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Infinite-dimensional systems
Preprints
- Nikolaos Karaliolios, Differentiable Rigidity for quasiperiodic cocycles in compact Lie groups. DynamIC Preprint 2016-9
2022
- Serhiy Yanchuk, Matthias Wolfrum, Tiago Pereira, and Dmitry Turaev, Absolute stability and absolute hyperbolicity in systems with discrete time-delays, Journal of Differential Equations 318(2022), 323−343. Article MathSciNet
2018
- Martin Rasmussen, Janosch Rieger, and Kevin Webster, A reinterpretation of set differential equations as differential equations in a Banach space, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 148, 2 (2018), 429−446. Article MathSciNet Preprint
2015
- Ivan I. Ovsyannikov, Dmitry Turaev, and Sergey Zelik, Bifurcation to chaos in the complex Ginzburg-Landau equation with large third-order dispersion, Modelirovanie i Analiz Informatsionnykh Sistem. Modeling and Analysis of Information Systems 22, 3 (2015), 327−336. Article MathSciNet Preprint
2014
- Dmitry Turaev, Christopher Warner, and Sergey Zelik, Energy growth for a nonlinear oscillator coupled to a monochromatic wave, Regular and Chaotic Dynamics 19, 4 (2014), 513−522. Article MathSciNet
2010
- Dmitry Turaev and Sergey Zelik, Analytical proof of space-time chaos in Ginzburg-Landau equations, Discrete and Continuous Dynamical Systems A 28, 4 (2010), 1713−1751. Article MathSciNet
2009
- Shangjiang Guo, Jeroen S. W. Lamb, and Bob W. Rink, Branching patterns of wave trains in the FPU lattice, Nonlinearity 22, 2 (2009), 283−299. Article MathSciNet
2008
- Shangjiang Guo and Jeroen S. W. Lamb, Equivariant Hopf bifurcation for neutral functional differential equations, Proceedings of the American Mathematical Society 136, 6 (2008), 2031−2041. Article MathSciNet
2006
- Bob Rink, Proof of Nishida's conjecture on anharmonic lattices, Communications in Mathematical Physics 261, 3 (2006), 613−627. Article MathSciNet
2003
- Dmitry Turaev and Sergey Zelik, Homoclinic bifurcations and dimension of attractors for damped nonlinear hyperbolic equations, Nonlinearity 16, 6 (2003), 2163−2198. Article MathSciNet
2002
- János Engländer and Dmitry Turaev, A scaling limit theorem for a class of superdiffusions, The Annals of Probability 30, 2 (2002), 683−722. Article MathSciNet
1998
- Leonid A. Bunimovich and Dmitry Turaev, Localized solutions in lattice systems and their bifurcations caused by spatial interactions, Nonlinearity 11, 6 (1998), 1539−1545. Article MathSciNet
- Bernold Fiedler and Dmitry Turaev, Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions, Archive for Rational Mechanics and Analysis 145, 2 (1998), 129−159. Article MathSciNet
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