four vortices II. Collision dynamics of vortex pairs. Philosophical Transactions of the Royal Society, London, Series A 326, 655-696 (1988)

1989

Bruno Eckhardt, Gabriel Hose and Eli Pollak
Quantum mechanics of a classical chaotic system: Observations on scars, periodic orbits, and vibrational adiabaticity. Physical Review A 39 (8), 3776-3793 (1989)

Bruno Eckhardt and Erik Aurell
Convergence of the semi-classical periodic orbit expansion. Europhysics Letters 9 (6), 509-512 (1989)

Predrag Cvitanovic and Bruno Eckhardt
Periodic-orbit quantization of chaotic systems. Physical Review Letters 63 (8), 823-826 (1989)

1990

Bruno Eckhardt and Dieter Wintgen
Symbolic description of periodic orbits for the quadratic Zeeman effect. Journal of Physics B 23, 355-363 (1990)

Bruno Eckhardt
Lagrangian Chaos and Transport of Scalars. In H. K. Moffat and A. Tsinober (eds.): Topological Fluid Mechanics, Proceedings of the IUTAM Symposium Cambridge 1989, pp. 23-33. Cambridge, 1990

Bruno Eckhardt, Jose M. Gomez Llorente and Eli Pollak
Phase space analysis of chaotic spectra in a conservative Hamiltonian system. Chemical Physics Letters 174 (3, 4), 325-332 (1990)

1991

Bruno Eckhardt
Towards periodic orbit spectroscopy. Comments of Atomic and Molecular Physics 25 (4-6), 273-279 (1991)

Predrag Cvitanovic and Bruno Eckhardt
Periodic orbit expansion for classical smooth flows. Journal of Physics A 24, L237-L241 (1991)

Bruno Eckhardt and Dieter Wintgen
Indices in classical mechanics. Journal of Physics A 24, 4335-4348 (1991)

Bruno Eckhardt
Chaotische Transienten. Physikalische Blätter 47 (11), 1007-1008 (1991) 

G. Tanner, P. Scherer, E. B. Bogomonly, B. Eckhardt and D. Wintgen
Quantum eigenvalues from classical periodic orbits. Physical Review Letters 67 (18), 2410-2413 (1991)

1992

B. Eckhardt, S. Fishman, K. Mäller and D. Wintgen
Semiclassical matrix elements from periodic orbits. Physical Review A 45 (6), 3531-3539 (1992)

1993

Bruno Eckhardt
Periodic-orbit theory. In G. Casati, I. Guarneri, and U. Smilansky (eds.): Quantum Chaos, Proceedings of the International School of Physics Enrico Fermi 1991, Course CXIX, pp. 77-111. Italian Physical Society, Amsterdam: North-Holland, 1993

Predrag Cvitanovic and Bruno Eckhardt
Symmetry decomposition of chaotic dynamics. Nonlinearity 6, 277-311 (1993)

Bruno Eckhardt and Gunnar Russberg
Resummation of classical and semiclassical periodic-orbit formulas. Physical Review E 47 (3), 1578-1588 (1993)

Bruno Eckhardt and Demin Yao
Local Lyapunov exponents in chaotic systems. Physica D 65, 100-108 (1993)

Bruno Eckhardt
Periodic orbits and diffusion in standard maps. Physics Letters A 172, 411-415 (1993)

Bruno Eckhardt
Order and chaos in quantum irregular scattering: Wigner's time delay. Vistas in Astronomy 37, 43-55 (1993)

Bruno Eckhardt
Symmetries and spectra of maps. Acta Physica Polonica B 24 (4), 771-783 (1993)

Hirokazu Fujisaka, Hideto Shigematsu and Bruno Eckhardt
Continued-fraction expansion of eigenvalues of generalized evolution operators in terms of periodic orbits. Zeitschrift für Physik B 92, 235-242 (1993)

Marek Kus, Fritz Haake and Bruno Eckhardt
Quantum effects of periodic orbits for the kicked top. Zeitschrift für Physik B 92, 221-233 (1993)

Bruno Eckhardt
Escape rates and Hausdorff dimension of Julia sets. Chaos, Solitons & Fractals 3 (4), 387-394 (1993)

Bruno Eckhardt
Correlations in quantum time delay. CHAOS 3 (4), 613-617 (1993)

1994

Bruno Eckhardt and Gerolf Ott
Periodic orbit analysis of the Lorentz attractor. Zeitschrift für Physik B 93, 259-266 (1994)

M. Kollmann, J. Stein, U. Stoffregen, H.-J. Stöckmann and B. Eckhardt
Periodic orbit analysis of billiard level dynamics. Physical Review E 49(1), R1-R4 (1994)

Bruno Eckhardt and Fritz Haake
Periodic orbit quantization of baker's map. Journal of Physics A 27, 4449-4455 (1994)

Bruno Eckhardt and Siegfried Grossmann
Correlation functions in chaotic systems from periodic orbits. Physical Review E 50 (6), 4571-4576 (1994)

Heiko de Vries, Torsten Becker and Bruno Eckhardt
Power law distribution of discharge in ideal networks. Water Resources Research 30 (12), 3541-3543 (1994) (including comment and response)

Heiko de Vries, Torsten Becker and Bruno Eckhardt
Reply to a comment by P. La Barbera and G. Roth on "Power law distribution of discharge in ideal networks''. Water Resources Research 32 (8), 2615 (1996) (including article and comment)

1995

B. Eckhardt, G. Russberg, P. Cvitanovic, P. E. Rosenqvist and P. Scherer
Pinball scattering. In G. Casati and B. V. Chirikov (eds.): Quantum Chaos, pp. 405-433. Cambridge: Cambridge University Press, 1995

Torsten Becker, Heiko de Vries and Bruno Eckhardt
Dynamics of a stochastically driven running sandpile. Journal of Nonlinear Science 5, 167-188 (1995)

Bruno Eckhardt
Semiclassical bakers map. In Y. Aizawa, S. Saito, and K. Shiraiwa(eds.): Dynamical Systems and Chaos, vol. 2: Physics, pp. 457-462. World Scientific, 1995

Bruno Eckhardt
Transition state theory for ballistic electrons. Journal of Physics A 28, 3469-3478 (1995)

Bruno Eckhardt and Demin Yao
Local stability analysis along Lagrangian paths. Chaos, Solitons & Fractals 5 (11), 2073-2088 (1995)

Bruno Eckhardt, Shmuel Fishman, Jonathan Keating, Oded Agam, Jörg Main and Kirsten Müller
Approach to ergodicity in quantum wave functions. Physical Review E 52 (6), 5893-5903 (1995)

Bruno Eckhardt and Jörg Main
Semiclassical form factor of matrix element fluctuations. Physical Review Letters 75 (12), 2300-2303 (1995)

1996

Bruno Eckhardt
Semiclassical trace formulas. In M. Namiki, I. Ohba, K. Maeda, and Y. Aizawa (eds.): Quantum Physics, Chaos Theory and Cosmology, pp. 227-240. Woodbury: American Institute of Physics, 1996

Olaf Frank and Bruno Eckhardt
Eigenvalue density oscillations in separable microwave resonators. Physical Review E 53 (4), 4166-4175 (1996)

Kai-W. Wirtz and Bruno Eckhardt
Effective variables in eco-system models with an application to phytoplankton succession. Ecological Modelling 92, 33-53 (1996)

Torsten Becker and Bruno Eckhardt
Turbulence in a Maxwell fluid. Zeitschrift für Physik B 101, 461-468 (1996)

1997

Bruno Eckhardt
Spectra of filtered signals. Physics Letters A 229, 44-48 (1997)

Bruno Eckhardt and Bruno Häpper
Semiclassical cross sections. In Harald Friedrich and Bruno Eckhardt (eds.): Classical, Semiclassical and Quantum Dynamics in Atoms, vol. 485 of Springer Lecture Notes in Physics, pp. 63-82. Berlin: Springer, 1997

Bruno Eckhardt
Fluctuations and correlations in matrix elements. Physica D 109, 53-58 (1997)

Bruno Häpper, Bruno Eckhardt and Volker Engel
Semiclassical photodissociation cross section for H2O. Journal of Physics B 30, 3191-3209 (1997)

Heiko de Vries and Bruno Eckhardt
Phase transitions in Scheidegger and Eden networks. Journal of Physics A 30, 6233-6244 (1997)

Bruno Eckhardt
Eigenvalue statistics in quantum ideal gases. In Dennis A. Hejhal, Joel Friedman, Martin C. Gutzwiller, and Andrew M. Odlyzko(eds.): Emerging Applications of Number Theory, pp. 187-199. New York: Springer, 1999

Armin Schmiegel and Bruno Eckhardt
Fractal stability border in plane Couette flow. Physical Review Letters 79 (26), 5250-5253 (1997)

1998

Bruno Eckhardt, Kerstin Marzinzik and Armin Schmiegel
Transition to turbulence in shear flows. In J. Parisi, S. C. Müller, and W. Zimmermann (eds.): A perspective look at nonlinear media, pp. 327-338. Berlin: Springer, 1998

Bruno Häpper and Bruno Eckhardt
Uniform semiclassical expansions for the direct part of Franck-Condon transitions. Physical Review A 57 (3), 1536-1547 (1998)

Eli Pollak and Bruno Eckhardt
Semiclassical canonical rate theory. Physical Review E 58 (5), 5436-5448 (1998)

1999

B. Eckhardt, U. Dörr, U. Kuhl and H.-J. Stöckmann
Correlations of electromagnetic fields in chaotic cavities. Europhysics Letters 46 (2), 134-140 (1999)

Bernhard Mehlig, Kirsten Müller and Bruno Eckhardt
Phase space localization and matrix element distributions in systems with mixed classical phase space. Physical Review E 59 (5), 5272-5277 (1999)

Bruno Häpper and Bruno Eckhardt
Uniform semiclassical calculation of the direct part of the photodissociation cross section of water. Journal of Chemical Physics 110 (24), 11749-11755 (1999)

Bruno Eckhardt and Alois Mersmann
Transition to turbulence in a shear flow. Physical Review E 60 (1), 509-517 (1999)

Bruno Eckhardt and Jörg Schumacher
Structure function of passive scalars in two-dimensional turbulence. Physical Review E 60 (1), 4185-4192 (1999)

Jörg Schumacher and Bruno Eckhardt
Magnetic field correlations in kinematic two-dimensional magnetohydrodynamic turbulence. Physics of Plasmas 6 (9), 3477-3483 (1999)

Imre Varga, Peter Pollner and Bruno Eckhardt
Quantum localization near bifurcations in classically chaotic systems. Annals of Physics (Leipzig) 8 (Special Issue), SI265-SI268 (1999)

2000

Holger Faisst and Bruno Eckhardt
Transition from the Couette-Taylor system to the plane Couette system. Physical Review E 61 (6), 7227-7230 (2000)

Armin Schmiegel and Bruno Eckhardt
Persistent turbulence in annealed plane Couette flow. Europhysics Letters 51 (4), 395-400 (2000)

Holger Faisst, Armin Schmiegel and Bruno Eckhardt
Turbulence transition in shear flows. Taylor-Couette Flow 2004, Barcelona: CIMNE, 2000

Bruno Eckhardt, Imre Varga and Peter Pollner
Classical fluctuations and semiclassical matrix elements. Progress of Theoretical Physics (Japan) Supplement 139, 59-69 (2000)

Wolfgang Braun, Bruno Eckhardt, Hans A. Braun and Martin Huber
Phase-space structure of a thermoreceptor. Physical Review E 62 (5), 6352-6360 (2000)

Bruno Eckhardt, Shmuel Fishman and Imre Varga
Semiclassical cross section correlations. Physical Review E 62 (6), 7867-7871 (2000)

Jörg Schumacher and Bruno Eckhardt
On statistically stationary homogeneous shear turbulence. Europhysics Letters 52 (6), 627-632 (2000)

Bruno Eckhardt, Siegfried Grossmann and Detlef Lohse
Scaling of global momentum transport in Taylor-Couette and pipe flow. European Physical Journal B 18, 541-544 (2000)

2001

Bruno Eckhardt, Imre Varga and Peter Pollner
Correlations and fluctuations of matrix elements and cross sections. Physica E 9, 535-541 (2001)

Peter Pollner and Bruno Eckhardt
Bifurcations and random matrix theory. Europhysics Letters 53 (6), 703-708 (2001)

Jörg Schumacher and Bruno Eckhardt
Evolution of turbulent spots in a parallel shear flow. Physical Review E 63, 046307, 9 pages (2001)

Krzysztof Sacha and Bruno Eckhardt
Pathways to double ionization of atoms in strong fields. Physical Review A 63, 043414, 9 pages (2001)

Bruno Eckhardt and Krzysztof Sacha
Classical analysis of correlated multiple ionization in strong fields. Physica Scripta T90, 185-188 (2001)

Krzysztof Sacha and Bruno Eckhardt
Non-sequential double ionization of atoms in strong fields. In B. Piraux and K. Rzkazewski (eds.): Super-Intense Laser-Atom Physics, pp. 79-83. Kluwer Academic Publishers, 2001

Bruno Eckhardt and Uzy Smilansky
Stroboscopic quantization of autonomous systems. Foundations of Physics 31 (3), 543-556 (2001)

W. I. Goldburg, J. R. Cressman, Z. Vörös, B. Eckhardt and J. Schumacher
Turbulence in a free surface. Physical Review E 63, 065303R, 4 pages (2001)

Bruno Eckhardt and Jörg Schumacher
Turbulence and passive scalar transport in a free-slip surface. Physical Review E 64, 016314, 10 pages (2001)

Matthias Lange and Bruno Eckhardt
Vortex pairs in viscoelastic Couette-Taylor flow. Physical Review E 64, 027301, 4 pages (2001)

Krzysztof Sacha and Bruno Eckhardt
Nonsequential triple ionization in strong fields. Physical Review A 64, 053401, 8 pages (2001)

Bruno Eckhardt and Krzysztof Sacha
Wannier threshold law for two-electron escape in the presence of an external electric field. Europhysics Letters 56 (5), 651-657 (2001)

2002

Bruno Eckhardt, Holger Faisst, Armin Schmiegel and Jörg Schumacher
Turbulence transition in shear flows. In I. P. Castro, P. E. Hanock, and T. G. Thomas (eds.): Advances in Turbulence IX, pp. 701-708. Barcelona: CIMNE, 2002

Bruno Eckhardt, Jochen Kronjäger and Jörg Schumacher
Stretching of polymers in a turbulent environment. Computer Physics Communications 147, 538-543 (2002)

Jörg Schumacher and Bruno Eckhardt
Clustering dynamics of Lagrangian tracers in free-surface flows. Physical Review E 66, 017303, 4 pages (2002)

2003

Bruno Eckhardt
Echoes in classical dynamical systems. Journal of Physics A 36, 371-380 (2003)

Bruno Eckhardt and Holger Faisst
Travelling waves and transition to turbulence in pipe flow. In F. Marques and A. Meseguer (eds.): Nonlinear Dynamics in Fluids, pp. 93-96. Barcelona: CIMNE, 2003

Bruno Eckhardt and Rahul Pandit
Noise correlations in shear flows. European Physical Journal B 33, 373-378 (2003)

Holger Faisst and Bruno Eckhardt
Lifetimes of noisy repellors. Physical Review E 68, 026215, 6 pages (2003)

Krzysztof Sacha and Bruno Eckhardt
Pathways to non-sequential multiple ionization in strong laser fields. Journal of Physics B 36, 3923-3935 (2003)

Charles R. Doering, Bruno Eckhardt and Jörg Schumacher
Energy dissipation in body-forced plane shear flow. Journal of Fluid Mechanics 494, 275-284 (2003)

Bruno Eckhardt, Erwan Hascoet and Wolfgang Braun
Passive fields and particles in chaotic flows. In N. S. Namachchivaya and Y. K. Lin (eds.): Proceedings "IUTAM Symposium on Nonlinear Stochastic Dynamics'', pp. 990-999. Urbana Champaign, 2002

Bruno Eckhardt, Arne Jachens and Jörg Schumacher
Asymmetric time correlations in turbulent shear flows. In A. J. Smits (ed.): Reynolds number scaling in turbulent flow, pp. 253-256. Kluwer Academic Publishers, 2003

Bruno Eckhardt
Predictability in classical and quantum physics. In A. Hüttemann (ed.): Determinism in Physics and Biology, pp. 50-63, Paderborn: Mentis (2003)

Holger Faisst and Bruno Eckhardt
Traveling waves in pipe flow.Physical Review Letters 91 (22), 224502, 4 pages (2003)

2004

Jörg Schumacher and Bruno Eckhardt
Fluctuations of energy injection rate in a shear flow. Physica D 187, 370-376 (2004)

Bruno Eckhardt, Andreas Dietrich, Arne Jachens and Jörg Schumacher
Homogeneous shear turbulence. In M. Kremer D. Wolf, G. Münster (ed.): NIC Symposium 2004, pp. 353-362. Neumann Institute of Computing, Jülich, 2004

Holger Faisst and Bruno Eckhardt
Sensitive dependence on initial conditions in transition to turbulence in pipe flow. Journal of Fluid Mechanics 504, 343-352 (2004)

Wolfgang Braun and Bruno Eckhardt
Statistics of skipping events in a noisy thermoreceptors. Fluctuation and Noise Letters 4, L231-L236 (2004)

Jeff Moehlis, Holger Faisst and Bruno Eckhardt
A low-dimensional model for turbulent shear flows. New Journal of Physics 6, 56 (2004)

Bruno Eckhardt, Andreas Dietrich and Jörg Schumacher
Low-dimensional model for steady and periodically driven shear turbulence. In H. I. Andersson and P.-A. Krogstad (eds.): Advances in Turbulence X, pp. 49-52. 10th European Turbulence Conference in Trondheim, CIMNE, Barcelona, 2004

Björn Hof, Cas W. H. van Doorne, Jerry Westerveel, Frans T.M. Nieuwstad, Holger Faisst, Bruno Eckhardt, Hakan Wedin, Rich R. Kerswell and Fabian Waleffe
Experimental demonstration of travelling waves in pipe flow. Science 305, 1594-1598 (2004)

Guido Boffetta, Jahanshah Davoudi, Bruno Eckhardt and Jörg Schumacher
Lagrangian tracers on a surface flow: the role of of time correlations. Physical Review Letters 93, 134501 (2004)

Siegfried Grossmann, Bruno Eckhardt and Detlef Lohse
Hundert Jahre Grenzschichtphysik. Physik Journal 3 (10), 31-37 (2004)

Jeff Moehlis, Bruno Eckhardt and Holger Faisst
Fractal lifetimes in the transition to turbulence. CHAOS 14, S11 (2004)

Bruno Eckhardt, Arne Jachens and Jörg Schumacher
Asymmetric time correlations in turbulent shear folws, IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow, Princeton, 2002, Kluwer Academic Publishers, 253 (2004)

2005

Arne Jachens, Bruno Eckhardt, Karsten Knobloch and Hans H. Fernholz
Spatial correlations in turbulent shear flows. In S. Barth J. Peinke, A. Kittel and M. Oberlack (eds.): Progress in Turbulence, pp. 143-146. Springer Verlag, Berlin, 2005

Jahanshah Davoudi and Bruno Eckhardt
Symmetries and boundary layer profiles for scalar fields. In S. Barth J. Peinke, A. Kittel and M. Oberlack (eds.): Progress in Turbulence, pp. 43-46. Springer Verlag, Berlin, 2005

Bruno Eckhardt, Siegfried Grossmann and Detlef Lohse
Energy dissipation in rotating flows. In S. Barth J. Peinke, A. Kittel and M. Oberlack (eds.): Progress in Turbulence, pp. 47-50. Springer Verlag, Berlin, 2005
Krzysztof Sacha Jakub S. Prauzner-Bechicicki and Bruno Eckhardt
Non-sequential ionization of molecules in strong laser fields. In Laser Physics, pp. x-x. 2005

Jakub S. Prauzner-Bechicicki, Krzysztof Sacha, Bruno Eckhardt and Jakub Zakrzewski
Nonsequential double ionization of molecules. Physical Review A 71, 033407 (7 pages) (2005)

Jeff Moehlis, Holger Faisst and Bruno Eckhardt
Periodic orbits and chaotic sets in a low-dimensional model for shear flows. SIAM Journal of Applied Dynamical Systems 4, 352-376 (2005)

Bruno Eckhardt and Holger Faisst
Dynamical systems and the transition to turbulence. pp. x-x. Springer Verlag, Berlin, 2005

Bruno Eckhardt
Response to Comment by Basambrio et al. Physical Review E (2005)

Steven H. Strogatz, Daniel Abrams, McRobie, Bruno Eckhardt and Ed Ott
Crowd synchrony on the Millennium bridge, Nature (2005) 

Bruno Eckhardt, Armin Schmiegel, Holger Faisst and Tobias Schneider
Dynamical systems and the transition to turbulence in shear flows. Phil. Trans. R. Soc (London) (2005)

Jörg Schumacher, Herwig Zilken, Bruno Eckhardt and Katepalli R. Sreenivasan
Scalar dissipation fronts in high-Schmidt number mixing (Gallery of Nonlinear Images), Chaos 15, 041105 (2005)

Bruno Eckhardt, Arne Jachens and Jörg Schumacher
Asymmetry of temporal cross-correlations in turbulent shear flows, Turbulence and Shear Flow Phenomena 4, vol. 1, Williamsburg, 2005, 237

2006

Arne Jachens, Jörg Schumacher, Bruno Eckhardt, Karsten Knobloch and Hans-H. Fernholz
Asymmetry of temporal cross-correlations in turbulent shear flows, Journal of Fluid Mechanics 547, 55 (2006)

Charles R. Doering, Bruno Eckhardt and Jörg Schumacher
Stress overshoots and the failure of energy stability in Oldroyd-B fluids at arbitrarily low Reynolds numbers, J. Non-Newtonian Fluid Mech. 135, 92 (2006)

John Bowman, Charles R. Doering, Bruno Eckhardt, Jahanshah Davoudi, Malcolm Roberts and Jörg Schumacher
Links between dissipation, intermittency, and helicity in the GOY model revisited, Physica D 218, 1 (2006)

2007

Bruno Eckhardt, Andreas Dietrich, Tobias Schneider and Jörg Schumacher
Oscillatory relaxation towards turbulent states, iTi Conference in Turbulence, Bad Zwischenahn, 2005, Springer, 31 (2007)

 


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