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ISSAC
2005
Springer
63views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Symbolic-numeric completion of differential systems by homotopy continuation
Two ideas are combined to construct a hybrid symbolicnumeric differential-elimination method for identifying and including missing constraints arising in differential systems. F...
Greg Reid, Jan Verschelde, Allan D. Wittkopf, Weny...
MCS
2007
Springer
13 years 5 months ago
Continuous and discrete homotopy operators: A theoretical approach made concrete
Using standard calculus, explicit formulas for the one-dimensional continuous and discrete homotopy operators are derived. It is shown that these formulas are equivalent to those ...
W. Hereman, Bernard Deconinck, L. D. Poole
LICS
2012
IEEE
11 years 7 months ago
Logics of Dynamical Systems
—We study the logic of dynamical systems, that is, logics and proof principles for properties of dynamical systems. Dynamical systems are mathematical models describing how the s...
André Platzer
JAR
2008
107views more  JAR 2008»
13 years 5 months ago
Differential Dynamic Logic for Hybrid Systems
Hybrid systems are models for complex physical systems and are defined as dynamical systems with interacting discrete transitions and continuous evolutions along differential equat...
André Platzer
CSL
2010
Springer
13 years 6 months ago
Quantified Differential Dynamic Logic for Distributed Hybrid Systems
Abstract. We address a fundamental mismatch between the combinations of dynamics that occur in complex physical systems and the limited kinds of dynamics supported in analysis. Mod...
André Platzer