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Numerical analysis of invariant manifolds characterized by quasi-periodic oscillations of nonlinear systems
(kassel university press, 2021)
Quasi-periodic motions systematically occur, when a system is subjected to multiple unrelated excitation mechanisms. Since unrelated mechanisms generically exhibit in dependent frequencies, the resulting motion is characterized by multiple fundamental frequencies. Consequently, the resulting motion is not periodic, but, due to the inde pendent frequencies, sort of periodic, namely quasi-periodic. Not being able to identify one unique fundamental frequency, established methods for the identification of periodic ...
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Fomento de la Educación-STEM y la Modelización Matemática para profesores
(kassel university press, 2021)
Este libro, como otros en el área de la educación matemática, procura mostrar diversas formas que los profesores pueden utilizar para que sus estudiantes aprecien el rol de la matemática en sus vidas y la sepan utilizar y valorar cuando la requieran. Este libro es tambien un presente de los autores a los profesores de Matemáticas de Chile. En el libro han colaborado principalmente especialistas de Chile que se han destacado en la educación matemática y especialmente en la modelación y los campos STEM, entre ellos hay ...
Buch
Mixed-mode cohesive cracks and complex potentials of linear elastic fracture mechanics: new theoretical aspects and numerical applications
(kassel university press, 2023)
The J-integral is a powerful tool to determine crack tip loading, where the J-integral vector also allows for the quantification of crack deflection applying the J-integral vector criterion. Although originally formulated for sharp cracks with a crack tip singularity, the J-integral vector can also be derived for cracks with cohesive zones. The relation and proof of equivalency of the first coordinate of the vector and the crack tip opening displacement, typically associated with the cohesive zone model, has been ...
Buch
Quantum Technology using Cold Diatomic Molecular Ions: Interferometry and Cooling
(kassel university press, 2023)
Atoms and atomic ions have proved to be useful as quantum technological systems, where atomic clocks are one of the more famous implementations. Molecules, with more degrees of freedom (vibrations and rotations) are considered as natural extensions to atomic systems. In particular, we study cold molecular diatomic ions as systems for implementation in quantum technology and in particular the rotational degree of freedom of such molecular ions. Quantum effects manifest themselves at very cold temperatures. To reach ...