This interactive Mathematica notebook provides a ready-made tool by which users can undertake their own mathematical experiments and explore the behavior of nonlinear ...

We consider a defaultable asset whose risk-neutral pricing dynamics are described by an exponential Levy-type martingale subject to default. This class of models allows for ...

Modern microeconomics and macroeconomics study dynamic phenomena. Dynamics could predict future states of an economy based on its structural characteristics. Dynamic models ...

Chaotic dynamics are an interesting topic in nonlinear science that has been intensively studied during the last three decades due to its wide availability. Motivated by much ...

Part of the following mathematica procedures have been used to make experiments and illustrations to our preprint `A.Hof and O.Knill, Cellular automata with almost periodic ...

Complex behavior occurs in the following non-isothermal chemical system: P->A A+2B->3B A->B B->C+heat The notebook plots the time series for various value of the ...

We apply a modified version of the two methods descibed by M. Sandri in order to determine the maximum Lyapunov exponent and all Lyapunov exponents. The modification ...

The Hiller-Sucher-Feinberg (HSF) identity for matrix elements of Dirac's delta-function is used to obtain an alternative equation for the electron density. Asymptotics of the ...

LevelScheme Comput. Phys. Commun. 171, 107 (2005) is a scientific figure preparation system for Mathematica. LevelScheme provides a general infrastructure for the ...

We would like to rise water temperature with a heater. Oulet temperature must be equal to the set point temperature (80°C). Proportional, Proportional-Integral and ...