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Krivonosov MI, Kondakova EV, Bulanov NA, Polevaya SA, Franceschi C, Ivanchenko MV, Vedunova MV. Correction to: A new cognitive clock matching phenotypic and epigenetic ages. Transl Psychiatry 2022; 12:452. [PMID: 36261412 PMCID: PMC9582201 DOI: 10.1038/s41398-022-02219-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Key Words] [Track Full Text] [Download PDF] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/24/2022] Open
Affiliation(s)
- M. I. Krivonosov
- grid.28171.3d0000 0001 0344 908XInstitute of Biology and Biomedicine, Department of Neurotechnology, N. I. Lobachevsky State University, Nizhny Novgorod, Russia ,grid.28171.3d0000 0001 0344 908XInstitute of Information Technology, Mathematics and Mechanics, Department of Applied Mathematics, N. I. Lobachevsky State University, Nizhny Novgorod, Russia ,grid.454315.20000 0004 0619 3712Research Center for Trusted Artificial Intelligence, The Ivannikov Institute for System Programming of the Russian Academy of Sciences, Moscow, 109004 Russia
| | - E. V. Kondakova
- grid.454315.20000 0004 0619 3712Research Center for Trusted Artificial Intelligence, The Ivannikov Institute for System Programming of the Russian Academy of Sciences, Moscow, 109004 Russia ,grid.28171.3d0000 0001 0344 908XInstitute of Biology and Biomedicine, Department of Basic and Medical Genetics, N. I. Lobachevsky State University, Nizhny Novgorod, Russia
| | - N. A. Bulanov
- grid.410682.90000 0004 0578 2005Faculty of Computer Science, School of Data Analysis and Artificial Intelligence, HSE University, Moscow, Russia
| | - S. A. Polevaya
- grid.28171.3d0000 0001 0344 908XFaculty of Social Sciences, Department of Psychophysiology, N. I. Lobachevsky State University, Nizhny Novgorod, Russia
| | - C. Franceschi
- grid.28171.3d0000 0001 0344 908XInstitute of Information Technology, Mathematics and Mechanics, Department of Applied Mathematics, N. I. Lobachevsky State University, Nizhny Novgorod, Russia ,grid.454315.20000 0004 0619 3712Research Center for Trusted Artificial Intelligence, The Ivannikov Institute for System Programming of the Russian Academy of Sciences, Moscow, 109004 Russia ,grid.6292.f0000 0004 1757 1758Department of Experimental, Diagnostic, and Specialty Medicine (DIMES), University of Bologna, Bologna, Italy
| | - M. V. Ivanchenko
- grid.28171.3d0000 0001 0344 908XInstitute of Information Technology, Mathematics and Mechanics, Department of Applied Mathematics, N. I. Lobachevsky State University, Nizhny Novgorod, Russia ,grid.454315.20000 0004 0619 3712Research Center for Trusted Artificial Intelligence, The Ivannikov Institute for System Programming of the Russian Academy of Sciences, Moscow, 109004 Russia
| | - M. V. Vedunova
- grid.454315.20000 0004 0619 3712Research Center for Trusted Artificial Intelligence, The Ivannikov Institute for System Programming of the Russian Academy of Sciences, Moscow, 109004 Russia ,grid.28171.3d0000 0001 0344 908XInstitute of Biology and Biomedicine, Department of Basic and Medical Genetics, N. I. Lobachevsky State University, Nizhny Novgorod, Russia
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Yusipov II, Ivanchenko MV. Quantum Lyapunov exponents and complex spacing ratios: Two measures of dissipative quantum chaos. Chaos 2022; 32:043106. [PMID: 35489867 DOI: 10.1063/5.0082046] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/12/2021] [Accepted: 03/15/2022] [Indexed: 06/14/2023]
Abstract
The agenda of dissipative quantum chaos is to create a toolbox that would allow us to categorize open quantum systems into "chaotic" and "regular" ones. Two approaches to this categorization have been proposed recently. One of them is based on the spectral properties of generators of open quantum evolution. The other one utilizes the concept of Lyapunov exponents to analyze quantum trajectories obtained by unraveling this evolution. By using two quantum models, we relate the two approaches and try to understand whether there is an agreement between the corresponding categorizations. Our answer is affirmative.
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Affiliation(s)
- I I Yusipov
- Department of Applied Mathematics, Lobachevsky University, 603950 Nizhny Novgorod, Russia
| | - M V Ivanchenko
- Department of Applied Mathematics, Lobachevsky University, 603950 Nizhny Novgorod, Russia
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Kondakova EV, Vershinina OS, Lopatenko MV, Franceschi C, Ivanchenko MV, Vedunova MV. Sex-Specific Age-Related Changes in Methylation of Certain Genes. Sovrem Tekhnologii Med 2021; 13:26-31. [PMID: 34603752 PMCID: PMC8482819 DOI: 10.17691/stm2021.13.3.03] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/21/2021] [Indexed: 11/30/2022] Open
Abstract
The aim of the study was to conduct a functional analysis of sex-specific age-related changes in DNA methylation.
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Affiliation(s)
- E V Kondakova
- Assistant, Department of General and Medical Genetics, Institute of Biology and Biomedicine; National Research Lobachevsky State University of Nizhni Novgorod, 23 Prospekt Gagarina, Nizhny Novgorod, 603950, Russia
| | - O S Vershinina
- Junior Researcher, Department of Applied Mathematics, Institute of Information Technologies, Mathematics and Mechanics; National Research Lobachevsky State University of Nizhni Novgorod, 23 Prospekt Gagarina, Nizhny Novgorod, 603950, Russia
| | - M V Lopatenko
- Student, Institute of Biology and Biomedicine; National Research Lobachevsky State University of Nizhni Novgorod, 23 Prospekt Gagarina, Nizhny Novgorod, 603950, Russia
| | - C Franceschi
- Professor Emeritus, Senior Researcher, Photonics Center, Department of Fundamental and Applied Research; National Research Lobachevsky State University of Nizhni Novgorod, 23 Prospekt Gagarina, Nizhny Novgorod, 603950, Russia; Mater Studiorum; University of Bologna, 33 Via Zamboni, Bologna, 40126, Italy
| | - M V Ivanchenko
- Head of the Department of Applied Mathematics, Institute of Information Technologies, Mathematics and Mechanics; National Research Lobachevsky State University of Nizhni Novgorod, 23 Prospekt Gagarina, Nizhny Novgorod, 603950, Russia
| | - M V Vedunova
- Head of the Department of General and Medical Genetics, Institute of Biology and Biomedicine; National Research Lobachevsky State University of Nizhni Novgorod, 23 Prospekt Gagarina, Nizhny Novgorod, 603950, Russia; Director of the Institute of Biology and Biomedicine; National Research Lobachevsky State University of Nizhni Novgorod, 23 Prospekt Gagarina, Nizhny Novgorod, 603950, Russia
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Yusipov II, Denisov SV, Ivanchenko MV. Chaotic spin-photonic quantum states in an open periodically modulated cavity. Chaos 2021; 31:013112. [PMID: 33754782 DOI: 10.1063/5.0030260] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/21/2020] [Accepted: 12/16/2020] [Indexed: 06/12/2023]
Abstract
When applied to dynamical systems, both classical and quantum, time periodic modulations can produce complex non-equilibrium states which are often termed "chaotic." Being well understood within the unitary Hamiltonian framework, this phenomenon is less explored in open quantum systems. Here, we consider quantum chaotic states emerging in a leaky cavity when the intracavity photonic mode is coherently pumped with the pumping intensity varying periodically in time. We show that a single spin when placed inside the cavity and coupled to the mode can moderate transitions between regular and chaotic regimes-that are identified by using quantum Lyapunov exponents or features of photon emission statistics-and thus can be used to control the degree of chaos.
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Affiliation(s)
- I I Yusipov
- Department of Applied Mathematics, Lobachevsky University, 603950 Nizhny Novgorod, Russia
| | - S V Denisov
- Mathematical Center, Lobachevsky University, 603950 Nizhni Novgorod, Russia
| | - M V Ivanchenko
- Department of Applied Mathematics, Lobachevsky University, 603950 Nizhny Novgorod, Russia
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Yusipov II, Vershinina OS, Denisov SV, Ivanchenko MV. Photon waiting-time distributions: A keyhole into dissipative quantum chaos. Chaos 2020; 30:023107. [PMID: 32113249 DOI: 10.1063/1.5127936] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/14/2019] [Accepted: 01/14/2020] [Indexed: 06/10/2023]
Abstract
Open quantum systems can exhibit complex states, for which classification and quantification are still not well resolved. The Kerr-nonlinear cavity, periodically modulated in time by coherent pumping of the intracavity photonic mode, is one of the examples. Unraveling the corresponding Markovian master equation into an ensemble of quantum trajectories and employing the recently proposed calculation of quantum Lyapunov exponents [I. I. Yusipov et al., Chaos 29, 063130 (2019)], we identify "chaotic" and "regular" regimes there. In particular, we show that chaotic regimes manifest an intermediate power-law asymptotics in the distribution of photon waiting times. This distribution can be retrieved by monitoring photon emission with a single-photon detector so that chaotic and regular states can be discriminated without disturbing the intracavity dynamics.
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Affiliation(s)
- I I Yusipov
- Department of Applied Mathematics, Lobachevsky University, 603950 Nizhny Novgorod, Russia
| | - O S Vershinina
- Department of Applied Mathematics, Lobachevsky University, 603950 Nizhny Novgorod, Russia
| | - S V Denisov
- Department of Computer Science, Oslo Metropolitan University, N-0130 Oslo, Norway
| | - M V Ivanchenko
- Department of Applied Mathematics, Lobachevsky University, 603950 Nizhny Novgorod, Russia
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Abstract
Recently, it has been demonstrated that asymptotic states of open quantum system can undergo qualitative changes resembling pitchfork, saddle-node, and period doubling classical bifurcations. Here, making use of the periodically modulated open quantum dimer model, we report and investigate a quantum Neimark-Sacker bifurcation. Its classical counterpart is the birth of a torus (an invariant curve in the Poincaré section) due to instability of a limit cycle (fixed point of the Poincaré map). The quantum system exhibits a transition from unimodal to bagel shaped stroboscopic distributions, as for Husimi representation, as for observables. The spectral properties of Floquet map experience changes reminiscent of the classical case, a pair of complex conjugated eigenvalues approaching a unit circle. Quantum Monte-Carlo wave function unraveling of the Lindblad master equation yields dynamics of single trajectories on “quantumtorus” and allows for quantifying it by rotation number. The bifurcation is sensitive to the number of quantum particles that can also be regarded as a control parameter.
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Affiliation(s)
- I I Yusipov
- Department of Applied Mathematics, Lobachevsky University, Nizhny Novgorod, Russia
| | - M V Ivanchenko
- Department of Applied Mathematics, Lobachevsky University, Nizhny Novgorod, Russia.
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Yusipov II, Vershinina OS, Denisov S, Kuznetsov SP, Ivanchenko MV. Quantum Lyapunov exponents beyond continuous measurements. Chaos 2019; 29:063130. [PMID: 31266336 DOI: 10.1063/1.5094324] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/28/2019] [Accepted: 06/10/2019] [Indexed: 06/09/2023]
Abstract
Quantum systems, when interacting with their environments, may exhibit nonequilibrium states that are tempting to be interpreted as quantum analogs of chaotic attractors. However, different from the Hamiltonian case, the toolbox for quantifying dissipative quantum chaos remains limited. In particular, quantum generalizations of Lyapunov exponents, the main quantifiers of classical chaos, are established only within the framework of continuous measurements. We propose an alternative generalization based on the unraveling of quantum master equation into an ensemble of "quantum trajectories," by using the so-called Monte Carlo wave-function method. We illustrate the idea with a periodically modulated open quantum dimer and demonstrate that the transition to quantum chaos matches the period-doubling route to chaos in the corresponding mean-field system.
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Affiliation(s)
- I I Yusipov
- Department of Applied Mathematics, Lobachevsky University, Nizhny Novgorod 603950, Russia
| | - O S Vershinina
- Department of Applied Mathematics, Lobachevsky University, Nizhny Novgorod 603950, Russia
| | - S Denisov
- Department of Computer Science, Oslo Metropolitan University, Oslo N-0130, Norway
| | - S P Kuznetsov
- Kotelnikovs Institute of Radio-Engineering and Electronics of RAS, Saratov 410019, Russia
| | - M V Ivanchenko
- Department of Applied Mathematics, Lobachevsky University, Nizhny Novgorod 603950, Russia
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Polovinkin AN, Krylov IB, Druzhkov PN, Ivanchenko MV, Meyerov IB, Zaikin AA, Zolotykh NY. Solving problems of clustering and classification of cancer diseases based on DNA methylation data. Pattern Recognit Image Anal 2016. [DOI: 10.1134/s1054661816010181] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Ivanchenko MV, Laptyeva TV, Flach S. Anderson localization or nonlinear waves: a matter of probability. Phys Rev Lett 2011; 107:240602. [PMID: 22242983 DOI: 10.1103/physrevlett.107.240602] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/03/2011] [Indexed: 05/31/2023]
Abstract
In linear disordered systems Anderson localization makes any wave packet stay localized for all times. Its fate in nonlinear disordered systems (localization versus propagation) is under intense theoretical debate and experimental study. We resolve this dispute showing that, unlike in the common hypotheses, the answer is probabilistic rather than exclusive. At any small but finite nonlinearity (energy) value there is a finite probability for Anderson localization to break up and propagating nonlinear waves to take over. It increases with nonlinearity (energy) and reaches unity at a certain threshold, determined by the initial wave packet size. Moreover, the spreading probability stays finite also in the limit of infinite packet size at fixed total energy. These results generalize to higher dimensions as well.
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Affiliation(s)
- M V Ivanchenko
- Theory of Oscillations Department, University of Nizhniy Novgorod, Nizhniy Novgorod, Russia
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Ivanchenko MV. q Breathers in finite lattices: nonlinearity and weak disorder. Phys Rev Lett 2009; 102:175507. [PMID: 19518797 DOI: 10.1103/physrevlett.102.175507] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/03/2008] [Indexed: 05/27/2023]
Abstract
Nonlinearity and disorder are the recognized ingredients of the lattice vibrational dynamics, the factors that could be diminished, but never excluded. We generalize the concept of q breathers-periodic orbits in nonlinear lattices, exponentially localized in the linear mode space-to the case of weak disorder, taking the Fermi-Pasta-Ulan chain as an example. We show that these nonlinear vibrational modes remain exponentially localized near the central mode and stable, provided the disorder is sufficiently small. The instability threshold depends sensitively on a particular realization of disorder and can be modified by specifically designed impurities. Based on this sensitivity, an approach to controlling the energy flow between the modes is proposed. The relevance to other model lattices and experimental miniature arrays is discussed.
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Affiliation(s)
- M V Ivanchenko
- Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, United Kingdom
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Ivanchenko MV, Kanakov OI, Mishagin KG, Flach S. q-Breathers in finite two- and three-dimensional nonlinear acoustic lattices. Phys Rev Lett 2006; 97:025505. [PMID: 16907458 DOI: 10.1103/physrevlett.97.025505] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/28/2006] [Indexed: 05/11/2023]
Abstract
In their celebrated experiment, Fermi, Pasta, and Ulam (FPU) [Los Alamos Report No. LA-1940, 1955] observed that in simple one-dimensional nonlinear atomic chains the energy must not always be equally shared among the modes. Recently, it was shown that exact and stable time-periodic orbits, coined q-breathers (QBs), localize the mode energy in normal mode space in an exponential way, and account for many aspects of the FPU problem. Here we take the problem into more physically important cases of two- and three-dimensional acoustic lattices to find existence and principally different features of QBs. By use of perturbation theory and numerical calculations we obtain that the localization and stability of QBs are enhanced with increasing system size in higher lattice dimensions opposite to their one-dimensional analogues.
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Affiliation(s)
- M V Ivanchenko
- Department of Radiophysics, Nizhny Novgorod University, Gagarin Avenue 23, 603950 Nizhny Novgorod, Russia
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Flach S, Ivanchenko MV, Kanakov OI. q-breathers in Fermi-Pasta-Ulam chains: existence, localization, and stability. Phys Rev E Stat Nonlin Soft Matter Phys 2006; 73:036618. [PMID: 16605688 DOI: 10.1103/physreve.73.036618] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/30/2005] [Indexed: 05/08/2023]
Abstract
The Fermi-Pasta-Ulam (FPU) problem consists of the nonequipartition of energy among normal modes of a weakly anharmonic atomic chain model. In the harmonic limit, each normal mode corresponds to a periodic orbit in phase space and is characterized by its wave number q. We continue normal modes from the harmonic limit into the FPU parameter regime and obtain persistence of these periodic orbits, termed here q-breathers (QB). They are characterized by time periodicity, exponential localization in the q-space of normal modes, and linear stability up to a size-dependent threshold amplitude. Trajectories computed in the original FPU setting are perturbations around these exact QB solutions. The QB concept is applicable to other nonlinear lattices as well.
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Affiliation(s)
- S Flach
- Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
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Abstract
The Fermi-Pasta-Ulam (FPU) paradox consists of the non-equipartition of energy among normal modes of a weakly anharmonic atomic chain model. In the harmonic limit each normal mode corresponds to a periodic orbit in phase space and is characterized by its wave number q. We continue normal modes from the harmonic limit into the FPU parameter regime and obtain persistence of these periodic orbits, termed here q-breathers (QB). They are characterized by time periodicity, exponential localization in the q-space of normal modes and linear stability up to a size-dependent threshold amplitude. Trajectories computed in the original FPU setting are perturbations around these exact QB solutions. The QB concept is applicable to other nonlinear lattices as well.
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Affiliation(s)
- S Flach
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
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