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PhD thesis:

Defended: 29/10/2013

Institution: University of Zagreb, Faculty of Science, Department of mathematics

Title: *Fixed points of diffeomorphisms, singularities of vector fields and epsilon-neighborhoods of their orbits*

Supervisors: Pavao Mardesic, IMB, Université de Bourgogne, Dijon, France
Vesna Zupanovic, University of Zagreb, Croatia

Full Text on arXiv, PDF

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Research publications:

- Mardesic, P., Resman, M.
* Analytic moduli for parabolic Dulac germs *, accepted for publication in Russian Mathematical Surveys (Uspekhi Matematicheskikh Nauk) (2020), arXiv
- Mardesic, P., Resman, M., Rolin, J.P., Zupanovic, V.,
* Tubular neighborhoods of orbits of Dulac maps *, Journal of Dynamics and Differential Equations 1 (2019), 1-49 arXiv
- Mardešić, P., Resman, M., Rolin, J.-P., Županović, V.,
* The Fatou coordinate for parabolic Dulac germs, *Journal of Differential Equations 266, 6 (2019), 3479-3513, arXiv
- Mardešić, P., Resman, M., Rolin, J.P., Županovic, V.,
*Normal forms and embeddings for power-log transseries*, Advances in Mathematics 303 (2016), 888-953.
arXiv
- Resman, M.,
*Epsilon-neighborhoods of orbits of parabolic diffeomorphisms and cohomological equations*, Nonlinearity 27 (2014), 3005-3029.
arXiv, PDF
- Resman, M.,
* Epsilon-neighborhoods of orbits and formal classification of parabolic diffeomorphisms*, Discrete and continuous dynamical systems 33 (8) (2013), 3767-3790.
arXiv, PDF
- Resman, M.,
* Invariance of the generalized Minkowski content with respect to the ambient space*, Chaos, solitons and fractals 57 (2013), 123-128.
arXiv, PDF
- Mardešic, P., Resman, M., Zupanovic, V.,
*Multiplicity of fixed points and growth of epsilon-neighborhoods of orbits*, Journal of differential equations 253 (8) (2012), 2493-2514.
arXiv
- Korkut, L., Resman, M.,
* Oscillations of chirp-like functions*, Georgian Mathematical Journal. 19 (4) (2012), 705-720.