Mandrysz, Michał; Dybiec, Bartłomiej Energy partition for anharmonic, undamped, classical oscillators. (English) Zbl 1514.81186 J. Phys. A, Math. Theor. 53, No. 19, Article ID 195001, 9 p. (2020). MSC: 81S30 34C15 81Q05 PDFBibTeX XMLCite \textit{M. Mandrysz} and \textit{B. Dybiec}, J. Phys. A, Math. Theor. 53, No. 19, Article ID 195001, 9 p. (2020; Zbl 1514.81186) Full Text: DOI arXiv
Ma, Shao-Qiang; Zheng, Xiao; Zhang, Guo-Feng Phase anti-synchronization dynamics between mechanical oscillator and atomic ensemble within a Fabry-Perot cavity. (English) Zbl 1508.81863 Quantum Inf. Process. 19, No. 5, Paper No. 152, 15 p. (2020). MSC: 81Q80 PDFBibTeX XMLCite \textit{S.-Q. Ma} et al., Quantum Inf. Process. 19, No. 5, Paper No. 152, 15 p. (2020; Zbl 1508.81863) Full Text: DOI arXiv
Campa, Alessandro Phase diagram of noisy systems of coupled oscillators with a bimodal frequency distribution. (English) Zbl 1514.82155 J. Phys. A, Math. Theor. 53, No. 15, Article ID 154001, 28 p. (2020). MSC: 82C31 34C15 PDFBibTeX XMLCite \textit{A. Campa}, J. Phys. A, Math. Theor. 53, No. 15, Article ID 154001, 28 p. (2020; Zbl 1514.82155) Full Text: DOI arXiv
Fadeev, S. I. Numerical study of nonlinear oscillations in a clock frequency MEMS-generator. (Russian. English summary) Zbl 07630613 Sib. Zh. Ind. Mat. 23, No. 2, 133-147 (2020); translation in J. Appl. Ind. Math. 14, No. 2, 296-307 (2020). MSC: 65-XX 34C15 34C05 PDFBibTeX XMLCite \textit{S. I. Fadeev}, Sib. Zh. Ind. Mat. 23, No. 2, 133--147 (2020; Zbl 07630613); translation in J. Appl. Ind. Math. 14, No. 2, 296--307 (2020) Full Text: DOI MNR
Al-Darabsah, Isam; Campbell, Sue Ann A phase model with large time delayed coupling. (English) Zbl 1496.34110 Physica D 411, Article ID 132559, 17 p. (2020). MSC: 34K24 34K20 34K18 PDFBibTeX XMLCite \textit{I. Al-Darabsah} and \textit{S. A. Campbell}, Physica D 411, Article ID 132559, 17 p. (2020; Zbl 1496.34110) Full Text: DOI arXiv
Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia Non-existence, existence, and uniqueness of limit cycles for a generalization of the van der Pol-Duffing and the Rayleigh-Duffing oscillators. (English) Zbl 1496.34062 Physica D 407, Article ID 132458, 4 p. (2020). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C15 34C23 34B30 PDFBibTeX XMLCite \textit{M. R. Cândido} et al., Physica D 407, Article ID 132458, 4 p. (2020; Zbl 1496.34062) Full Text: DOI
Ehigie, J. O.; Okunuga, S. A. Modified splitting and composition methods by phase-fitting for simulating biological oscillators. (English) Zbl 1476.65128 J. Niger. Math. Soc. 39, No. 1, 79-96 (2020). MSC: 65L05 65L06 92-10 PDFBibTeX XMLCite \textit{J. O. Ehigie} and \textit{S. A. Okunuga}, J. Niger. Math. Soc. 39, No. 1, 79--96 (2020; Zbl 1476.65128) Full Text: Link
Maeda, Guilherme; Koç, Okan; Morimoto, Jun Phase portraits as movement primitives for fast humanoid robot control. (English) Zbl 1478.93450 Neural Netw. 129, 109-122 (2020). MSC: 93C85 68T40 PDFBibTeX XMLCite \textit{G. Maeda} et al., Neural Netw. 129, 109--122 (2020; Zbl 1478.93450) Full Text: DOI arXiv
Hövel, Philipp; Viol, Aline; Loske, Philipp; Merfort, Leon; Vuksanović, Vesna Synchronization in functional networks of the human brain. (English) Zbl 1466.92008 J. Nonlinear Sci. 30, No. 5, 2259-2282 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 92B25 92B20 34C15 PDFBibTeX XMLCite \textit{P. Hövel} et al., J. Nonlinear Sci. 30, No. 5, 2259--2282 (2020; Zbl 1466.92008) Full Text: DOI Link
Ferguson, Timothy Volume bounds for the phase-locking region in the Kuramoto model with asymmetric coupling. (English) Zbl 1467.34040 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2322-2342 (2020). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34D20 34D06 05C20 PDFBibTeX XMLCite \textit{T. Ferguson}, SIAM J. Appl. Dyn. Syst. 19, No. 4, 2322--2342 (2020; Zbl 1467.34040) Full Text: DOI arXiv
Khiari, Leila; Boudjedaa, Tahar; Makhlouf, Abdenacer; Meftah, Mohammed Tayeb Berry phase for time-dependent coupled harmonic oscillators in the noncommutative phase space via path integral techniques. (English) Zbl 07334070 J. Sib. Fed. Univ., Math. Phys. 13, No. 1, 58-70 (2020). MSC: 81Sxx 70Hxx PDFBibTeX XMLCite \textit{L. Khiari} et al., J. Sib. Fed. Univ., Math. Phys. 13, No. 1, 58--70 (2020; Zbl 07334070) Full Text: MNR
Kuelbs, Daniel; Dunefsky, Jacob; Monga, Bharat; Moehlis, Jeff Analysis of neural clusters due to deep brain stimulation pulses. (English) Zbl 1460.92097 Biol. Cybern. 114, No. 6, 589-607 (2020). MSC: 92C50 92B20 PDFBibTeX XMLCite \textit{D. Kuelbs} et al., Biol. Cybern. 114, No. 6, 589--607 (2020; Zbl 1460.92097) Full Text: DOI arXiv
Smirnov, Valeri V.; Manevitch, Leonid I. Complex envelope variable approximation in nonlinear dynamics. (English) Zbl 1470.70029 Russ. J. Nonlinear Dyn. 16, No. 3, 491-515 (2020). MSC: 70K70 34C15 34E10 37J99 PDFBibTeX XMLCite \textit{V. V. Smirnov} and \textit{L. I. Manevitch}, Russ. J. Nonlinear Dyn. 16, No. 3, 491--515 (2020; Zbl 1470.70029) Full Text: DOI arXiv MNR
de Oliveira, J. F.; Abud, C. V. Nonmonotonic critical threshold in the Kuramoto model. (English) Zbl 1453.92030 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105428, 8 p. (2020). MSC: 92B25 PDFBibTeX XMLCite \textit{J. F. de Oliveira} and \textit{C. V. Abud}, Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105428, 8 p. (2020; Zbl 1453.92030) Full Text: DOI
Shirasaka, Sho; Kurebayashi, Wataru; Nakao, Hiroya Phase-amplitude reduction of limit cycling systems. (English) Zbl 1453.93035 Mauroy, Alexandre (ed.) et al., The Koopman operator in systems and control. Concepts, methodologies and applications. Cham: Springer. Lect. Notes Control Inf. Sci. 484, 383-417 (2020). MSC: 93B11 93B28 PDFBibTeX XMLCite \textit{S. Shirasaka} et al., Lect. Notes Control Inf. Sci. 484, 383--417 (2020; Zbl 1453.93035) Full Text: DOI
Ding, Zhiyuan; Jiao, Xianfa Synchronization of neuronal population under probabilistic coupling. (Chinese. English summary) Zbl 1463.34221 J. Hefei Univ. Technol., Nat. Sci. 43, No. 1, 141-144 (2020). MSC: 34D06 92B25 92B20 34F05 34C15 37C60 34C25 PDFBibTeX XMLCite \textit{Z. Ding} and \textit{X. Jiao}, J. Hefei Univ. Technol., Nat. Sci. 43, No. 1, 141--144 (2020; Zbl 1463.34221)
Yeldesbay, Azamat; Daun, Silvia Intra- and intersegmental neural network architectures determining rhythmic motor activity in insect locomotion. (English) Zbl 1451.92033 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105078, 21 p. (2020). MSC: 92B20 35Q92 PDFBibTeX XMLCite \textit{A. Yeldesbay} and \textit{S. Daun}, Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105078, 21 p. (2020; Zbl 1451.92033) Full Text: DOI
Castejón, Oriol; Guillamon, Antoni Phase-amplitude dynamics in terms of extended response functions: invariant curves and Arnold tongues. (English) Zbl 1467.37078 Commun. Nonlinear Sci. Numer. Simul. 81, Article ID 105008, 22 p. (2020). MSC: 37M21 37M05 37D10 34C15 70K40 PDFBibTeX XMLCite \textit{O. Castejón} and \textit{A. Guillamon}, Commun. Nonlinear Sci. Numer. Simul. 81, Article ID 105008, 22 p. (2020; Zbl 1467.37078) Full Text: DOI Link
Kirillov, S. Yu.; Klinshov, V. V.; Nekorkin, V. I. The role of timescale separation in oscillatory ensembles with competitive coupling. (English) Zbl 1484.34098 Chaos 30, No. 5, 051101, 8 p. (2020). Reviewer: Serhiy Yanchuk (Berlin) MSC: 34C15 34D06 34E15 PDFBibTeX XMLCite \textit{S. Yu. Kirillov} et al., Chaos 30, No. 5, 051101, 8 p. (2020; Zbl 1484.34098) Full Text: DOI
Wilson, Dan Optimal open-loop desynchronization of neural oscillator populations. (English) Zbl 1447.92208 J. Math. Biol. 81, No. 1, 25-64 (2020). MSC: 92C50 92B25 92C20 34C15 PDFBibTeX XMLCite \textit{D. Wilson}, J. Math. Biol. 81, No. 1, 25--64 (2020; Zbl 1447.92208) Full Text: DOI
Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J. Weakly nonlinear theory for oscillatory dynamics in a one-dimensional PDE-ODE model of membrane dynamics coupled by a bulk diffusion field. (English) Zbl 1446.37071 SIAM J. Appl. Math. 80, No. 3, 1520-1545 (2020). MSC: 37M20 65P30 35B36 35B35 34C15 74K15 70K55 70K50 PDFBibTeX XMLCite \textit{F. Paquin-Lefebvre} et al., SIAM J. Appl. Math. 80, No. 3, 1520--1545 (2020; Zbl 1446.37071) Full Text: DOI arXiv
Ha, Seung-Yeal; Ryoo, Sang Woo Asymptotic phase-locking dynamics and critical coupling strength for the Kuramoto model. (English) Zbl 1447.34040 Commun. Math. Phys. 377, No. 2, 811-857 (2020); correction ibid. 403, No. 3, 1627 (2023). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34D06 34D20 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{S. W. Ryoo}, Commun. Math. Phys. 377, No. 2, 811--857 (2020; Zbl 1447.34040) Full Text: DOI arXiv
Meylahn, J. M. Two-community noisy Kuramoto model. (English) Zbl 1445.60077 Nonlinearity 33, No. 4, 1847-1880 (2020). MSC: 60K35 82B20 82C27 35B32 PDFBibTeX XMLCite \textit{J. M. Meylahn}, Nonlinearity 33, No. 4, 1847--1880 (2020; Zbl 1445.60077) Full Text: DOI arXiv
Bressloff, Paul C.; MacLaurin, James N. Phase reduction of stochastic biochemical oscillators. (English) Zbl 1433.92015 SIAM J. Appl. Dyn. Syst. 19, No. 1, 151-180 (2020). MSC: 92C42 92C45 92C40 34C15 PDFBibTeX XMLCite \textit{P. C. Bressloff} and \textit{J. N. MacLaurin}, SIAM J. Appl. Dyn. Syst. 19, No. 1, 151--180 (2020; Zbl 1433.92015) Full Text: DOI arXiv Link
Bronski, Jared C.; Carty, Thomas E.; Simpson, Sarah E. A matrix-valued Kuramoto model. (English) Zbl 1436.34032 J. Stat. Phys. 178, No. 2, 595-624 (2020). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34D06 82C10 PDFBibTeX XMLCite \textit{J. C. Bronski} et al., J. Stat. Phys. 178, No. 2, 595--624 (2020; Zbl 1436.34032) Full Text: DOI arXiv
Benterki, Rebiha; Llibre, Jaume The centers and their cyclicity for a class of polynomial differential systems of degree 7. (English) Zbl 1430.34043 J. Comput. Appl. Math. 368, Article ID 112456, 16 p. (2020). MSC: 34C15 34C25 PDFBibTeX XMLCite \textit{R. Benterki} and \textit{J. Llibre}, J. Comput. Appl. Math. 368, Article ID 112456, 16 p. (2020; Zbl 1430.34043) Full Text: DOI
Kim, Jinkyu; Lee, Hyeonseok; Shin, Jinwon Extended framework of Hamilton’s principle applied to Duffing oscillation. (English) Zbl 1433.70033 Appl. Math. Comput. 367, Article ID 124762, 17 p. (2020). MSC: 70H25 34C15 37N05 70K50 70K05 PDFBibTeX XMLCite \textit{J. Kim} et al., Appl. Math. Comput. 367, Article ID 124762, 17 p. (2020; Zbl 1433.70033) Full Text: DOI arXiv
Omel’chenko, O. E. Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling. (English) Zbl 1431.34048 Nonlinearity 33, No. 2, 611-642 (2020). MSC: 34C15 92B20 45J05 34C14 34D99 34C23 PDFBibTeX XMLCite \textit{O. E. Omel'chenko}, Nonlinearity 33, No. 2, 611--642 (2020; Zbl 1431.34048) Full Text: DOI