Biography

• Maitrise de Mathematiques (Universite de Paris-Sud, France) 1996
• Diplom in Mathematics (University of Hamburg, Germany) 1997
• Diplom in Composition (Conservatory of Music, Hamburg, Germany) 1998
• Ph. D. in Mathematics (TU München, Germany) 2000
• Postdoctoral Lecturing Qualification (Habilitation) in Mathematics (TU München, Germany) 2005
• Assistant Lecturer (Wissenschaftlicher Mitarbeiter), TU München, Germany 1997-2000
• Assistant Professor (Wissenschaftlicher Assistent), TU München, Germany 2000-2007
• Substitute Professor, University of Augsburg, Germany 2005-2006
• Lecturer, University of Sussex 2007-2012
• Senior Lecturer, University of Sussex 2012-

Personal webpage

Role

Chair of Mathematics Teaching and Learning Committee

• Dynamical Systems
• Ordinary Differential Equations
• Biomechanics of the muscle-skeletal system
• Numerical Analysis, in particular Radial Basis Function

Research interests including possible PhD projects

List of Publications

Analysis 1 (G5085) in T2 (1st year)

Differential Equations (G5097) in T2 (2nd year)

Student Consultation

Office hours (T2):

• Monday, 10-11
• Tuesday, 10-11

Giesl, Peter and Hafstein, Sigurdur (2012) Existence of piecewise linear Lyapunov functions in arbitrary dimensions. Discrete and Continuous Dynamical Systems - Series A, 32 (10). pp. 3539-3565. ISSN 1078-0947

Giesl, Peter and Wendland, Holger (2012) Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems. Nonlinear Analysis: Theory, Methods and Applications, 75 (5). pp. 2823-2840. ISSN 0362-546X

Giesl, Peter (2011) Towards calculating the basin of attraction of non-smooth dynamical systems using radial basis functions. In: Approximation Algorithms for Complex Systems. Springer Proceedings in Mathematics, 3 . Springer-Verlag, pp. 205-225. ISBN 9783642168758

Giesl, Peter, Ernst, Michael and Wagner, Heiko (2010) Einzugsbereiche eines menschlichen Armmodells: Eine Analyse basierend auf Lyapunovfunktionen. In: Beiträge zur Bewegungswissenschaft Band 1. Verlag Dr. Kovac, Hamburg, pp. 97-134. ISBN 9783830046509

Giesl, Peter and Wendland, Holger (2009) Approximating the basin of attraction of time-periodic ODEs by meshless collocation. Discrete and Continuous Dynamical Systems - Series A, 25 (4). pp. 1249-1274. ISSN 1078-0947

Giesl, Peter (2009) On the determination of the basin of attraction of periodic orbits in three- and higher-dimensional systems. Journal of Mathematical Analysis and Applications, 354 (2). pp. 606-618. ISSN 0022-247X

Giesl, Peter and Rasmussen, Martin (2008) Borg's criterion for almost periodic differential equations. Nonlinear Analysis: Theory, Methods and Applications, 69 (11). pp. 3722-3733. ISSN 0362-546X

Giesl, Peter (2008) Construction of a local and global Lyapunov function using radial basis functions. IMA Journal of Applied Mathematics, 73 (5). pp. 782-802. ISSN 0272-4960

Giesl, Peter (2007) On the determination of the basin of attraction of a periodic orbit in two-dimensional systems. Journal of Mathematical Analysis and Applications, 335 (1). pp. 461-479. ISSN 0022-247X

Giesl, Peter and Wendland, Holger (2007) Meshless Collocation: Error estimates with application to dynamical systems. SIAM Journal on Numerical Analysis, 45 (4). pp. 1723-1741. ISSN 1095-7170

Giesl, Peter (2007) Necessary condition for the basin of attraction of a periodic orbit in non-smooth periodic systems. Discrete and Continuous Dynamical Systems - Series A, 18 (2-3). pp. 355-373. ISSN 1078-0947

Giesl, Peter (2007) Construction of global Lyapunov functions using radial basis functions. Lecture Notes in Mathematics, 1904 (190). Springer, Berlin and Heidelberg. ISBN 9783540699071

Giesl, Peter and Wagner, Heiko (2007) Lyapunov functions and the basin of attraction for a single-joint muscle-skeletal model. Journal of Mathematical Biology, 54 (4). pp. 453-464. ISSN 0303-6812

Giesl, Peter (2007) Construction of a global Lyapunov function using radial basis functions with a single operator. Discrete and Continuous Dynamical Systems - Series B, 7 (1). pp. 101-124. ISSN 1531-3492

Wagner, Heiko, Giesl, Peter and Blickhan, Reinhard (2007) Musculoskeletal Stabilization of the Elbow - Complex or Real. Journal of Mechanics in Medicine and Biology, 7 (3). pp. 275-296. ISSN 0219-5194

Giesl, Peter (2007) On the determination of the basin of attraction of discrete dynamical systems. Journal of Difference Equations and Applications, 13 (6). pp. 523-546. ISSN 1023-6198

Giesl, P (2005) The basin of attraction of periodic orbits in nonsmooth differential equations. Zeitschrift fur Angwandte Mathematik und Mechanik, 85 (2). pp. 89-104. ISSN 0044-2267

Giesl, Peter, Meisel, Dorothea, Scheurle, Jürgen and Wagner, Heiko (2004) Stability analysis of the elbow with a load. Journal of Theoretical Biology, 228 (1). pp. 115-125. ISSN 0022-5193

Giesl, Peter (2004) Necessary conditions for a limit cycle and its basin of attraction. Nonlinear Analysis: Theory, Methods and Applications, 56 (5). pp. 643-677. ISSN 0362-546X

Giesl, Peter (2004) On the basin of attraction of limit cycles in periodic differential equations. Zeitschrift fur Analysis und ihre Anwendungen, 23 (3). pp. 547-576. ISSN 0232-2064