User:Kuznetsov N.V.

Kuznetsov N.V. (Nikolay V. Kuznetsov)

2008: Ph.D. degree, University of Jyväskylä, Finland

2006: Specialist degree in Management (diploma with honors)

2005 – now: Associated Professor of Saint-Petersburg State University, Faculty of Mathematics and Mechanics

2004:

Postdoctoral position in Max Planck Institute, Physics of Complex Systems, Dresden, Germany

Candidate of Sciences degree in Discrete mathematics and mathematical cybernetics, Saint-Petersburg State University

2001: Specialist degree in Applied mathematics and informatics (diploma with honors), Saint-Petersburg State University, Faculty of Mathematics and Mechanics

Kuznetsov N.V. author and co-author over 100 journal and conference papers.

Main publications

  • {{cite journal

| author = Leonov G.A., Kuznetsov N.V.

| year = 2011

| title = Algorithms for Searching for Hidden Oscillations in the Aizerman and Kalman Problems

| journal = Doklady Mathematics

| volume = 84

| number = 1

| pages = 475–481

| doi = 10.1134/S1064562411040120}}

  • {{cite journal

| author = Bragin V.O., Vagaitsev V.I., Kuznetsov N.V., Leonov G.A.

| year = 2011

| title = Algorithms for Finding Hidden Oscillations in Nonlinear Systems. The Aizerman and Kalman Conjectures and Chua's Circuits

| journal = Journal of Computer and Systems Sciences International

| volume = 50

| number = 4

| pages = 511–543

| doi = 10.1134/S106423071104006X}}

  • {{cite journal

| author = G.A. Leonov, N.V. Kuznetsov, O.A. Kuznetsova, S.M. Seledzhi, V.I.Vagaitsev

| year = 2011

| title = Hidden oscillations in dynamical systems

| journal = Transaction on Systems and Control

| volume = 6

| issue = 2

| pages = 54–67

| url = http://www.math.spbu.ru/user/nk/PDF/2011-WTSC-Hidden-oscillations-in-dynamical-systems.pdf

| bibcode=}}

  • {{cite journal

| author = G.A. Leonov, N.V. Kuznetsov

| year = 2007

| title = Time-Varying Linearization and the Perron effects

| journal = International Journal of Bifurcation and Chaos

| volume = 17

| issue = 4

| pages = 1079–1107

| url = http://www.math.spbu.ru/user/nk/PDF/2007_IJBC_Lyapunov_exponent_Linearization_Chaos_Perron_effects.pdf

| doi = 10.1142/S0218127407017732

| bibcode=}}

  • {{cite journal |

author = Leonov G.A., Vagaitsev V.I., Kuznetsov N.V. |

year = 2011 |

title = Localization of hidden Chua's attractors |

journal = Physics Letters, Section A |

volume = 375 |

issue = 23 |

pages = 2230–2233 |

doi = 10.1016/j.physleta.2011.04.037}}

  • {{cite journal |

author = G.A. Leonov, N.V. Kuznetsov, and E.V. Kudryashova |

year = 2011 |

title = A Direct Method for Calculating Lyapunov Quantities of Two-Dimensional Dynamical Systems |

journal = Proceedings of the Steklov Institute of Mathematics |

volume = 272 |

issue = Supplement 1 |

pages = S119–S127 |

doi = 10.1134/S008154381102009X}}

  • * {{cite journal

| author = G.A. Leonov, V.O. Bragin, N.V. Kuznetsov

| year = 2010

| title = Algorithm for Constructing Counterexamples to the Kalman Problem

| journal = Doklady Mathematics

| volume = 82

| number = 1

| pages = 540–542

| url = http://www.math.spbu.ru/user/nk/PDF/2010_DAN_Absolute_Stability_Harmonic_Balance_Aizerman_Kalman_Problem.pdf

| doi = 10.1134/S1064562410040101}}

  • {{cite journal

| author = Leonov G.A., Vagaitsev V.I., Kuznetsov N.V.

| year = 2010

| title = Algorithm for localizing Chua attractors based on the harmonic linearization method

| journal = Doklady Mathematics

| volume = 82

| number = 1

| pages = 663–666

| url = http://www.math.spbu.ru/user/nk/PDF/2010_DAN_Hidden_Chua_Attractor_Localization_Harmonic_Balance.pdf

| doi = 10.1134/S1064562410040411}}

  • {{cite journal

| author = G.A. Leonov, N.V. Kuznetsov

| year = 2010

| title = Limit Cycles of Quadratic Systems with a Perturbed Weak Focus of Order 3 and a Saddle Equilibrium at Infinity

| journal = Doklady Mathematics

| volume = 82

| number = 2

| pages = 693–696

| url = http://www.math.spbu.ru/user/nk/PDF/2010-DAN-limit-cycles-quadratic-system-weak-focus-third-order.pdf

| doi = 10.1134/S1064562410050042}}

  • {{cite journal

| author = G.A. Leonov, N.V. Kuznetsov, S.M. Seledzhi, K.E. Starkov

| year = 2010

| title = Localization of the Attractor of the Differential Equations for the Solar Wind-Magnetosphere-Ionosphere Model

| journal = Doklady Physics

| volume = 55

| number = 9

| pages = 471–473

| url = http://www.math.spbu.ru/user/nk/PDF/2010-DAN-Solar-Wind-Magnetosphere-Ionosphere-WINDMI-attractor.pdf

| doi = 10.1134/S1028335810090120}}

  • {{cite journal

| author = Kuznetsov N.V., Leonov G.A.

| year = 2008

| title = Lyapunov quantities, limit cycles and strange behavior of trajectories in two-dimensional quadratic systems

| journal = Doklady Physics

| volume = 10

| issue = 4

| pages = 460–467

| url = http://www.math.spbu.ru/user/nk/PDF/2008-JVE-Lyapunov-quantities-limit-cycles-in-two-dimensioanl.pdf

}}