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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 2, Pages 243–253
DOI: https://doi.org/10.4213/tmf8720 (Mi tmf8720) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Synchronization in a nonisochronous nonautonomous system

L. A. Kalyakin

Institute of Mathematics with Computer Center, RAS, Ufa, Russia
Full-text PDF (402 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8720
Abstract: We study a model system of nonautonomous nonlinear differential equations arising in magnetodynamics theory. We find constraints on the parameters such that Lyapunov-stable solutions with a stabilized phase exist. These solutions describe the synchronization phenomenon in a nonisochronous system with slowly varying parameters.
Keywords: nonlinear oscillation, asymptotic behavior, synchronization, stability.
Received: 30.05.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 2, Pages 1339–1348
DOI: https://doi.org/10.1007/s11232-014-0216-4
Bibliographic databases:
Language: Russian
Citation: L. A. Kalyakin, “Synchronization in a nonisochronous nonautonomous system”, TMF, 181:2 (2014), 243–253; Theoret. and Math. Phys., 181:2 (2014), 1339–1348
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8720
  • https://www.mathnet.ru/eng/tmf/v181/i2/p243
    • This publication is cited in the following 8 articles:
    1. Oskar A. Sultanov, “Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise”, SIAM J. Appl. Dyn. Syst., 22:3 (2023), 1818  crossref
    2. Oskar A. Sultanov, “Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation”, DCDS-B, 28:3 (2023), 1719  crossref
    3. Oskar A. Sultanov, “Bifurcations in Asymptotically Autonomous Hamiltonian Systems Subject to Multiplicative Noise”, Int. J. Bifurcation Chaos, 32:11 (2022)  crossref
    4. Oskar A Sultanov, “Stability and bifurcation phenomena in asymptotically Hamiltonian systems”, Nonlinearity, 35:5 (2022), 2513  crossref
    5. Sultanov O.A., “Bifurcations in Asymptotically Autonomous Hamiltonian Systems Under Oscillatory Perturbations”, Discret. Contin. Dyn. Syst., 41:12 (2021), 5943–5978  crossref  mathscinet  isi  scopus
    6. Sultanov O.A., “Damped Perturbations of Systems With Center-Saddle Bifurcation”, Int. J. Bifurcation Chaos, 31:09 (2021), 2150137  crossref  mathscinet  isi
    7. O. Sultanov, “Capture into parametric autoresonance in the presence of noise”, Commun. Nonlinear Sci. Numer. Simul., 75 (2019), 14–21  crossref  mathscinet  isi
    8. S. Ahadpour, A. Nemati, F. Mirmasoudi, N. Hematpour, “Projective synchronization of piecewise nonlinear chaotic maps”, Theoret. and Math. Phys., 197:3 (2018), 1856–1864  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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