I. A. Dynnikov, “The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron”, Russian Math. Surveys, 54:1 (1999), 21

Citation in format AMSBIB

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\by I.~A.~Dynnikov

\paper The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron

\jour Russian Math. Surveys

\yr 1999

\vol 54

\issue 1

\pages 21--59

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This publication is cited in the following 45 articles:

A. Ya. Maltsev, S. P. Novikov, “Topology of dynamical systems on the Fermi surface and galvanomagnetic phenomena in normal metals”, Journal of Mathematical Physics, 65:7 (2024)
A. Ya. Maltsev, “On the Novikov Problem with a Large Number of Quasiperiods and Its Generalizations”, Proc. Steklov Inst. Math., 325 (2024), 163–176
A. Ya. Mal'tsev, “OSOBENNOSTI τ -PRIBLIZhENIYa DLYa KhAOTIChESKIKh ELEKTRONNYKh TRAEKTORIY NA SLOZhNYKh POVERKhNOSTYaKh FERMI”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 166:3 (2024)
A. Ya Mal'tsev, “Perekhody Lifshitsa i uglovye diagrammy provodimosti v metallakh so slozhnymi poverkhnostyami Fermi”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 164:5 (2023), 817
Andreas Knauf, “Mini-course: Classical mechanics and transport”, Journal of Mathematical Physics, 64:8 (2023)
A. Ya. Maltsev, “Lifshitz Transitions and Angular Conductivity Diagrams in Metals with Complex Fermi Surfaces”, J. Exp. Theor. Phys., 137:5 (2023), 706
I. A. Dynnikov, A. Ya. Mal'tsev, S. P. Novikov, “Geometry of quasiperiodic functions on the plane”, Russian Math. Surveys, 77:6 (2022), 1061–1085
I. A. Dynnikov, A. Ya. Mal'tsev, S. P. Novikov, “Chaotic trajectories on fermi surfaces and nontrivial modes of behavior of magnetic conductivity”, J. Exp. Theor. Phys., 135 (2022), 240–254
A. Ya. Maltsev, “Resonant contributions to oscillatory phenomena under conditions of magnetic breakdown during reconstructions of electron dynamics on the Fermi surface”, J. Exp. Theor. Phys., 135 (2022), 927–935
Maltsev A.Ya., “Distinctive Features of Oscillatory Phenomena in Reconstructions of the Topological Structure of Electron Trajectories on Complex Fermi Surfaces”, J. Exp. Theor. Phys., 133:5 (2021), 599–611
Dynnikov I. Maltsev A., “Features of the Motion of Ultracold Atoms in Quasiperiodic Potentials”, J. Exp. Theor. Phys., 133:6 (2021), 711–736
Trans. Moscow Math. Soc., 82 (2021), 133–147
Maltsev A.Ya., “Reconstructions of the Electron Dynamics in Magnetic Field and the Geometry of Complex Fermi Surfaces”, J. Exp. Theor. Phys., 131:6 (2020), 988–1020
A. Ya. Maltsev, S. P. Novikov, “Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter”, Russian Math. Surveys, 74:1 (2019), 141–173
De Leo R. Maltsev A.Y., “Quasiperiodic Dynamics and Magnetoresistance in Normal Metals”, Acta Appl. Math., 162:1 (2019), 47–61
Maltsev A.Ya., “the Complexity Classes of Angular Diagrams of the Metal Conductivity in Strong Magnetic Fields”, J. Exp. Theor. Phys., 129:1 (2019), 116–138
Novikov S.P. De Leo R. Dynnikov I.A. Maltsev A.Ya., “Theory of Dynamical Systems and Transport Phenomena in Normal Metals”, J. Exp. Theor. Phys., 129:4, SI (2019), 710–721
De Leo R., “A Survey on Quasiperiodic Topology”, Advanced Mathematical Methods in Biosciences and Applications, Steam-H Science Technology Engineering Agriculture Mathematics & Health, ed. Berezovskaya F. Toni B., Springer International Publishing Ag, 2019, 53–88
A. Ya. Maltsev, S. P. Novikov, “The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems”, Proc. Steklov Inst. Math., 302 (2018), 279–297
Maltsev A.Ya., “The Second Boundaries of Stability Zones and the Angular Diagrams of Conductivity For Metals Having Complicated Fermi Surfaces”, J. Exp. Theor. Phys., 127:6 (2018), 1087–1111