Formerly, I was member of the scientific staff of the
Institut für Statik und Dynamik der
Luft- und Raumfahrtkonstruktionen, later of the
Institut für Computeranwendungen and, until recently, of the
Institut für Höchstleistungsrechnen (IHR)
at the University of Stuttgart.

Contact

Dr. Maria Haase
Institut für Höchstleistungsrechnen
Universität Stuttgart
Nobelstraße 19
70569 Stuttgart
haase@ihr.uni-stuttgart.de.

Portrait of Maria Haase

Scientific Interests

Dynamical systems and chaos

My main interest is directed towards nonlinear dynamics, the formation of patterns and structures in open dissipative systems, the transition from regular to chaotic behaviour, as well as their applications in engineering, physics, chemistry, biology and medicine. We develop numerical methods allowing to extract essential information from measurements and observations. The analysis of time series and complex patterns emerging in nonlinear systems enables on the one hand a characterization of signals, and on the other hand it allows to give insight into the dynamics of the underlying processes thus providing a basis for modelling.

Wavelet analysis

Apart from the development of numerical methods to characterize chaos our interest is focussed on wavelet analysis. Wavelet tools deserve special attention in the context of nonlinear dynamics because they allow to investigate functions either locally on various scales or they supply information about the instantaneous frequency content of the signal.

Stochastic analysis

Considering the temporal evolution of complex systems, we are usually confronted with stochastic time series. Often, the underlying equations are either unknown or cannot be solved rigorously. Recently developed stochastic analyses based on the theory of Markovian processes allow in many cases a complete characterization of the measurement data and a modelling by means of stochastic equations.

Publications

Journal Articles

N. Mishra, M. Haase, B. Biswal and H.P.Singh

Reliability of unstable periodic orbit based control strategies in biological systems

Chaos 25, 043104 (2015)

F. Raischel, A. Russo, M. Haase, D. Kleinhans and P.G. Lind

Searching for optimal variables in real multivariate stochastic data

Phys. Lett. A 376, 2081–2089 (2012)

J. Carvalho, F. Raischel, M. Haase and P. G. Lind

Evaluating strong measurement noise in data series with simulated annealing method

Journal of Physics: Conference Series 285 012007 (2011)

V. V. Vasconcelos, F. Raischel, M. Haase, J. Peinke, M. Wächter, P. G. Lind and D. Kleinhans

Principal axes for stochastic dynamics

Phys. Rev. E 84, 031103 (2011)

P. G. Lind, M. Haase, F. Böttcher, J. Peinke, D. Kleinhans and R. Friedrich

Extracting strong measurement noise from stochastic time series: Applications to empirical data

Phys. Rev. E 81, 041125 (2010)

P. G. Lind, A. Mora, M. Haase and J. A. C. Gallas

Minimizing stochasticity in the NAO index

Int. J. Bifurcation Chaos 17, 3461-3466 (2007)

F. Böttcher, J. Peinke, D. Kleinhans, R. Friedrich, P. G. Lind and M. Haase

Reconstruction of Complex Dynamical Systems Affected by Strong Measurement Noise

Phys. Rev. Lett. 97, 090603 (2006)

A. Mora and M. Haase

Quantitative Methods for the Characterization of Complex Surface Structures

Nonlin. Dynamics 44, 307-313 (2006)

A. Mora, M. Haase, Th. Rabbow and P. J. Plath

Discrete model for laser driven etching and microstructuring of metallic surfaces

Phys. Rev. E 72, 061604 (2005)

P. G. Lind, A. Mora, J. A. C. Gallas and M. Haase

Reducing stochasticity in the North Atlantic Oscillation index with coupled Langevin equations

Phys. Rev. E 72, 056706 (2005)

M. Haase and J. Widjajakusuma

Damage identification based on ridges and maxima lines of the wavelet transform

Int. J. Eng. Sci 41, 1423–1443 (2003)

J. Argyris, G. Faust and M. Haase

Routes to Chaos and Turbulence. A Computational Introduction

Phil. Trans. R. Soc. Lond. A 344, 207-234 (1993)

J. Argyris, M. Haase and J. C. Heinrich

Finite element approximation to two-dimensional sine-Gordon solitons

Comp. Meths. Appl. Mech. Eng., Vol. 86, 1-26 (1991)

J. Argyris and M. Haase

An engineer's guide to soliton phenomena: Application of the finite element method

Comp. Meths. Appl. Mech. Eng., Vol. 61, 71–122 (1987)

J. Argyris, M. Haase, H.-P. Mlejnek and P. K. Schmolz

TRUNC for shells—an element possibly to the taste of Bruce Irons

Int. J. Num. Meth. Eng., Vol. 22, 93-115 (1986)

J. Argyris, M. Haase and H.-P. Mlejnek

Some Considerations of the Natural Approach

Comp. Meths. Appl. Mech. Eng., Vol. 30, 335-346 (1982)

J. Argyris, M. Haase and H.-P. Mlejnek

On an unconventional but natural formulation of a stiffness matrix

Comp. Meths. Appl. Mech. Eng., Vol. 22, 1-22 (1980)

J.H. Argyris, H. Balmer, J.St. Doltsinis, P.C. Dunne, M. Haase, M. Kleiber, G.A. Malejannakis,

H.-P. Mlejnek, M. Müller and D.W. Scharpf

Finite element method — the natural approach

Comp. Meths. Appl. Mech. Eng., Vol. 17–18, Part 1, 1-106 (1979)

J.H. Argyris, P.C. Dunne, M. Haase and J. Orkisz

Higher-order simplex elements for large strain analysis — natural approach

Comp. Meths. Appl. Mech. Eng., Vol. 16, 369–403 (1978)

J.H. Argyris, M. Haase and G. A. Malejannakis

Higher-order simplex elements for large strain analysis — natural approach

Comp. Meths. Appl. Mech. Eng., Vol. 16, 369–403 (1978)

Proceedings

A. Mora, M. Haase, T. Rabbow, P. J. Plath and H. Parisch

Modelling Pattern Formation upon Laser-Induced Etching

In: Complexus Mundi - Emergent Patterns in Nature,

Ed. M. M. Novak, World Scientific, New Jersey, 181-190 (2006)

A. Mora, T. Rabbow, B. Lehle, P. J. Plath and M. Haase

A simple discrete stochastic model for laser-induced chemical etching

In: Fractals in Engineering, New Trends in Theory and Applications,

Eds. J. Lévy-Véhel and E. Lutton, Springer, London, 125-139 (2005)

A. Mora, C. Gerlach, T. Rabbow, P. J. Plath and M. Haase

Wavelet analysis of electropolished surfaces

In: Nonlinear Dynamics of Production Systems,

Eds. G. Radons and R. Neugebauer, Wiley-VCH, Weinheim, 575-592 (2004)

M. Haase, A. Mora and B. Lehle

Multifractal and stochastic analysis of electropolished surfaces

In: Thinking in Patterns, Fractals and Related Phenomena in Nature,

Ed. M. M. Novak, World Scientific, Singapore, 69-78 (2004)

M. Haase, J.Widjajakusuma and R. Bader

Scaling laws and frequency decomposition from

wavelet transform maxima lines and ridges

In: Emergent Nature: Patterns, Growth and Scaling in the Sciences,

Ed. M. M. Novak, World Scientific, Singapore, 365-374 (2002)

M. Haase

An exploration of self-similar structures with wavelets

In: Proc. of the International Workshop on Similarity Methods,

ISD, Universität Stuttgart, 183-192 (2000)

M. Haase

A family of complex wavelets for characterization of singularities

In: Paradigms of Complexity: Fractals and Structures in the Sciences,

Ed. M. M. Novak, World Scientific, Singapore, 287-288 (2000)

M. Haase and Bernd Lehle

Tracing the skeleton of wavelet transform maxima lines for the characterization

of fractal distributions

In: Fractals and Beyond: Complexities in the Sciences in the Sciences,

Ed. M. M. Novak, World Scientific, Singapore, 241-250 (1998)

M. Haase

Werkzeuge der Chaosforschung

In: Chaos in der Wissenschaft, Ed. P. Onori, Verlag des Kantons Basel, 1-16 (1997)

M. Haase

Extracting singularities in turbulent flow with real and complex wavelets

In: Science and Art Symposium 2000

Eds. A. Gyr, P. D. Koumoutsakos, U. Burr,

Kluwer Academic Publishers, Dortrecht, The Netherlands , 111-116 (2000)

J. Argyris, H. Balmer, J. Bühlmeier, M. Haase, H.-P. Mlejnek and P. K. Schmolz

The Natural Method: Simple and Elegant

In: Buckling of Shells, Ed. E. Ramm, Stuttgart, 57-89 (1982)

J.H. Argyris, M. Haase and G. A. Malejannakis

Natural geometry of surfaces with specific reference to the matrix displacement

analysis of shells. I, II and III

Proc. Konk. Ned. Akad. Wet., Ser. B, Vol.76, 361-410 (1973)

Books - PhD

J.H. Argyris, G. Faust, M. Haase and R. Friedrich

An Exploration of Dynamical Systems and Chaos

Springer, Berlin Heidelberg (2015)

J.H. Argyris, G. Faust, M. Haase and R. Friedrich

Die Erforschung des Chaos

Springer, Berlin Heidelberg (2010)

J.H. Argyris, G. Faust and M. Haase

Die Erforschung des Chaos. Eine Einführung für Naturwissenschaftler und Ingenieure

Vieweg, Braunschweig (1994)

J.H. Argyris, G. Faust and M. Haase

An Exploration of Dynamical Systems and Chaos. An Introduction for Natural Scientists and Engineers

Springer, Berlin Heidelberg (2015)

Texts on Computational Mechanics, Vol VII, Ed. J.Argyris, F.R.S.

North Holland, Amsterdam (1994)

M. Haase

Zur natürlichen Formulierung von Simplexelementen höherer Ordnung für die Berechnung

elastischer Membranschalen und Seilkonstruktionen unter großen Verformungen

PhD thesis, Universität Stuttgart (1979)