Robert SackerProfessor of MathematicsContact Information Email: rsacker@usc.edu Phone: (213) 7403793 Office: KAP 438A LINKS Faculty Profile on Departmental Website Personal Website Course Information 
Biographical Sketch 

Link  
Education 

Ph.D. Mathematics, New York University, Courant Institute, 1/1964  
M.S. Mathematics, Georgia Institute of Technology, 1/1961  
B.S. Mathematics, Georgia Institute of Technology, 1/1959  
Academic Appointment, Affiliation, and Employment History 

Professor, University of Southern California, 01/01/1977  
Associate Professor, University of Southern California, 01/01/197301/01/1977  
Visiting Associate Professor, University of Minnesota, 01/01/197201/01/1973  
Associate Professor, University of Southern California, 01/01/196901/01/1972  
Assistant Professor, University of Southern California, 01/01/196601/01/1969  
Visiting Member, Courant Institute of Mathematical Sciences, New York University, 01/01/196401/01/1969  
Adjunct Assistant Professor, Washington Square College, New York University, 01/01/196401/01/1966  
Description of Research 

Summary Statement of Research Interests 

Professor Sacker's reserach interests include: ordinary differential equations, difference equations, infinite dimensional dynamical systems, applied mathematics, mathematical biology including modelling ecoli evolution in a test tube..  
Research Specialties 

Dynamical Systems, Mathematical Biology  
Affiliations with Research Centers, Labs, and Other Institutions 

USC Center for Applied Mathematical Sciences, http://www.usc.edu/dept/LAS/CAMS/  
Conferences and Other Presentations 

Conference Presentations 

"Phase as determined by Correlation is not sufficient for Resonance versus Attenuation in the BevertonHolt model", International Conference on Difference Equations and Applications, Talk/Oral Presentation, Barcelona, Spain, Local Organizer, Invited, 20122013  
"Some New Results in Periodic Difference Equations with Allee Effect: The Undereappreciated Role of Semigroups", 3rd International Conference On Math Modeling & Analysis, Talk/Oral Presentation, San Antonio, Texas, Invited, 20112012  
"An Invariance Theorem for Mappings", AMS Special Session on Continuous and Discrete Dynamical Systems, Talk/Oral Presentation, UCLA, American Mathematical Society, Invited, 20102011  
"On a MigrationSelection Model", Combined AMS, MAA, SIAM annual meeting, Talk/Oral Presentation, New Orleans, Louisiana, American Mathematical Society, SIAM, MAA, Invited, 20102011  
"Global stability in a multispecies periodic LeslieGower model", The 2nd Internat. Conf. on Mathematical Modeling and Analysis of Populations in Biological Systems, Talk/Oral Presentation, Huntsville, Alabama, Organizer, Invited, 20092010  
"Dynamic Reduction, the Periodic Ricker map and Genetically Altered Mosquitos", Conference on Progress in Difference Equations, Talk/Oral Presentation, Refereed Laufen, Bavaria, Germany, Organizer, Invited, 20062007  
"Population Models with Allee effect", 12th International Conference on Difference Equations and Applications, Talk/Oral Presentation, Refereed Lisbon, Portugal, Organizer, Invited, 20062007  
"The periodically forced Giesl, Meisel, Scheurle, Wagner model, or "Drinking Beer in a Rocking Chair" ", Workshop on Mathematical Stability Analysis in Biomechanics and Robotics, Talk/Oral Presentation, Bielefeld, Germany, Organizer, Invited, 20062007  
"Dynamic Reduction and the Modified Ricker map:\\ From Genetically Altered Mosquitos to Ecoli Growth and Mutation", 11th International Conference on Difference Equations and Applications, Talk/Oral Presentation, Kyoto, Organizer, Invited, 20052006  
"The Stochastic BevertonHolt Equation", 10th International Conference on Difference Equations and Applications, Talk/Oral Presentation, Munich, Germany, International Society of Difference Equations , Invited, 20042005  
Other Presentations 

"Global stability in a multispecies periodic LeslieGower model", Colloquium, U. of Louisiana, Lafayette, Lafayette, Louisiana, 20102011  
"Semigroups of Maps and Periodic Difference Equation", AMS Special Session on Discrete Dynamical Systems in Periodic Environments, American Math. Society, Washington DC, 20082009  
"Dynamic Reduction with Applications to Discrete Systems", Sectional Meeting, AMS, Claremont McKenna, 20072008  
"Dynamic Reduction, the Periodic Ricker map and Genetically Altered Mosquitos", Colloquium, Univ. of Houston, Houston, Texas, 20072008  
"Population Models with Allee effect ", Colloquium, Trinity Univeresity, San Antonio, TX, 20072008  
"Population Models with Allee effect ", Conference on Biology and Dynamics, University of Arizona, Tucson, AZ, 20072008  
"Semigroups of Maps and Periodic Difference Equations", Colloquium, Claremont McKenna Graduate School, Claremont, CA, 20072008  
"Dynamic Reduction and the Modified Ricker map:\\ From Genetically Altered Mosquitos to Ecoli Growth and Mutation", Seminar, USC, Los Angeles, CA, 20062007  
"Dynamic Reduction with applications to Mathematical Biology and other areas", Colloquium,, University of Houston, Texas, 20062007  
"The Stochastic BevertonHolt Equation", Colloquium,, U. of Minnesota, Minneapolis, MN, 20042005  
"The Stochastic BevertonHolt Equation ", Colloquium, Trinity University, San Antonio, TX, 20042005  
Publications 

Book Review 

Pötzsche, C. (2014). Geometric Theory of Discrete Nonautonomous Dynamical Systems. Springer. pp. 506510.  
Journal Article 

Ackleh, A. S., Sacker, R. J., Salceanu, P. (2014). On a Discrete SelectionMutation Model. Journal of Difference Equations and Applications/Taylor & Francis. Vol. DOI, pp. 18. http://www.tandfonline.com/doi/full/10.1080/10236198.2014.933819#tabModule  
Yang, Y., Sacker, R. J. (2014). Periodic Unimodal Allee Maps, the Semigroup Property and the LambdaRicker Map with Allee Effect. Discrete and Continuous Dynamical SystemsB/American Institute of Mathematical Sciences. Vol. 19 (2), pp. 589606. http://AIMSciences.org  
Yang, Y., Sacker, R. J. (2013). Resonance and Attenuation in the nperiodic BevertonHolt Equation. Journal of Difference Equations and Applications/Taylor and Francis. Vol. 19 (89), pp. 11741191.  
Sacker, R. J. (2012). A Note: An Invariance Theorem for Mappings II. Journal of Dynamics and Differential Equations/Springer. Vol. 24 (3), pp. 595599.  
Gaut, G. R., Goldring, K., Grogan, F., Haskell, C., Sacker, R. J. (2012). Diference Equations with Allee Effect and The Periodic Sigmoid BevertonHolt Equation Revisited. Journal of Biological Dynamics/Taylor & Francis. Vol. 6 (2), pp. 10191033.  
Sacker, R. J. (2011). Global stability in a multispecies periodic LeslieGower model. Journal of Biological Dynamics/ Taylor & Francis. Journal of Biological Dynamics  
Sacker, R. J. (2010). A note: an invariance theorem for mappings. Journal of Difference Equations and Applications.  
Sacker, R. J., Von Bremen, H. F. (2010). A Conjecture on the Stability of the Periodic Solutions of Ricker's Equation With Periodic Parameters.  
Sacker, R. J., Elaydi, S. (2010). Population Models with Allee effect: A New Model. Journal of Biological Dynamics/ Taylor & Francis. Vol. 4 (4), pp. 397408.  
Sacker, R. J. (2010). Semigroups of Maps and Periodic Difference Equations. Journal of Difference Equations and Applications.  
Sacker, R. J. (2009). Introduction to the 2008 RePublication of the ``NeimarkSacker 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. 117.  
Sacker, R. J. (2007). A Note on Periodic Ricker Maps. Journal of Difference Equations and Applications/Taylor and Francis. Vol. 13 (1), pp. 8992.  
Elaydi, S., Sacker, R. J. (2006). Periodic difference equations, population biology and the CushingHenson conjectures. Mathematical Biosciences/Elsevier. Vol. V. 201, pp. 195207.  
Haskell, C., Sacker, R. J. (2005). The Stochastic BevertonHolt Equation and the M. Neubert Conjecture. Journal of Dynamics and Differential Equations/Elsevier. Vol. V. 17 (No. 4), pp. pp. 825842.  
Elaydi, S., Sacker, R. J. (2005). Nonautonomous BevertonHolt equations and the CushingHenson conjectures. Journal of Difference Equations and Applications/Taylor & Francis. Vol. Vol. 11 (4 & 5), pp. p. 337346.  
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. 881888.  
Sacker, R. J., Von Bremen, H. F. (2003). "A new approach to cycling in a 2locus 2allele genetic model". J. Difference Equations and Applications, Taylor & Francis. Vol. 9 (5), pp. 441448.  
Sacker, R. J., Bodine, S. (2001). Asymptotic diagonalization of linear difference equations, with Sigrun Bodine. Journal of Difference Equations and Applications. Vol. 7, pp. 637650.  
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. 229245.  
Other 

Sacker, R. J. Dichotomies for Linear Evolutionary Equations in Banach Space, Joint with G. Sell, J. Differential Eq. 113 pp. 1767, 1994.  
Proceedings 

Elaydi, S., Sacker, R. J. (2005). Skewproduct 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. 87100. 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. Shaker Verlag.  
Elaydi, S., Sacker, R. J. (2005). Global stability of periodic orbits of nonautonomous difference equations in population biology and the CushingHenson conjectures. pp. p.113126. 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 NeimarkSacker bifurcation Authors: Yuri A. Kuznetsov and Robert J. Sacker URL: http://www.scholarpedia.org/article/NeimarkSacker_bifurcation, 20072008  
Honors and Awards 

Nominated for the Bernd Aulbach Prize for significant contributions to the areas of difference equations and/or discrete dynamical systems, 20122013  
Special Journal issue dedicated to R J Sacker, 20092010  
Service to the Profession 

Editorships and Editorial Boards 

CoEditor, Journal of Difference Equations and Applications  Short Notes Section, 2003  
Professional Memberships 

Chairman: Organizing committee, 9th International Conference on Difference Equations and Applications, http://math.usc.edu/~rsacker/icdea2004, 2003  
Faculty may update their profile by visiting https://mydornsife.usc.edu. 