The ravages of time

and

The blessings of wisdom.

 

        MAILING ADDRESS:

      3620 S. Vermont Ave.

  KAP 104

Los Angeles, California 90089-2532

PHONE: (213) 740-3793

FAX: (213) 740-2424

NEWOFFICE: KAP 438-A

EMAIL: rsacker AT usc DOT edu

My Mathematical Family Tree

Teaching 

Fall 2010 ---------Math425a----- Math 445   

Spring 2011-----Math 445 --------- Math 565a

Fall 2012 ---------Math 570a ---------Math 445

Spring 2013-----Math 565a---------Math 245 

Research


Publications

Read about the Neimark-Sacker bifurcation

Read about the The Sacker-Sell Spectral Theory--A Biographical Sketch

                  Meet the authors

co-Editor : "Short Notes" section of Journal of Difference Equations and Applications

............... Guidelines for submission of Short Notes (Policy Statement)

Professional Societies and Conferences

.....International Society of Difference Equations

.....International Conference on Difference Equations and Applications (ICDEA 2004)___Main Theme: Mathematical Biology. August 2 - 6, 2004

 

EDUCATIONAL BACKGROUND

B. S. Georgia Institute of Technology, 1959

M. S. Georgia Institute of Technology, 1961

Ph.D. New York University -- Courant Institute, 1964

Dissertation: "On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations" (Thesis Advisor: - J. K. Moser)

 

RESEARCH INTERESTS

Ordinary differential equations, difference equations, infinite dimensional dynamical systems, applied mathematics, modeling, genetic modelling, mathematical biology

 

RECOGNIZED SCIENTIFIC ACCOMPLISHMENTS: The following are sited numerous places in the literature: Spectral theory for non-autonomous Dynamical Systems: "Sacker-Sell" spectrum, The Sacker-Sell Spectral Theory--A Biographical Sketch. Bifurcation Theory, "Neimark-Sacker Bifurcation Theorem" (read about it in Yuri Kuznetsov's book or visit the Scholarpedia article). For first complete proof click here. See also "Publications" Nos. 45, 45a and 45b for the 2009 synopsis and re-publication.