List of Publications

Selected Journal Articles

1. R. Mazrooei-Sebdani, E. Hakimi, Hamiltonian Hopf Bifurcations Near a Chaotic Hamiltonian Resonance, Physica D: Nonlinear Phenomena, 459 (2024) 134017.

2. R. Mazrooei-Sebdani, Z. Yousefi, Lagrangian Fibrations in Coupled Resonant Oscillators in the Paired Case of Four Degrees of Freedom Containining Swinging Spring Oscillator, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 478 (2022) 1-20.

3. R. Mazrooei-Sebdani, E. Hakimi, All relative equilibria of Hamiltonian in detuned 1:2:3 resonance, Journal of Differential Equations, 292 (2021) 501-533.

4. R. Mazrooei-Sebdani, E. Hakimi, Periodic Klein-Gordon chains with three particles in 1:2:2 resonance, Journal of Dynamics and Differential Equations, (2021) to appear.

5. R. Mazrooei-Sebdani, E. Hakimi, Non-degenerate Hamiltonian Hopf bifurcations in ω : 3 : 6 resonance (ω = 1 or 2), Regular and Chaotic Dynamics, 25 (2020) 522-536.

6. R. Mazrooei-Sebdani, E. Hakimi, On Hamiltonian oscillators in detuned 1:1:3 resonance with cases of cubic and quartic potentials with symmetry, Chaos: An Interdisciplinary Journal of Nonlinear Science, 30, (2020) 093119.

7. R. Mazrooei-Sebdani, Z. Yousefi, The Coupled 1:2 Resonance in a Symmetric Case and Parametric Amplification Model, Discrete and Continuous Dynamical Systems-B, 26 (2021) 3737-3765.
 

8. H. Hanßmann, R. Mazrooei-Sebdani, F. Verhulst, The 1:2:4 resonance in a particle chain, Indagationes Mathematicae, In Memoriam Hans Duistermaat (1942-2010 (https://en.wikipedia.org/wiki/Hans_Duistermaat), 32 (2021) 101-120.

9. R. Mazrooei-Sebdani, Z. Eskandari, Numerical Detection and Analysis of Strong Resonance Bifurcations with a Reflection Symmetry and Some Applications in Economics and Neural Networks, International Journal of Bifurcation and Chaos, 30 (2020) 2050100.

10. R. Mazrooei-Sebdani, Z. Eskandari, Neimark-Sacker bifurcation with Zn-symmetry and a neural application, Qualitative Theory of Dynamical Systems, 18 (2019) 931-946.

11. R. Mazrooei-Sebdani, Z. Eskandari, H.G.E. Meijer, Numerical Bifurcation Analysis of Double +1 Multiplier in Z3 Symmetric Maps: A Case Study in the Cournot Triopoly, Journal of Difference Equations and Applications, 24 (2018) 1402-1413.

12. R. Mazrooei-Sebdani, Z. Eskandari, Numerical Bifurcation Analysis of Fold-Pitchfork Bifurcation with Z2 Symmetry and its Application in Pipe Flow, Journal of Physical Research (in Persian), 18 (2018) 125-137.

13. R. Mazrooei-Sebdani, On Bifurcations of Delay Single Species Discrete Time Population Models, Journal of Difference Equations and Applications, 24 (2018) 192-219.

14. R. Mazrooei-Sebdani, Planar Homogeneous Systems of Difference Equations, Mathematical Methods in Applied Sciences, 6 (2015) 1089-1097.

15. R. Mazrooei-Sebdani, Non-autonomous Homogeneous Rational Difference Equations of Degree One: Convergence and Monotone Solutions for Second and Third Order Case, Mathematical Methods in Applied Sciences, 4 (2014) 518-523.

16. R. Mazrooei-Sebdani, Convergence in Homogeneous Difference Equations of Degree 1, Journal of Difference Equations and Applications, 19 (2013) 13-26.

17. R. Mazrooei-Sebdani, Homogeneous Rational Systems of Difference Equations in the Plane, Journal of Difference Equations and Applications, 19 (2013) 273-303.

18. R. Mazrooei-Sebdani, Homogeneous Rational Difference Equations of Degree 1: Convergence, Monotone and Oscillatory Solutions for Second and Third Order Case, Journal of Difference Equations and Applications, 18 (2012) 1979-2018.

19. R. Mazrooei-Sebdani, Chaos in Rational Systems in the Plane Containing Quadratic Terms, Communications in Nonlinear Science and Numerical Simulation, 17 (2012) 3857-3865.

20. R. Mazrooei-Sebdani, M. Dehghan, A Generalized Semiconjugacy in Difference Equations, Acta Macta Matematica Scientia, 32 (2012) 978-988.

21. M. Dehghan, R. Mazrooei-Sebdani, H. Sedaghat, Global behaviour of the Riccati difference equation of order two, Journal of Difference Equations and Applications, 17 (2011) 467-477.

22. R. Mazrooei-Sebdani, M. Dehghan, Chaotic Behavior and Dynamics of Maps Used in a Method of Scrambling Signals, International Journal of Bifurcation and Chaos, 20 (2010) 4097-4101.

23. M. Dehghan, C. M. Kent, R. Mazrooei-Sebdani, N. L. Ortiz, H. Sedaghat, Dynamics of rational difference equations containing quadratic terms, Journal of Difference Equations and Applications, 14 (2008) 191-208.

24. M. Dehghan, C. M. Kent, R. Mazrooei-Sebdani, N. L. Ortiz, H. Sedaghat, Monotone and oscillatory solutions of a rational difference equation containing quadratic terms, Journal of Difference Equations and Applications, 14 (2008) 1045-1058.

25. R. Mazrooei-Sebdani, M. Dehghan, A non-trivial relation between some many dimensional chaotic discrete dynamical systems and some one-dimensional chaotic discrete dynamical systems, Computer Physics Communications, 179 (2008) 628-633.

26. R. Mazrooei-Sebdani, M. Dehghan, Some results about the global attractivity of bounded solutions of difference equations with applications to periodic solutions, Chaos, Solitons & Fractals, 32 (2007) 1398-1412.

27. D. M. Chan, E. R. Chang, M. Dehghan, C. M. Kent, R. Mazrooei-Sebdani, H. Sedaghat, Asymptotic stability for difference equations with decreasing arguments, Journal of Difference Equations and Applications, 12 (2006) 109 123.

                                                                  In Progress Preprints 

6. H. Hanßmann, R. Mazrooei-Sebdani, Relative equilibria of a 4–particle ring passing through the 1:2:4 resonance, in progress.

5. H. Hanßmann, R. Mazrooei-Sebdani, F. Verhulst, Hamiltonian Oscillators in 1:±2:±4 Resonance, in progress (167 pages).

4. R. Mazrooei-Sebdani, L.M. Lerman, Double Hamiltonian Hopf Bifurcation, in progress.

3. R. Mazrooei-Sebdani, Dynamics of 5/3-Conformal Newton-Hooke Symmetry of Pais-Uhlenbeck Oscillator with Potentials of Duffing Type, in progress.

2. R. Mazrooei-Sebdani, O. Toghraei, An Integrable Pais-Uhlenbeck Oscillator with Cubic Potentials, in progress.

1. R. Mazrooei-Sebdani, Dynamics of Resonant Wave Motions with High Order Degeneracy, in progress

                                                            Conferences and Workshops                  

1. R. Mazrooei-Sebdani, Resonance in particle chains and dynamics, 12th Int’l Conference on Mathematical Modelling in Physical Sciences, Belgrade, Serbia, 2023.

2. R. Mazrooei-Sebdani, On a Class of Maps with Complicated Dynamics, Chaos 2015 Conference, Henri Poincaré Institute, Paris, France, 2015.

3. R. Mazrooei-Sebdani, Dynamics of Multi-Level Systems, Max Planck Institute for Physics and Complex Systems, Dresden, Germany 2015.

4. R. Mazrooei-Sebdani, Perspectives in Hamiltonian Dynamics, A Conference by Padova University, Don Orione Artigianelli cultural center, Venice, Italy, 2018.

5. M. Dehghan, R. Mazrooei-Sebdani, Global Attractivity of xn+1 = f(xn, xn-1, xn-2), 36th Annual Iranian Mathematics Conference, Yazd University, Yazd, Iran, 2005.

6. R. Mazrooei-Sebdani, Reduction order in Planar Homogeneous Equations, 10th Seminar on Differential Equations and Dynamical Systems, University of Mazandaran, Babolsar, Iran, 2013.

7. R. Mazrooei-Sebdani, Tahmineh Azizi, Mohamad Ezatpanah-Gashti, Dynamics of a Modified Nicholson-Bailey Model with Density-Dependent Factor I, 5th Iranian Conference on Applied Mathematics, Bu-Ali Sina University, Hamedan, Iran, 2013.

8. R. Mazrooei-Sebdani, Mohamad Ezatpanah-Gashti, Tahmineh Azizi, Behaviors of a Modified Competition Logistic System, 5thIranian Conference on Applied Mathematics, Bu-Ali Sina University, Hamedan, Iran, 2013.

9. R. Mazrooei-Sebdani (Organizer), Discrete Models in Biology, Workshop on Biomathematics, IPM Isfahan Branch, Isfahan, Iran, 2013.

10. R. Mazrooei-Sebdani, Applied Dynamics, Workshop on Applied Dynamics, National Elites Foundation, Isfahan, Iran, 2013.