# Jürgen Scheurle

**Prof. Dr. rer. nat. habil**

TUM Department of Mathematics

Former professor for higher mathematics and analytical mechanics

born September 26, 1951

https://www-m8.ma.tum.de/bin/view/Allgemeines/JuergenScheurle

# Scientific work

Jürgen Scheurle is an internationally acknowledged scientist in the field of mathematical theory of dynamic systems and their applications. He’s researching in this field with the aim of modeling, analysis, control and optimization of complex evolutionary processes. Even simple, non-linear dynamic systems can generate evolutionary processes of enormous complexity. Jürgen Scheurle played a major role in the development of general mathematical concepts and methods for the efficient and reliable clarification of fundamental questions regarding the behavior and control of dynamic systems. This requires the characterization of properties of the expected temporal and spatial behavior patterns as well as the provision of easily verifiable criteria that guarantee the occurrence of corresponding behavior patterns in concrete cases. In addition, procedures for the systematic simplification of the mathematical representation of given dynamic system (reduction methods) play an important role in his research. The resulting theory is also a basis for the numerical treatment of dynamic systems.

Special topics of the theory of dynamic systems, on which Jürgen Scheurle achieved highly respected deep-seated results, include questions of long-term behavior (stability-problems) as well as the occurrence of instabilities and bifurcations (in the sense of qualitatively changing behavior patterns with variation of system parameters) up to chaotic behavior (chaos). His main interest in applications is the study of systems from different fields of natural and engineering sciences, especially from classical mechanics including celestial mechanics (motion of rigid bodies) as well as from continuum mechanics (flow of liquids, deformation of solids). His main focus is on models given mathematically by ordinary or partial differential equations. Through his groundbreaking research work, he has considerably expanded the understanding of their solution behavior and opened up new possibilities for predicting and controlling the course of real evolutionary processes based on models.

Early in his academic career, interdisciplinary scientific exchange was an important concern for him. During his time as first managing director of the Centre for Mathematics and then as dean of the Faculty of Mathematics at the TUM, he advocated the consequent sharpening of an applied profile of his faculty in research and teaching as well as the role of mathematics as a cross-sectional subject at the TUM.

# Short biography

1970 – 1974 | Study of Mathematics, Computer Science and Physics, University of Stuttgart |

1975 | Doctorate with the dissertation "Ein selektives Iterationsverfahren und Verzweigungsprobleme" (A selective iteration procedure and branching problems), University of Stuttgart |

1974 – 1977 | Research Assistant, University of Stuttgart |

1977 – 1978 | Scientific Assistant at the Mathematical Institute A, University of Stuttgart |

1978 – 1985 | Academic Council at the Mathematical Institute A, University of Stuttgart |

1981 | Habilitation in mathematics with a habilitation thesis "Branching of quasiperiodic solutions in reversible dynamic systems", University of Stuttgart |

1981 – 1985 | Associate Professor at the faculty of Mathematis and Computer Science, University of Stuttgart |

1982 – 1983 | DFG Research Fellowship |

1985 – 1987 | Associate Professore, Department of Mathematics, Colorado State University (USA) |

1987 | Full Professor, Department of Mathematics, Colorado State University (USA) |

1987 – 1996 | Full Professor of Theory and Applications of Partial Differential Equations, Department of Mathematics, University Hamburg |

1988 – 1990 | Managing Director of the Institute for Applied Mathematics, University Hamburg |

1996 – 2017 | Full Professor of Advanced Mathematics and Analytical Mechanics, Member of the Collegial Management of the Centre for Mathematics (1997-2000 Founding Director and Managing Director, 2000-2013 Deputy Managing Director), TU Munich |

2000 – 2003 | Dean of the Faculty of Mathematics and Member of the Extended University Management, TU Munich. |

# Memberships and honors

Member of the American Mathematical Society (AMS)

Member of the European Mechanics Society (EUROMECH)

Member of the Society for Applied Mathematics and Mechanics (GAMM)

Member of the German Mathematics Association (DMV)

Memver of the Mathematical Society Hamburg

Member of the Society for Industrial and Applied Mathematics (SIAM)

Member of the Society for the Interaction of Mathematics and Mechanics (ISIMM)

Co-Editor of various trade journals (since 1987) and the book series "Dynamics Reported"

Speaker at the Swiss Academic Foundation Academy, Breiten, 1992

Keynote speech at the 1996 GAMM annual conference in Prague (Czech Republic)

Member of the founding board and since 2011 first chairman of the Hurwitz-Society for promotion of Mathematics at the TU Munich

# Scientific projects

**EEC:**

Member of the Research Training Network RTN1-1999-00409 "Bifurcation Theory and Applications", 1991- 1994

**EU:**

Member of Human Potential Research Network HPRN-CT-2000-00113 "Mechanics and Symmetry in Europe: The Geometry and Dynamics of deformable Systems (MASIE)", 2000-2005

**DFG:**

Sponsor of the Research Training Group "Applied Algorithmic Mathematics (GKAAM)", 1998-2009

Project manager in the priority program "Ergodic Theory, Analysis and Efficient Simulation of Dynamical Systems (DANSE)", 1994-2000

Project manager in the Collaborative Research Centre SFB 438 "Mathematical Modelling, Simulation and Verification in Material Oriented Processes and Intelligent Systems", 2000-2006

Principal Investigator in the Cluster of Excellence "Cognition for Technical Systems (CoTeSys)", 2006-2001

Principal Investigator in the Collaborative Research Centre Transregio SFB/TRR 109 "Discretization in Geometry and Dynamics (DGD)", 2012-2016

**Förderverein Antriebstechnik e.V. (Association for the Promotion of Drive Technology) (FVA):**

Cooperation projects with Prof. Dr. -Ing. Bernd-Robert Höhn (TUM, FZG) on "Generation and optimization of general geometries for gear flanks", 2009-2015

# Visiting professorships

Department of Mathematics, University of California, Berkeley (USA), 1982, 1991, 1994, 1995

Lefschetz Center for Dynamical Systems, Brown University, Providence (USA), 1983

Fields Institute for Research in Mathematical Sciences, University of Waterloo (Canada), 1993

Département de Mathématiques, Université de Paris-Sud, Orsay (France), 1993

Bernoulli Center, EPF Lausanne (Switzerland), 2004

Mathematical Research Institute of Oberwolfach, 1998, 2012, 2017

# Awards

Prize of the Association of Friends of the University of Stuttgart for outstanding scientific achievements (1975)

You can download "Explanations of honors and awards" here [PDF]

# Key publications

On the bounded solutions of a semilinear elliptic equation in a strip (mit K. Kirchgässner). J. Diff. Equat. 32 (1) (1979), 119 - 148.

Quasiperiodic solutions of a semilinear equation in a two-dimensional strip. In Dynamical Problems in Mathematical Physics, Band 26; B. Brosowski und E. Martensen, eds., Peter D. Lang-Verlag, Frankfurt a. M. 1983, 201 - 223.

Smoothness of bounded solutions of non-linear evolution equations (mit J. Hale). J. Diff. Equat. 56 (1) (1985), 142 - 163.

Chaotic solutions of systems with almost periodic forcing. ZAMP 37 (1986), 12 - 26.

Bifurcation of quasiperiodic solutions from equilibrium points of reversible systems. Arch. Rat. Mech. Anal. 97 (2) (1987), 104 - 139.

The construction and smoothness of invariant manifolds by the deformation method (mit J. Marsden). SIAM J. Math. Anal. 18 (5) (1987), 1261 - 1274.

Exponentially small splittings of separatrices in KAM theory and degenerate bifurcations (mit P. Holmes und J. Marsden). Cont. Math. 81 (1988), 213 - 243.

Existence of perturbed solitary wave solutions to a model equation for water waves (mit J. Hunter). Physica D 32 (1988), 253 - 268.

Lagrangian reduction and bifurcations of relative equilibria of the double spherical pendulum (mit J. Marsden). ZAMP 44 (1993), 17 - 43.

The reduced Euler - Lagrange equations (mit J. Marsden). Fields Inst. Comm. 1 (1993), 139 - 164.

Invariant Cj functions and center manifold reduction (mit M. Rumberger). In Nonlinear Dynamical Systems and Chaos, PNLDE Vol. 19; H.W. Broer, S.A. van Gils, I. Hoveijn and F. Takens, eds., Birkhhäuser-Verlag, Basel 1995, 145 - 153.

Some aspects of successive bifurcations in the Couette - Taylor problem. In Pattern Formation: Symmetry Methods and Applications; J. Chadam, M. Golubitsky, W.F. Langford, und B. Wetton, eds., Fields Inst. Comm. 5 (1996), 335 - 345.

Discretization of homoclinic orbits and "invisible" chaos (mit B. Fiedler). Memoirs of the AMS vol. 119, nb. 570 (3), Providence 1996.

Reduction theory and the Lagrange-Routh equations (mit J. Marsden und T. Ratiu). J. Math. Phys. 41(6) (2000), 3379 - 3429.

The orbit space method (mit M. Rumberger). In Ergodic Theory, Analysis and Efficient Simulation of Dynamical Systems, B. Fiedler edt., Springer-Verlag 2001, 649 - 689.

On the generation of conjugate flanks for arbitrary gear geometries (mit A. Johann). GAMM-Mitt. 32, No. 1, 2009, 61 - 79.

Invariant sets forced by symmetry (mit F.D. Grosshans und S. Walcher). J. Geometric Mechanics 4(3) (2012), 271 – 296.

On the discretization of nonholonomic Dynamics in Rn (mit F. Jimenez). J. Geometric Mechanics 7(1) (2015), 43 - 80.

Gewöhnliche Differentialgleichungen: Eine Symbiose von klassischer und qualitativer Theorie. Lehrbuchreihe „Mathematik Kompakt“, Birkhäuser-Verlag 2017.