Robert Sacker Professor of Mathematics Contact Information E-mail: rsacker@math.usc.edu Phone: (213) 740-3793 Office: KAP 120-B LINKS Faculty Profile on Departmental Website Personal Website Course Information

Academic Appointment, Affiliation, and Employment History

• Professor, University of Southern California, 01/01/1977-  
• Associate Professor, University of Southern California, 01/01/1973-01/01/1977  
• Visiting Associate Professor, University of Minnesota, 01/01/1972-01/01/1973  
• Associate Professor, University of Southern California, 01/01/1969-01/01/1972  
• Assistant Professor, University of Southern California, 01/01/1966-01/01/1969  
• Visiting Member, Courant Institute of Mathematical Sciences, New York University, 01/01/1964-01/01/1969  
• Adjunct Assistant Professor, Washington Square College, New York University, 01/01/1964-01/01/1966  

Description of Research

Summary Statement of Research Interests

Research Specialties

Affiliations with Research Centers, Labs, and Other Institutions

• USC Center for Applied Mathematical Sciences,http://www.usc.edu/dept/LAS/CAMS/

Publications

Journal Article

• Sacker, R. J. (2008). Semigroups of Maps and Periodic Difference Equations. Journal of Difference Equations and Applications.
• Sacker, R. J. (2008). Introduction to the 2008 Re-Publication of the ``Neimark-Sacker Bifurcation Theorem. Journal of Difference Equations and Applications. pp. 6.
• Sacker, R. J., Von Bremen, H. F. (2007). Dynamic Reduction with applications to Mathematical Biology and other areas. Journal of Biological Dynamics / Taylor & Francis. Vol. 1 (4), pp. 1-17.
• Sacker, R. J. (2007). A Note on Periodic Ricker Maps. Journal of Difference Equations and Applications/Taylor and Francis. Vol. 13 (1), pp. 89-92.
• Elaydi, S., Sacker, R. J. (2006). Periodic difference equations, population biology and the Cushing-Henson conjectures. Mathematical Biosciences/Elsevier. Vol. V. 201, pp. 195-207.
• Haskell, C., Sacker, R. J. (2005). The Stochastic Beverton-Holt Equation and the M. Neubert Conjecture. Journal of Dynamics and Differential Equations/Elsevier. Vol. V. 17 (No. 4), pp. pp. 825-842.
• Elaydi, S., Sacker, R. J. (2005). Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures. Journal of Difference Equations and Applications/Taylor & Francis. Vol. Vol. 11 (4 & 5), pp. p. 337-346.
• Elaydi, S., Sacker, R. J. (2005). Global stability of periodic orbits of nonautonomous difference equations and population biology. Journal of Differential Equations/Elsevier. Vol. 208 (1), pp. p. 258 - 273.
• Elaydi, S., Sacker, R. J. (2004). Basin of attraction of periodic orbits of maps on the real line. Journal of Difference Equations and Applications/Taylor & Francis. Vol. Vol. 10 (10), pp. p. 881-888.
• Sacker, R. J., Von Bremen, H. F. (2003). "A new approach to cycling in a 2-locus 2-allele genetic model". J. Difference Equations and Applications, Taylor & Francis. Vol. 9 (5), pp. 441-448.
• Sacker, R. J., Bodine, S. (2001). Asymptotic diagonalization of linear difference equations, with Sigrun Bodine. Journal of Difference Equations and Applications. Vol. 7, pp. 637-650.
• Sacker, R. J., Bodine, S. (2000). A new approach to asymptotic diagonalization of linear differential systyems,. J. Dynamics and Differential Equations, Elsevier. Vol. 12 (1), pp. 229-245.

Other

• Sacker, R. J. Dichotomies for Linear Evolutionary Equations in Banach Space, Joint with G. Sell, J. Differential Eq. 113 pp. 17-67, 1994.

Proceedings

• Elaydi, S., Sacker, R. J. (2005). Skew-product dynamical systems: Applications to difference equations. Proceedings of the Second Annual Celebration of Mathematics, United Arab Emirates/Taylor & Francis.
• Sacker, R. J., von Bremen, H. F. (2005). Global asymptotic stability in the Jia Li model for genetically altered mosquitos. pp. p. 87-100. Difference Equations and Discrete Dynamical Systems/Taylor & Francis.
• Sacker, R. J., von Bremen, H. F. (2005). Some Stability Results in a Model for Genetically Altered Mosquitoes. pp. p. 301+308. Some Stability Results in a Model for Genetically Altered Mosquitoes/Shaker Verlag.
• Elaydi, S., Sacker, R. J. (2005). Global stability of periodic orbits of nonautonomous difference equations in population biology and the Cushing-Henson conjectures. pp. p.113-126. Proceedings of 8th International Conference on Difference Equations and Applications Brno, Czech Republic/Chapman and Hall.

Multimedia Scholarship and Creative Works

• Sholarpedia Web Page/ http://www.scholarpedia.org/, Describes the Neimark-Sacker bifurcation Authors: Yuri A. Kuznetsov and Robert J. Sacker URL: http://www.scholarpedia.org/article/Neimark-Sacker_bifurcation, 2007-2008   

Service to the Profession

Editorships and Editorial Boards

• Co-Editor, Journal of Difference Equations and Applications -- Short Notes Section, 2003-  

Professional Offices

• Director, International Society of Difference Equations, 2007-2008   

Professional Memberships

• International Society of Difference Equations, 2007-2008   
• Chairman: Organizing committee, 9th International Conference on Difference Equations and Applications, http://math.usc.edu/~rsacker/icdea2004, 2003  
• Society of Mathematical Biology, 2002