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Diophantine conditions in small divisors and transcendental number theory
Noncommutative dynamical systems with two generators and their applications in analysis
1.  Department of Mathematics, Technion, Haifa, 32000 
[1] 
Francesco Paparella, Alessandro Portaluri. Geometry of stationary solutions for a system of vortex filaments: A dynamical approach. Discrete & Continuous Dynamical Systems, 2013, 33 (7) : 30113042. doi: 10.3934/dcds.2013.33.3011 
[2] 
Ahmed Y. Abdallah. Upper semicontinuity of the attractor for a second order lattice dynamical system. Discrete & Continuous Dynamical Systems  B, 2005, 5 (4) : 899916. doi: 10.3934/dcdsb.2005.5.899 
[3] 
Mustapha Yebdri. Existence of $ \mathcal{D} $pullback attractor for an infinite dimensional dynamical system. Discrete & Continuous Dynamical Systems  B, 2022, 27 (1) : 167198. doi: 10.3934/dcdsb.2021036 
[4] 
Wade Hindes. Orbit counting in polarized dynamical systems. Discrete & Continuous Dynamical Systems, 2022, 42 (1) : 189210. doi: 10.3934/dcds.2021112 
[5] 
Giuseppe Gaeta. On the geometry of twisted prolongations, and dynamical systems. Discrete & Continuous Dynamical Systems  S, 2020, 13 (4) : 12091227. doi: 10.3934/dcdss.2020070 
[6] 
Mostafa Fazly, Mahmoud Hesaaraki. Periodic solutions for a semiratiodependent predatorprey dynamical system with a class of functional responses on time scales. Discrete & Continuous Dynamical Systems  B, 2008, 9 (2) : 267279. doi: 10.3934/dcdsb.2008.9.267 
[7] 
Wen Tan. The regularity of pullback attractor for a nonautonomous pLaplacian equation with dynamical boundary condition. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 529546. doi: 10.3934/dcdsb.2018194 
[8] 
Joachim Escher, Boris Kolev, Marcus Wunsch. The geometry of a vorticity model equation. Communications on Pure & Applied Analysis, 2012, 11 (4) : 14071419. doi: 10.3934/cpaa.2012.11.1407 
[9] 
Shigui Ruan, Junjie Wei, Jianhong Wu. Bifurcation from a homoclinic orbit in partial functional differential equations. Discrete & Continuous Dynamical Systems, 2003, 9 (5) : 12931322. doi: 10.3934/dcds.2003.9.1293 
[10] 
Valery A. Gaiko. The geometry of limit cycle bifurcations in polynomial dynamical systems. Conference Publications, 2011, 2011 (Special) : 447456. doi: 10.3934/proc.2011.2011.447 
[11] 
Michael Barnsley, James Keesling, Mrinal Kanti Roychowdhury. Special issue on fractal geometry, dynamical systems, and their applications. Discrete & Continuous Dynamical Systems  S, 2019, 12 (8) : ii. doi: 10.3934/dcdss.201908i 
[12] 
Răzvan M. Tudoran, Anania Gîrban. On the Hamiltonian dynamics and geometry of the Rabinovich system. Discrete & Continuous Dynamical Systems  B, 2011, 15 (3) : 789823. doi: 10.3934/dcdsb.2011.15.789 
[13] 
QHeung Choi, Changbum Chun, Tacksun Jung. The multiplicity of solutions and geometry in a wave equation. Communications on Pure & Applied Analysis, 2003, 2 (2) : 159170. doi: 10.3934/cpaa.2003.2.159 
[14] 
Marc HomsDones. A generalization of the Babbage functional equation. Discrete & Continuous Dynamical Systems, 2021, 41 (2) : 899919. doi: 10.3934/dcds.2020303 
[15] 
W.J. Beyn, Y.K Zou. Discretizations of dynamical systems with a saddlenode homoclinic orbit. Discrete & Continuous Dynamical Systems, 1996, 2 (3) : 351365. doi: 10.3934/dcds.1996.2.351 
[16] 
Venkatesan Govindaraj, Raju K. George. Controllability of fractional dynamical systems: A functional analytic approach. Mathematical Control & Related Fields, 2017, 7 (4) : 537562. doi: 10.3934/mcrf.2017020 
[17] 
Haibo Jin, Long Hai, Xiaoliang Tang. An optimal maintenance strategy for multistate systems based on a system linear integral equation and dynamic programming. Journal of Industrial & Management Optimization, 2020, 16 (2) : 965990. doi: 10.3934/jimo.2018188 
[18] 
Dezhong Chen, Li Ma. A Liouville type Theorem for an integral system. Communications on Pure & Applied Analysis, 2006, 5 (4) : 855859. doi: 10.3934/cpaa.2006.5.855 
[19] 
Changlu Liu, Shuangli Qiao. Symmetry and monotonicity for a system of integral equations. Communications on Pure & Applied Analysis, 2009, 8 (6) : 19251932. doi: 10.3934/cpaa.2009.8.1925 
[20] 
Yingshu Lü, Chunqin Zhou. Symmetry for an integral system with general nonlinearity. Discrete & Continuous Dynamical Systems, 2019, 39 (3) : 15331543. doi: 10.3934/dcds.2018121 
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