1 Linear vs. Nonlinear.- 2 Planar Dynamical Systems.- 3 Mathematical Background.- 4 Input-Output Analysis.- 5 Lyapunov Stability Theory.- 6 Applications of Lyapunov Theory.- 7 Dynamical Systems and Bifurcations.- 8 Basics of Differential Geometry.- 9 Linearization by State Feedback.- 10 Design Examples Using Linearization.- 11 Geometric Nonlinear Control.- 12 Exterior Differential Systems in Control.- 13 New Vistas: Multi-Agent Hybrid Systems.- References.

Nonlinear Systems: Analysis, Stability, and Control

Biological relevance of pituitary adenylate cyclase-activating polypeptide (PACAP) in the gastrointestinal tract.

Compactness and connectedness in topological groups

Intellectual property right violations are an important problem for integrated system designers. We propose a new solution for mitigating such violations, denoted as soft physical hash functions. It combines previously introduced ideas of soft hash functions (in the field of image processing) and side-channel leakage (in the field of cryptographic hardware). For this purpose, we first introduce and formalize the components of an intellectual property detection infrastructure using soft physical hash functions. Next, we discuss its advantages over previous proposals aiming at similar goals. The most important point here is that the proposed technique can be applied to already deployed products. Finally, we validate our approach with a first experimental study.

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Intellectual Property Protection for Integrated Systems Using Soft Physical Hash Functions

The late William R. Sears (1913-2002) studied at the California Institute of Technology under the renowned engineer and physicist Theodore von Karman. During World War II Sears served as chief of aerodynamics and flight testing for Northrop Aircraft Corporation where he worked on projects including the P-61 Black Widow and Northrop's Flying WingA". In 1946 he became director of the newly created Graduate School of Aeronautical Engineering of Cornell University in Ithaca, New York. In 1974 Sears joined the Department of Aerospace and Mechanical Engineering of the University of Arizona. Introduction to Theoretical Hydrodynamics was originally prepared by William Sears in 1948 for use in classes at Cornell University. Revised periodically during the ensuing decades it has remained a popular text, the value of which is recognized throughout the field even today. Formally published for the first time, this edition features updates prepared by former students of Sears to enhance ease of use by today's students. These include the presentation of Sample Problems and their solutions throughout the text. The book also features Exercises whose solutions are provided in the accompanying Solutions Manual.

Introduction to Theoretical Aerodynamics and Hydrodynamics

Connected and disconnected fields

We adjoin a point at infinity to a field with a ring topology and extend the topology by taking complements of bounded sets as neighbourhoods of infinity. We note some elementary relations between the topology on the field and the topology on the field with infinity adjoined.

Point at infinity

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An exposition of a portion of Zobel's results on direct topologies is given. A construction by Zobel of direct topologies on the rational field is generalized to produce direct topologies on certain other discretely valued fields.

Direct Topologies from Discrete Rings

A construction by the author of topologies on the rational field is generalized by considering the ring of rational integers as a special case of a discretely topologized subring of a field topologized by an absolute value.

Residue Class Topologies

We prove that an integral domain with a direct topology is is algebraically closed in its completion and that a direct topology on a field can be extended to a direct topology on a simple algebraic extension. We give a canonical description of the inverse of an element in the completion of a ring with a direct topology. We consider a ring topology constructed by Marcos in terms of direct topologies and give generalizations of two constructions of Mutylin.

Niel Shell

Papers

Connected and disconnected fields

Point at infinity

Direct Topologies from Discrete Rings

Residue Class Topologies

Direct topologies from discrete rings. II