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Nikolay V. Kuznetsov

Nikolay V. Kuznetsov is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Nikolay V. Kuznetsov rather than just read about it. In short: Nikolay Vladimirovich Kuznetsov (Russian: Николай Владимирович Кузнецов; born 13 May 1979 in Leningrad, USSR) is a specialist in nonlinear dynamics and control theory, and the founder of the theory of hidden oscillations. Academic career He graduated from the St.

Nikolay V. Kuznetsov — main illustration
Nikolay V. Kuznetsov — illustration

Key takeaways

  • Nikolay V. Kuznetsov belongs to astronomy; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Nikolay V. Kuznetsov to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Nikolay V. Kuznetsov from memory before moving on to harder problems.

Reference excerpt

Nikolay Vladimirovich Kuznetsov (Russian: Николай Владимирович Кузнецов; born 13 May 1979 in Leningrad, USSR) is a specialist in nonlinear dynamics and control theory, and the founder of the theory of hidden oscillations.

Academic career He graduated from the St. Petersburg University, Department of Theoretical Cybernetics chaired by V.A. Yakubovich, in 2001. In 2004 he received Candidate of Science degree (supervisor G.A. Leonov) and in 2016 Doctor of Science degree (Habilitation) from St. Petersburg University. From 2003 Nikolay Kuznetsov has been working in St. Petersburg University and now he is Full professor (tenured) and Head of the Department of Applied Cybernetics there. Since 2018 the research group chaired by Kuznetsov has been awarded the status of the Leading Scientific School (Center of Excellence) of Russia in the field of mathematics and mechanics. In 2020 he was named Professor of the Year in the field of mathematics and physics in Russia.

Since 2018, Kuznetsov is Head of the Laboratory of information and control systems at the Institute for Problems in Mechanical Engineering of the Russian Academy of Science. In 2022, Nikolay Kuznetsov was elected a member of the Russian Academy of Science. In 2008, Kuznetsov defended his Ph.D. degree at the University of Jyväskylä, Finland (supervisors P. Neittaanmäki, G.A. Leonov). After the defense, he has been working at the University of Jyväskylä as the Academy of Finland postdoc, then as a part-time professor at the IT Faculty: from 2014 he is Adjunct Docent and from 2017 – Visiting Professor. He is co-chair of the Finnish-Russian educational & research program organized in 2007 by the University of Jyväskylä and St. Petersburg University. As a recognition, University of Jyväskylä awarded him a medal for his distinguished merits in the field of applied mathematics and training doctoral students, in 2020 he got the Finnish Information Processing Association (TIVIA) award and was elected a foreign member of the Finnish Academy of Science and Letters (becoming its youngest foreign member at the time of election). In 2021, the joint educational & research program was expanded to include the Lappeenranta-Lahti University of Technology, where Kuznetsov was offered the position of Visiting Professor. The experience of the program he used in 2013 when organizing the first defenses to the Ph.D. degree granted by St. Petersburg University, instead of the Candidate of Sciences degrees awarded by the State Supreme Certification Commission.

Scientific work

Kuznetsov’s research interests are in dynamical systems and applied mathematics. In his works, a combination of rigorous analytical and reliable numerical methods allowed for both the advancement in solving previously known fundamental unsolved problems as well as the development of modern engineering technologies. N. Kuznetsov introduced the concept of self-excited and hidden attractors, laying out the foundations for the theory of hidden oscillations. Among his main results are the discovery of a hidden Chua attractor in Chua circuits, revealing of coexisting hidden attractors in electromechanical models with Sommerfeld effect, solutions to the Egan problem on the pull-in range, to the Gardner problem on the lock-in range, and to the Viterbi problem on the coincidence of phase-locked loop ranges for phase-locked loops, nonlinear analysis of the CP-PLL and validation of the Gardner conjecture, counterexamples with self-excited and hidden attractors to the classical describing function method, developed effective analytical-numerical methods for the construction of counterexamples to the Kalman conjecture on the absolute stability of control systems, provided justification of time-varying linearization and analysis of Perron effects of the Lyapunov exponent sign reversal, effective analytical-numerical method for the finite-time and exact Lyapunov dimension computation, and proof of the Eden conjecture for a number of dynamical systems. The Web of Science Group proclaimed Kuznetsov a Highly Cited Researcher in Russia twice over two consecutive years (2016-2017) and included him in the worldwide list of Highly Cited Researchers in 2019 (where he was among 3 scientists from St. Petersburg University and the only one from the University of Jyväskylä), 2020, and 2021. He was awarded the St. Petersburg University Prize in 2020, the Afraimovich Award of NSC society in 2021, and the Andronov Prize of the Russian Academy of Science in 2024 for the theory of hidden oscillations and stability of dynamical systems. In 2025, Nikolay V. Kuznetsov was awarded State Prize of the Russian Federation in the sphere of Science and Technology (the highest scientific award of the Russian Federation) for creating and developing a new scientific field - the theory of hidden oscillations.

… excerpt ends here. Continue reading the full article.

Illustrations

Nikolay V. Kuznetsov illustration
Nikolay V. Kuznetsov: Medal of the University of Jyväskylä is awarded to Prof. Kuznetsov (2017).
Medal of the University of Jyväskylä is awarded to Prof. Kuznetsov (2017).
Nikolay V. Kuznetsov: Afraimovich Award granted to N. Kuznetsov for The theory of hidden oscillations and stability of dynamical systems (2021)
Afraimovich Award granted to N. Kuznetsov for The theory of hidden oscillations and stability of dynamical systems (2021)

Worked examples

Example 1 — a first encounter with Nikolay V. Kuznetsov

Start with the simplest possible case. Write down what Nikolay V. Kuznetsov claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Nikolay V. Kuznetsov before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Nikolay V. Kuznetsov ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Nikolay V. Kuznetsov

In research
Nikolay V. Kuznetsov appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Nikolay V. Kuznetsov in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Nikolay V. Kuznetsov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1979 births, Chaos theorists, Hidden oscillation, so understanding it makes those chapters shorter.
In everyday life
Look for Nikolay V. Kuznetsov outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Nikolay V. Kuznetsov in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Nikolay V. Kuznetsov means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Nikolay V. Kuznetsov out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Nikolay V. Kuznetsov in simple terms?

Nikolay Vladimirovich Kuznetsov (Russian: Николай Владимирович Кузнецов; born 13 May 1979 in Leningrad, USSR) is a specialist in nonlinear dynamics and control theory, and the founder of the theory of hidden oscillations. Academic career He graduated from the St.

Why does Nikolay V. Kuznetsov matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Nikolay V. Kuznetsov?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Nikolay V. Kuznetsov.

Tags

  • 1979 births
  • Chaos theorists
  • Hidden oscillation
  • Living people
  • Members of the Finnish Academy of Science and Letters
  • Saint Petersburg State University alumni
  • University of Jyväskylä alumni

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