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

**OFFICE:** KAP 438-A

**EMAIL:**
rsacker AT usc DOT edu

My Mathematical Family
Tree

## Teaching** **

**Math** 465

**Spring 2015****----****- ****Math
565a**---------**Math 245**_

**Fall
2015 ---------****Math 425a**_____**Math ****570a**

**Spring 2016****----****-Math 465**--------- **Math
565a **

## Research

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.

###