Shi, Yangyang; Gao, Hongjun Homogenization for stochastic reaction-diffusion equations with singular perturbation term. (English) Zbl 07501100 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2401-2426 (2022). MSC: 60H15 70K70 37A25 35R60 35K57 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{H. Gao}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2401--2426 (2022; Zbl 07501100) Full Text: DOI OpenURL
Hong, Wei; Li, Shihu; Liu, Wei Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs. (English) Zbl 07486711 J. Differ. Equations 316, 94-135 (2022). Reviewer: David Prömel (Mannheim) MSC: 60H15 35R60 70K70 PDF BibTeX XML Cite \textit{W. Hong} et al., J. Differ. Equations 316, 94--135 (2022; Zbl 07486711) Full Text: DOI arXiv OpenURL
Shi, Yangyang; Gao, Hongjun Weak and strong averaging principle for a stochastic coupled fast-slow atmosphere-ocean model with non-Lipschitz Lévy noise. (English) Zbl 07482288 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112794, 34 p. (2022). MSC: 37N10 70K65 70K70 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{H. Gao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112794, 34 p. (2022; Zbl 07482288) Full Text: DOI OpenURL
Xu, Yong; Yang, Xiaoyu; Pei, Bin; Bai, Yuzhen Convergence of martingale solutions to the hybrid slow-fast system. (English) Zbl 07469804 J. Eng. Math. 132, Paper No. 20, 15 p. (2022). MSC: 70K70 60J25 60G51 PDF BibTeX XML Cite \textit{Y. Xu} et al., J. Eng. Math. 132, Paper No. 20, 15 p. (2022; Zbl 07469804) Full Text: DOI OpenURL
Han, Min; Pei, Bin An averaging principle for stochastic evolution equations with jumps and random time delays. (English) Zbl 07514373 AIMS Math. 6, No. 1, 39-51 (2021). MSC: 60H15 70K70 34C29 60J74 PDF BibTeX XML Cite \textit{M. Han} and \textit{B. Pei}, AIMS Math. 6, No. 1, 39--51 (2021; Zbl 07514373) Full Text: DOI OpenURL
Freidlin, M.; Koralov, L. Averaging in the case of multiple invariant measures for the fast system. (English) Zbl 07478653 Electron. J. Probab. 26, Paper No. 138, 17 p. (2021). MSC: 70K70 70K65 35B40 34C29 PDF BibTeX XML Cite \textit{M. Freidlin} and \textit{L. Koralov}, Electron. J. Probab. 26, Paper No. 138, 17 p. (2021; Zbl 07478653) Full Text: DOI arXiv OpenURL
Xu, Jie; Liu, Juanfang; Liu, Jicheng; Miao, Yu Strong averaging principle for two-time-scale stochastic McKean-Vlasov equations. (English) Zbl 1476.60105 Appl. Math. Optim. 84, Suppl. 1, S837-S867 (2021). MSC: 60H15 70K65 70K70 PDF BibTeX XML Cite \textit{J. Xu} et al., Appl. Math. Optim. 84, S837--S867 (2021; Zbl 1476.60105) Full Text: DOI OpenURL
Gao, Junrong; Li, Shihu; Sun, Xiaobin; Xie, Yingchao Averaging principle for slow-fast stochastic 2D Navier-Stokes equation driven by Lévy noise. (English) Zbl 1479.60127 Math. Methods Appl. Sci. 44, No. 7, 5475-5500 (2021). Reviewer: Dejun Luo (Beijing) MSC: 60H15 35Q30 70K70 35K57 35R60 60G40 PDF BibTeX XML Cite \textit{J. Gao} et al., Math. Methods Appl. Sci. 44, No. 7, 5475--5500 (2021; Zbl 1479.60127) Full Text: DOI OpenURL
Gao, Hongjun; Shi, Yangyang Averaging principle for a stochastic coupled fast-slow atmosphere-ocean model. (English) Zbl 1476.37098 J. Differ. Equations 298, 248-297 (2021). MSC: 37N10 60H15 70K65 70K70 86A10 PDF BibTeX XML Cite \textit{H. Gao} and \textit{Y. Shi}, J. Differ. Equations 298, 248--297 (2021; Zbl 1476.37098) Full Text: DOI OpenURL
Baspinar, E.; Avitabile, D.; Desroches, M. Canonical models for torus canards in elliptic bursters. (English) Zbl 1480.37057 Chaos 31, No. 6, 063129, 15 p. (2021). Reviewer: Jianhe Shen (Fuzhou) MSC: 37G05 37G10 34E17 70K70 PDF BibTeX XML Cite \textit{E. Baspinar} et al., Chaos 31, No. 6, 063129, 15 p. (2021; Zbl 1480.37057) Full Text: DOI arXiv OpenURL
Zhang, Miaorong; Zhang, Xiaofang; Bi, Qinsheng Slow-fast behaviors and their mechanism in a periodically excited dynamical system with double Hopf bifurcations. (English) Zbl 1477.70040 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 8, Article ID 2130022, 15 p. (2021). MSC: 70K50 70K65 70K70 34C23 34E15 37G15 PDF BibTeX XML Cite \textit{M. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 8, Article ID 2130022, 15 p. (2021; Zbl 1477.70040) Full Text: DOI OpenURL
Zhang, Yanjie; Qiao, Huijie; Duan, Jinqiao Effective filtering analysis for non-Gaussian dynamic systems. (English) Zbl 1470.60172 Appl. Math. Optim. 83, No. 1, 437-459 (2021). MSC: 60H10 37D10 70K70 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Appl. Math. Optim. 83, No. 1, 437--459 (2021; Zbl 1470.60172) Full Text: DOI arXiv OpenURL
Verheul, Nick; Crommelin, Daan Stochastic parametrization with VARX processes. (English) Zbl 1462.62556 Commun. Appl. Math. Comput. Sci. 16, No. 1, 33-57 (2021). MSC: 62M10 62F30 62J10 60G15 60H10 65C20 70K70 PDF BibTeX XML Cite \textit{N. Verheul} and \textit{D. Crommelin}, Commun. Appl. Math. Comput. Sci. 16, No. 1, 33--57 (2021; Zbl 1462.62556) Full Text: DOI arXiv OpenURL
Sun, Xiaobin; Xie, Longjie; Xie, Yingchao Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients. (English) Zbl 1453.60124 J. Differ. Equations 270, 476-504 (2021). Reviewer: Martin Ondreját (Praha) MSC: 60H15 70K70 PDF BibTeX XML Cite \textit{X. Sun} et al., J. Differ. Equations 270, 476--504 (2021; Zbl 1453.60124) Full Text: DOI arXiv OpenURL
Ge, Mengyan; Lu, Lulu; Xu, Ying; Mamatimin, Rozihajim; Pei, Qiming; Jia, Ya Vibrational mono-/bi-resonance and wave propagation in FitzHhugh-Nagumo neural systems under electromagnetic induction. (English) Zbl 1483.92037 Chaos Solitons Fractals 133, Article ID 109645, 10 p. (2020). MSC: 92C20 34F15 70K70 PDF BibTeX XML Cite \textit{M. Ge} et al., Chaos Solitons Fractals 133, Article ID 109645, 10 p. (2020; Zbl 1483.92037) Full Text: DOI OpenURL
Kristiansen, K. Uldall A new type of relaxation oscillation in a model with rate-and-state friction. (English) Zbl 07459752 Nonlinearity 33, No. 6, 2960-3037 (2020). MSC: 34E15 34A26 34C26 70K70 34C45 86A15 PDF BibTeX XML Cite \textit{K. U. Kristiansen}, Nonlinearity 33, No. 6, 2960--3037 (2020; Zbl 07459752) Full Text: DOI arXiv OpenURL
Nyman, Karl H. M.; Ashwin, Peter; Ditlevsen, Peter D. Bifurcation of critical sets and relaxation oscillations in singular fast-slow systems. (English) Zbl 07459749 Nonlinearity 33, No. 6, 2853-2904 (2020). MSC: 37G10 37G15 37G35 70K70 PDF BibTeX XML Cite \textit{K. H. M. Nyman} et al., Nonlinearity 33, No. 6, 2853--2904 (2020; Zbl 07459749) Full Text: DOI arXiv OpenURL
Chen, Zhenyang; Chen, Fangqi; Zhou, Liangqiang Slow-fast dynamics in the truss core sandwich plate under excitations with high and low frequencies. (English) Zbl 1481.74491 Appl. Math. Modelling 88, 382-395 (2020). MSC: 74K20 34C23 34E13 70K70 PDF BibTeX XML Cite \textit{Z. Chen} et al., Appl. Math. Modelling 88, 382--395 (2020; Zbl 1481.74491) Full Text: DOI OpenURL
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. High-order study of the canard explosion in an aircraft ground dynamics model. (English) Zbl 1459.34133 Nonlinear Dyn. 100, No. 2, 1079-1090 (2020). MSC: 34E17 70K70 PDF BibTeX XML Cite \textit{B.-W. Qin} et al., Nonlinear Dyn. 100, No. 2, 1079--1090 (2020; Zbl 1459.34133) Full Text: DOI OpenURL
Engel, Maximilian; Jardón-Kojakhmetov, Hildeberto Extended and symmetric loss of stability for canards in planar fast-slow maps. (English) Zbl 1478.37054 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2530-2566 (2020). Reviewer: Fengqin Zhang (Yuncheng) MSC: 37G10 34E15 70K70 39A12 39A28 39A30 65L06 PDF BibTeX XML Cite \textit{M. Engel} and \textit{H. Jardón-Kojakhmetov}, SIAM J. Appl. Dyn. Syst. 19, No. 4, 2530--2566 (2020; Zbl 1478.37054) Full Text: DOI arXiv OpenURL
Li, Xianghong; Tang, Jianhua; Wang, Yanli; Shen, Yongjun Approximate analytical solution in slow-fast system based on modified multi-scale method. (English) Zbl 1457.70027 AMM, Appl. Math. Mech., Engl. Ed. 41, No. 4, 605-622 (2020). MSC: 70K70 34E13 34C15 PDF BibTeX XML Cite \textit{X. Li} et al., AMM, Appl. Math. Mech., Engl. Ed. 41, No. 4, 605--622 (2020; Zbl 1457.70027) Full Text: DOI OpenURL
Gao, Peng Averaging principle for multiscale stochastic fractional Schrödinger-Korteweg-de Vries system. (English) Zbl 1465.60059 J. Stat. Phys. 181, No. 5, 1781-1816 (2020). MSC: 60H15 35Q55 70K65 70K70 PDF BibTeX XML Cite \textit{P. Gao}, J. Stat. Phys. 181, No. 5, 1781--1816 (2020; Zbl 1465.60059) Full Text: DOI OpenURL
Varghese, Vini Anna; Saha, Nilanjan Investigation of stochastic nonlinear dynamics of ocean engineering systems through path integration. (English) Zbl 1453.65024 Physica D 402, Article ID 132227, 12 p. (2020). MSC: 65C30 65C05 70K70 65Z05 PDF BibTeX XML Cite \textit{V. A. Varghese} and \textit{N. Saha}, Physica D 402, Article ID 132227, 12 p. (2020; Zbl 1453.65024) Full Text: DOI OpenURL
Smirnov, Valeri V.; Manevitch, Leonid I. Complex envelope variable approximation in nonlinear dynamics. (English) Zbl 1470.70029 Nelineĭn. Din. 16, No. 3, 491-515 (2020). MSC: 70K70 34C15 34E10 37J99 PDF BibTeX XML Cite \textit{V. V. Smirnov} and \textit{L. I. Manevitch}, Nelineĭn. Din. 16, No. 3, 491--515 (2020; Zbl 1470.70029) Full Text: DOI arXiv MNR OpenURL
Lim, Soon Hoe; Theo Giorgini, Ludovico; Moon, Woosok; Wettlaufer, J. S. Predicting critical transitions in multiscale dynamical systems using reservoir computing. (English) Zbl 1457.37099 Chaos 30, No. 12, 123126, 21 p. (2020). MSC: 37M05 70K70 70K55 PDF BibTeX XML Cite \textit{S. H. Lim} et al., Chaos 30, No. 12, 123126, 21 p. (2020; Zbl 1457.37099) Full Text: DOI arXiv OpenURL
Kuehn, Christian; Soresina, Cinzia Numerical continuation for a fast-reaction system and its cross-diffusion limit. (English) Zbl 1451.35237 SN Partial Differ. Equ. Appl. 1, No. 2, Paper No. 7, 26 p. (2020). MSC: 35Q92 70K70 35K59 65P30 PDF BibTeX XML Cite \textit{C. Kuehn} and \textit{C. Soresina}, SN Partial Differ. Equ. Appl. 1, No. 2, Paper No. 7, 26 p. (2020; Zbl 1451.35237) Full Text: DOI arXiv OpenURL
Bolotin, Sergey V. Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system. (English. Russian original) Zbl 1476.70069 Proc. Steklov Inst. Math. 310, 12-24 (2020); translation from Tr. Mat. Inst. Steklova 310, 19-32 (2020). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 70H06 70K70 37J46 37J11 34C37 37C29 PDF BibTeX XML Cite \textit{S. V. Bolotin}, Proc. Steklov Inst. Math. 310, 12--24 (2020; Zbl 1476.70069); translation from Tr. Mat. Inst. Steklova 310, 19--32 (2020) Full Text: DOI OpenURL
Birkoben, Tom; Drangmeister, Moritz; Zahari, Finn; Yanchuk, Serhiy; Hövel, Philipp; Kohlstedt, Hermann Slow-fast dynamics in a chaotic system with strongly asymmetric memristive element. (English) Zbl 1448.37126 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 8, Article ID 2050125, 10 p. (2020). MSC: 37N35 94C05 70K70 PDF BibTeX XML Cite \textit{T. Birkoben} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 8, Article ID 2050125, 10 p. (2020; Zbl 1448.37126) Full Text: DOI OpenURL
Villadelprat, Jordi; Zhang, Xiang The period function of Hamiltonian systems with separable variables. (English) Zbl 1451.37085 J. Dyn. Differ. Equations 32, No. 2, 741-767 (2020). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37J46 34C25 34C05 70H05 70K42 70K70 PDF BibTeX XML Cite \textit{J. Villadelprat} and \textit{X. Zhang}, J. Dyn. Differ. Equations 32, No. 2, 741--767 (2020; Zbl 1451.37085) Full Text: DOI OpenURL
Iuorio, Annalisa; Kuehn, Christian; Szmolyan, Peter Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem. (English) Zbl 1434.70055 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1269-1290 (2020). MSC: 70K70 37G15 PDF BibTeX XML Cite \textit{A. Iuorio} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1269--1290 (2020; Zbl 1434.70055) Full Text: DOI arXiv OpenURL
Lizarraga, Ian; Wechselberger, Martin Computational singular perturbation method for nonstandard slow-fast systems. (English) Zbl 1457.37102 SIAM J. Appl. Dyn. Syst. 19, No. 2, 994-1028 (2020). Reviewer: Oleg Anashkin (Simferopol) MSC: 37M21 34D10 34D15 70K70 PDF BibTeX XML Cite \textit{I. Lizarraga} and \textit{M. Wechselberger}, SIAM J. Appl. Dyn. Syst. 19, No. 2, 994--1028 (2020; Zbl 1457.37102) Full Text: DOI arXiv OpenURL
Evnin, Oleg Breathing modes, quartic nonlinearities and effective resonant systems. (English) Zbl 1464.37064 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 034, 14 p. (2020). Reviewer: Igor Mencattini (São Carlos) MSC: 37J46 70H12 70K30 70K70 PDF BibTeX XML Cite \textit{O. Evnin}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 034, 14 p. (2020; Zbl 1464.37064) Full Text: DOI arXiv OpenURL
Artemyev, Anton V.; Neishtadt, Anatoly I.; Vasiliev, Alexei A. A map for systems with resonant trappings and scatterings. (English) Zbl 1473.37056 Regul. Chaotic Dyn. 25, No. 1, 2-10 (2020). MSC: 37E40 37M05 70K70 70K55 PDF BibTeX XML Cite \textit{A. V. Artemyev} et al., Regul. Chaotic Dyn. 25, No. 1, 2--10 (2020; Zbl 1473.37056) Full Text: DOI arXiv OpenURL
Gao, Peng Averaging principle for multiscale stochastic fractional Schrödinger equation. (English) Zbl 1440.60052 Ann. Henri Poincaré 21, No. 5, 1637-1675 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 60H15 70K65 70K70 PDF BibTeX XML Cite \textit{P. Gao}, Ann. Henri Poincaré 21, No. 5, 1637--1675 (2020; Zbl 1440.60052) Full Text: DOI OpenURL
Qiao, Huijie Effective filtering for multiscale stochastic dynamical systems in Hilbert spaces. (English) Zbl 1440.37057 J. Math. Anal. Appl. 487, No. 2, Article ID 123979, 22 p. (2020). Reviewer: George Stoica (Saint John) MSC: 37H05 37H30 70K70 PDF BibTeX XML Cite \textit{H. Qiao}, J. Math. Anal. Appl. 487, No. 2, Article ID 123979, 22 p. (2020; Zbl 1440.37057) Full Text: DOI arXiv OpenURL
Steindl, Alois; Edelmann, Johannes; Plöchl, Manfred Limit cycles at oversteer vehicle. (English) Zbl 1430.70082 Nonlinear Dyn. 99, No. 1, 313-321 (2020). MSC: 70K50 70K70 PDF BibTeX XML Cite \textit{A. Steindl} et al., Nonlinear Dyn. 99, No. 1, 313--321 (2020; Zbl 1430.70082) Full Text: DOI OpenURL
Chtouki, A.; Lakrad, F.; Belhaq, M. Quasi-periodic bursters and chaotic dynamics in a shallow arch subject to a fast-slow parametric excitation. (English) Zbl 1430.70092 Nonlinear Dyn. 99, No. 1, 283-298 (2020). MSC: 70K70 70K60 34E20 PDF BibTeX XML Cite \textit{A. Chtouki} et al., Nonlinear Dyn. 99, No. 1, 283--298 (2020; Zbl 1430.70092) Full Text: DOI OpenURL
Zhang, Li; Stepan, Gabor Bifurcations in basic models of delayed force control. (English) Zbl 1430.70085 Nonlinear Dyn. 99, No. 1, 99-108 (2020). MSC: 70K50 70K45 70K70 34C15 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{G. Stepan}, Nonlinear Dyn. 99, No. 1, 99--108 (2020; Zbl 1430.70085) Full Text: DOI OpenURL
Warminski, Jerzy Nonlinear dynamics of self-, parametric, and externally excited oscillator with time delay: van der Pol versus Rayleigh models. (English) Zbl 1430.70083 Nonlinear Dyn. 99, No. 1, 35-56 (2020). MSC: 70K50 70K75 70J25 70K70 74H45 34C15 PDF BibTeX XML Cite \textit{J. Warminski}, Nonlinear Dyn. 99, No. 1, 35--56 (2020; Zbl 1430.70083) Full Text: DOI OpenURL
Li, Shihu; Xie, Yingchao Averaging principle for stochastic 3D fractional Leray-\(\alpha\) model with a fast oscillation. (English) Zbl 1447.60109 Stochastic Anal. Appl. 38, No. 2, 248-276 (2020). MSC: 60H15 70K70 35Q30 35R60 PDF BibTeX XML Cite \textit{S. Li} and \textit{Y. Xie}, Stochastic Anal. Appl. 38, No. 2, 248--276 (2020; Zbl 1447.60109) Full Text: DOI OpenURL
Wechselberger, Martin Geometric singular perturbation theory beyond the standard form. (English) Zbl 07150995 Frontiers in Applied Dynamical Systems: Reviews and Tutorials 6. Cham: Springer (ISBN 978-3-030-36398-7/pbk; 978-3-030-36399-4/ebook). x, 137 p. (2020). Reviewer: Serhiy Yanchuk (Berlin) MSC: 34-02 34Exx 70K70 34C26 PDF BibTeX XML Cite \textit{M. Wechselberger}, Geometric singular perturbation theory beyond the standard form. Cham: Springer (2020; Zbl 07150995) Full Text: DOI OpenURL
Kuleshov, A. S.; Ulyatovskaya, I. I. The transgression effect in the problem of motion of an almost holonomic pendulum. (Russian. English summary) Zbl 1455.70008 Din. Sist., Simferopol’ 9(37), No. 2, 154-159 (2019). MSC: 70F25 70K60 70K70 PDF BibTeX XML Cite \textit{A. S. Kuleshov} and \textit{I. I. Ulyatovskaya}, Din. Sist., Simferopol' 9(37), No. 2, 154--159 (2019; Zbl 1455.70008) OpenURL
Nikitenkova, S. P.; Kovriguine, D. A. Stationary multi-wave resonant ensembles in a microtubule. (English) Zbl 1476.70076 Commun. Nonlinear Sci. Numer. Simul. 67, 314-333 (2019). MSC: 70K30 70K42 70K70 PDF BibTeX XML Cite \textit{S. P. Nikitenkova} and \textit{D. A. Kovriguine}, Commun. Nonlinear Sci. Numer. Simul. 67, 314--333 (2019; Zbl 1476.70076) Full Text: DOI OpenURL
Wouters, Jeroen; Gottwald, Georg A. Stochastic model reduction for slow-fast systems with moderate time scale separation. (English) Zbl 1434.70056 Multiscale Model. Simul. 17, No. 4, 1172-1188 (2019). MSC: 70K70 65C20 37A50 60F05 PDF BibTeX XML Cite \textit{J. Wouters} and \textit{G. A. Gottwald}, Multiscale Model. Simul. 17, No. 4, 1172--1188 (2019; Zbl 1434.70056) Full Text: DOI arXiv OpenURL
Bolotin, Sergey V. Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system. (English) Zbl 1435.37084 Regul. Chaotic Dyn. 24, No. 6, 682-703 (2019). MSC: 37J40 37J46 70K70 70K44 PDF BibTeX XML Cite \textit{S. V. Bolotin}, Regul. Chaotic Dyn. 24, No. 6, 682--703 (2019; Zbl 1435.37084) Full Text: DOI OpenURL
Zhou, Chengyi; Li, Zhijun; xie, Fei; Ma, Minglin; Zhang, Yi Bursting oscillations in Sprott B system with multi-frequency slow excitations: two novel “Hopf/Hopf”-hysteresis-induced bursting and complex AMB rhythms. (English) Zbl 1430.70086 Nonlinear Dyn. 97, No. 4, 2799-2811 (2019). MSC: 70K50 70K70 PDF BibTeX XML Cite \textit{C. Zhou} et al., Nonlinear Dyn. 97, No. 4, 2799--2811 (2019; Zbl 1430.70086) Full Text: DOI OpenURL
Hurel, Gabriel; Ture Savadkoohi, Alireza; Lamarque, Claude-Henri Passive control of a two degrees-of-freedom pendulum by a non-smooth absorber. (English) Zbl 1430.70016 Nonlinear Dyn. 98, No. 4, 3025-3036 (2019). MSC: 70E55 70K70 34E13 PDF BibTeX XML Cite \textit{G. Hurel} et al., Nonlinear Dyn. 98, No. 4, 3025--3036 (2019; Zbl 1430.70016) Full Text: DOI HAL OpenURL
Gendelman, O. V.; Karmi, G. Correction to: “Basic mechanisms of escape of a harmonically forced classical particle from a potential well”. (English) Zbl 1430.70005 Nonlinear Dyn. 98, No. 4, 2793 (2019). MSC: 70B05 70K40 70K30 70K70 PDF BibTeX XML Cite \textit{O. V. Gendelman} and \textit{G. Karmi}, Nonlinear Dyn. 98, No. 4, 2793 (2019; Zbl 1430.70005) Full Text: DOI OpenURL
Gendelman, O. V.; Karmi, G. Basic mechanisms of escape of a harmonically forced classical particle from a potential well. (English) Zbl 1430.70004 Nonlinear Dyn. 98, No. 4, 2775-2792 (2019); correction ibid. 98, No. 4, 2793 (2019). MSC: 70B05 70K40 70K30 70K70 PDF BibTeX XML Cite \textit{O. V. Gendelman} and \textit{G. Karmi}, Nonlinear Dyn. 98, No. 4, 2775--2792 (2019; Zbl 1430.70004) Full Text: DOI arXiv OpenURL
Neishtadt, Anatoly On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems. (English) Zbl 1459.70039 Nonlinearity 32, No. 11, R53-R76 (2019). MSC: 70H11 70H05 70K65 70K70 34E13 PDF BibTeX XML Cite \textit{A. Neishtadt}, Nonlinearity 32, No. 11, R53--R76 (2019; Zbl 1459.70039) Full Text: DOI OpenURL
Blanchard, Antoine; Sapsis, Themistoklis P. Analytical description of optimally time-dependent modes for reduced-order modeling of transient instabilities. (English) Zbl 1433.70034 SIAM J. Appl. Dyn. Syst. 18, No. 2, 1143-1162 (2019). MSC: 70K20 34C45 49J05 49K05 70H33 70K70 PDF BibTeX XML Cite \textit{A. Blanchard} and \textit{T. P. Sapsis}, SIAM J. Appl. Dyn. Syst. 18, No. 2, 1143--1162 (2019; Zbl 1433.70034) Full Text: DOI OpenURL
Duncan, Jacob P.; Aubele-Futch, Teresa; McGrath, Monica A fast-slow dynamical system model of addiction: predicting relapse frequency. (English) Zbl 1428.37090 SIAM J. Appl. Dyn. Syst. 18, No. 2, 881-903 (2019). MSC: 37N25 37M05 70K70 92B05 PDF BibTeX XML Cite \textit{J. P. Duncan} et al., SIAM J. Appl. Dyn. Syst. 18, No. 2, 881--903 (2019; Zbl 1428.37090) Full Text: DOI OpenURL
Arcidiacono, Luca; Engel, Maximilian; Kuehn, Christian Discretized fast-slow systems near pitchfork singularities. (English) Zbl 1436.37062 J. Difference Equ. Appl. 25, No. 7, 1024-1051 (2019). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G10 37G05 37M20 37D10 70K70 65L12 PDF BibTeX XML Cite \textit{L. Arcidiacono} et al., J. Difference Equ. Appl. 25, No. 7, 1024--1051 (2019; Zbl 1436.37062) Full Text: DOI arXiv OpenURL
Franca, Matteo; Johnson, Russell On the non-autonomous Hopf bifurcation problem: systems with rapidly varying coefficients. (English) Zbl 1438.37030 Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 56, 24 p. (2019). MSC: 37G15 37G35 34C23 70K70 PDF BibTeX XML Cite \textit{M. Franca} and \textit{R. Johnson}, Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 56, 24 p. (2019; Zbl 1438.37030) Full Text: DOI OpenURL
Zulfiqar, Hina; Yuan, Shenglan; He, Ziying; Duan, Jinqiao Slow manifolds for a nonlocal fast-slow stochastic system with stable Lévy noise. (English) Zbl 1426.37046 J. Math. Phys. 60, No. 9, 091501, 19 p. (2019). MSC: 37H10 60H10 34K50 37M05 70K70 PDF BibTeX XML Cite \textit{H. Zulfiqar} et al., J. Math. Phys. 60, No. 9, 091501, 19 p. (2019; Zbl 1426.37046) Full Text: DOI arXiv OpenURL
An, Hua-Zhen; Yang, Xiao-Dong; Liang, Feng; Zhang, Wei; Yang, Tian-Zhi; Ren, Yuan On nonlinear motions of two-degree-of-freedom nonlinear systems with repeated linearized natural frequencies. (English) Zbl 1432.70038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 10, Article ID 1950132, 16 p. (2019). MSC: 70H05 70K40 70K42 70K55 70K70 PDF BibTeX XML Cite \textit{H.-Z. An} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 10, Article ID 1950132, 16 p. (2019; Zbl 1432.70038) Full Text: DOI OpenURL
Gao, Peng Averaging principle for multiscale stochastic Klein-Gordon-heat system. (English) Zbl 1436.60063 J. Nonlinear Sci. 29, No. 4, 1701-1759 (2019). MSC: 60H15 70K65 70K70 37H10 37L55 PDF BibTeX XML Cite \textit{P. Gao}, J. Nonlinear Sci. 29, No. 4, 1701--1759 (2019; Zbl 1436.60063) Full Text: DOI OpenURL
Li, Xiaoning; Zhang, Zhengdi Analysis of two scales effects on non-autonomous BVP systems. (Chinese. English summary) Zbl 1438.37016 J. Henan Univ. Sci. Technol., Nat. Sci. 40, No. 1, 89-94 (2019). MSC: 37C60 70K70 70K50 PDF BibTeX XML Cite \textit{X. Li} and \textit{Z. Zhang}, J. Henan Univ. Sci. Technol., Nat. Sci. 40, No. 1, 89--94 (2019; Zbl 1438.37016) Full Text: DOI OpenURL
Gao, Peng Averaging principle for Korteweg-de Vries equation with a random fast oscillation. (English) Zbl 1421.35324 Z. Angew. Math. Phys. 70, No. 4, Paper No. 123, 28 p. (2019). MSC: 35Q53 60H15 70K65 70K70 35R60 PDF BibTeX XML Cite \textit{P. Gao}, Z. Angew. Math. Phys. 70, No. 4, Paper No. 123, 28 p. (2019; Zbl 1421.35324) Full Text: DOI OpenURL
Desroches, Mathieu; Francoise, Jean-Pierre; Krupa, Martin Parabolic bursting, spike-adding, dips and slices in a minimal model. (English) Zbl 1418.37037 Math. Model. Nat. Phenom. 14, No. 4, Paper No. 406, 14 p. (2019). MSC: 37C10 37C27 34C23 37G15 34C15 34E17 70K70 PDF BibTeX XML Cite \textit{M. Desroches} et al., Math. Model. Nat. Phenom. 14, No. 4, Paper No. 406, 14 p. (2019; Zbl 1418.37037) Full Text: DOI OpenURL
Engel, Maximilian; Kuehn, Christian Discretized fast-slow systems near transcritical singularities. (English) Zbl 1416.37045 Nonlinearity 32, No. 7, 2365-2391 (2019). Reviewer: Robert Vrabel (Trnava) MSC: 37G10 37G15 37C05 70K70 65L06 65L12 65L11 PDF BibTeX XML Cite \textit{M. Engel} and \textit{C. Kuehn}, Nonlinearity 32, No. 7, 2365--2391 (2019; Zbl 1416.37045) Full Text: DOI arXiv OpenURL
Adamov, Boris I. A study of the controlled motion of a four-wheeled mecanum platform. (English) Zbl 1419.70006 Nelineĭn. Din. 14, No. 2, 265-290 (2018). MSC: 70F25 70E55 70E60 70Q05 70K70 34D15 34E10 37J60 37J20 PDF BibTeX XML Cite \textit{B. I. Adamov}, Nelineĭn. Din. 14, No. 2, 265--290 (2018; Zbl 1419.70006) Full Text: DOI MNR OpenURL
Kaloshin, Vadim; Zhang, Ke Dynamics of the dominant Hamiltonian. (Dynamique de l’hamiltonien dominant.) (English. French summary) Zbl 1417.37214 Bull. Soc. Math. Fr. 146, No. 3, 517-574 (2018). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J40 37J50 37J15 70H08 70K30 70K70 PDF BibTeX XML Cite \textit{V. Kaloshin} and \textit{K. Zhang}, Bull. Soc. Math. Fr. 146, No. 3, 517--574 (2018; Zbl 1417.37214) Full Text: DOI OpenURL
Várkonyi, P. L. Transitions and singularities during slip motion of rigid bodies. (English) Zbl 1405.37074 Eur. J. Appl. Math. 29, No. 5, 778-804 (2018). MSC: 37J55 70F40 70E18 70K70 70F35 PDF BibTeX XML Cite \textit{P. L. Várkonyi}, Eur. J. Appl. Math. 29, No. 5, 778--804 (2018; Zbl 1405.37074) Full Text: DOI arXiv OpenURL
Gao, Peng Averaging principle for stochastic Kuramoto-Sivashinsky equation with a fast oscillation. (English) Zbl 1401.60121 Discrete Contin. Dyn. Syst. 38, No. 11, 5649-5684 (2018). MSC: 60H15 70K65 70K70 PDF BibTeX XML Cite \textit{P. Gao}, Discrete Contin. Dyn. Syst. 38, No. 11, 5649--5684 (2018; Zbl 1401.60121) Full Text: DOI arXiv OpenURL
Desroches, Mathieu; Kirk, Vivien Spike-adding in a canonical three-time-scale model: superslow explosion and folded-saddle canards. (English) Zbl 1404.37056 SIAM J. Appl. Dyn. Syst. 17, No. 3, 1989-2017 (2018). MSC: 37G15 37C15 34C26 34E17 70K70 34E13 PDF BibTeX XML Cite \textit{M. Desroches} and \textit{V. Kirk}, SIAM J. Appl. Dyn. Syst. 17, No. 3, 1989--2017 (2018; Zbl 1404.37056) Full Text: DOI OpenURL
De Simoi, Jacopo; Liverani, Carlangelo Limit theorems for fast-slow partially hyperbolic systems. (English) Zbl 1401.37029 Invent. Math. 213, No. 3, 811-1016 (2018). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C30 37A25 37D30 70K70 37A50 60F17 PDF BibTeX XML Cite \textit{J. De Simoi} and \textit{C. Liverani}, Invent. Math. 213, No. 3, 811--1016 (2018; Zbl 1401.37029) Full Text: DOI arXiv OpenURL
Eldering, Jaap; Kvalheim, Matthew; Revzen, Shai Global linearization and fiber bundle structure of invariant manifolds. (English) Zbl 1396.37035 Nonlinearity 31, No. 9, 4202-4245 (2018). Reviewer: Dilmurat Tursunov (Osh) MSC: 37D10 34E15 70K70 PDF BibTeX XML Cite \textit{J. Eldering} et al., Nonlinearity 31, No. 9, 4202--4245 (2018; Zbl 1396.37035) Full Text: DOI arXiv OpenURL
Gao, Peng Averaging principle for the higher order nonlinear Schrödinger equation with a random fast oscillation. (English) Zbl 1394.35473 J. Stat. Phys. 171, No. 5, 897-926 (2018). MSC: 35Q55 35Q53 60H15 70K65 70K70 35R60 PDF BibTeX XML Cite \textit{P. Gao}, J. Stat. Phys. 171, No. 5, 897--926 (2018; Zbl 1394.35473) Full Text: DOI OpenURL
Korepanov, A.; Kosloff, Z.; Melbourne, I. Martingale-coboundary decomposition for families of dynamical systems. (English) Zbl 1406.37027 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 4, 859-885 (2018). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37D25 37A30 37A60 70K70 PDF BibTeX XML Cite \textit{A. Korepanov} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 4, 859--885 (2018; Zbl 1406.37027) Full Text: DOI arXiv Link OpenURL
Dettmann, Carl P.; Fain, Vitaly; Turaev, Dmitry Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse. (English) Zbl 1388.37067 Nonlinearity 31, No. 3, 667-700 (2018). Reviewer: Vladimir Răsvan (Craiova) MSC: 37J40 37C29 37C50 37J25 70H09 70K55 70K70 PDF BibTeX XML Cite \textit{C. P. Dettmann} et al., Nonlinearity 31, No. 3, 667--700 (2018; Zbl 1388.37067) Full Text: DOI arXiv OpenURL
Lu, Wenlian; Atay, Fatihcan M. Stability of phase difference trajectories of networks of Kuramoto oscillators with time-varying couplings and intrinsic frequencies. (English) Zbl 1384.37025 SIAM J. Appl. Dyn. Syst. 17, No. 1, 457-483 (2018). MSC: 37C10 37C60 70K70 70K20 PDF BibTeX XML Cite \textit{W. Lu} and \textit{F. M. Atay}, SIAM J. Appl. Dyn. Syst. 17, No. 1, 457--483 (2018; Zbl 1384.37025) Full Text: DOI arXiv OpenURL
Farjami, Saeed; Kirk, Vivien; Osinga, Hinke M. Computing the stable manifold of a saddle slow manifold. (English) Zbl 1403.37036 SIAM J. Appl. Dyn. Syst. 17, No. 1, 350-379 (2018). Reviewer: Josef Diblík (Brno) MSC: 37D10 37M20 34D15 34E15 37C10 65L10 34D35 34C45 65P40 70K70 PDF BibTeX XML Cite \textit{S. Farjami} et al., SIAM J. Appl. Dyn. Syst. 17, No. 1, 350--379 (2018; Zbl 1403.37036) Full Text: DOI OpenURL
Perelyaev, C. E.; Chelnokov, Yu. N. Algorithms for the orientation of a moving object with separation of the integration of fast and slow motions. (English. Russian original) Zbl 1443.70048 J. Appl. Math. Mech. 81, No. 1, 11-20 (2017); translation from Prikl. Mat. Mekh. 81, No. 1, 18-32 (2017). MSC: 70K70 PDF BibTeX XML Cite \textit{C. E. Perelyaev} and \textit{Yu. N. Chelnokov}, J. Appl. Math. Mech. 81, No. 1, 11--20 (2017; Zbl 1443.70048); translation from Prikl. Mat. Mekh. 81, No. 1, 18--32 (2017) Full Text: DOI OpenURL
Shah, Kushal; Turaev, Dmitry; Gelfreich, Vassili; Rom-Kedar, Vered Equilibration of energy in slow-fast systems. (English) Zbl 1404.70059 Proc. Natl. Acad. Sci. USA 114, No. 49, E10514-E10523 (2017). MSC: 70K70 PDF BibTeX XML Cite \textit{K. Shah} et al., Proc. Natl. Acad. Sci. USA 114, No. 49, E10514--E10523 (2017; Zbl 1404.70059) Full Text: DOI arXiv OpenURL
Yang, Cheng Multiscale method, central extensions and a generalized Craik-Leibovich equation. (English) Zbl 1415.34081 J. Geom. Phys. 116, 228-243 (2017). MSC: 34C29 17B80 37L25 37N10 70K70 PDF BibTeX XML Cite \textit{C. Yang}, J. Geom. Phys. 116, 228--243 (2017; Zbl 1415.34081) Full Text: DOI arXiv OpenURL
Guillamon, A.; Prohens, R.; Teruel, A. E.; Vich, C. Estimation of synaptic conductance in the spiking regime for the McKean neuron model. (English) Zbl 1373.37189 SIAM J. Appl. Dyn. Syst. 16, No. 3, 1397-1424 (2017). MSC: 37N25 70K70 34D15 34C25 34C26 92C20 PDF BibTeX XML Cite \textit{A. Guillamon} et al., SIAM J. Appl. Dyn. Syst. 16, No. 3, 1397--1424 (2017; Zbl 1373.37189) Full Text: DOI OpenURL
Mergia, Woinshet D.; Patidar, Kailash C. Efficient simulation of a slow-fast dynamical system using multirate finite difference schemes. (English) Zbl 1435.65105 Quaest. Math. 39, No. 5, 689-714 (2016). MSC: 65L05 65L11 65L12 65L20 70K70 92D25 PDF BibTeX XML Cite \textit{W. D. Mergia} and \textit{K. C. Patidar}, Quaest. Math. 39, No. 5, 689--714 (2016; Zbl 1435.65105) Full Text: DOI OpenURL
Khater, Mostafa M. A. Exact traveling wave solutions for the generalized Hirota-Satsuma couple KdV system using the \(\exp(-\varphi(\xi))\)-expansion method. (English) Zbl 1438.35358 Cogent Math. 3, Article ID 1172397, 16 p. (2016). MSC: 35Q53 35A01 35A20 35C07 35C08 70K70 PDF BibTeX XML Cite \textit{M. M. A. Khater}, Cogent Math. 3, Article ID 1172397, 16 p. (2016; Zbl 1438.35358) Full Text: DOI OpenURL
Maslennikov, Oleg V.; Nekorkin, Vladimir I. Attractors of relaxation discrete-time systems with chaotic dynamics on a fast time scale. (English) Zbl 1375.39036 Chaos 26, No. 7, 073104, 10 p. (2016). MSC: 39A30 70K70 37D45 PDF BibTeX XML Cite \textit{O. V. Maslennikov} and \textit{V. I. Nekorkin}, Chaos 26, No. 7, 073104, 10 p. (2016; Zbl 1375.39036) Full Text: DOI OpenURL
Franzosa, Robert; de Rezende, Ketty A.; Vieira, Ewerton R. Generalized topological transition matrix. (English) Zbl 1362.37038 Topol. Methods Nonlinear Anal. 48, No. 1, 183-212 (2016). MSC: 37B30 37D15 70K70 70K50 PDF BibTeX XML Cite \textit{R. Franzosa} et al., Topol. Methods Nonlinear Anal. 48, No. 1, 183--212 (2016; Zbl 1362.37038) Full Text: DOI arXiv OpenURL
Charlemagne, S.; Savadkoohi, A. Ture; Lamarque, C.-H. Interactions between two coupled nonlinear forced systems: fast/slow dynamics. (English) Zbl 1347.70034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 9, Article ID 1650155, 28 p. (2016). MSC: 70K70 70K40 34C15 34C41 70K42 34E13 PDF BibTeX XML Cite \textit{S. Charlemagne} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 9, Article ID 1650155, 28 p. (2016; Zbl 1347.70034) Full Text: DOI OpenURL
Manevitch, Leonid I.; Kovaleva, Agnessa; Sigalov, Grigori Nonstationary energy localization vs conventional stationary localization in weakly coupled nonlinear oscillators. (English) Zbl 1344.34048 Regul. Chaotic Dyn. 21, No. 2, 147-159 (2016). MSC: 34C15 70K30 70K70 34C05 34E15 PDF BibTeX XML Cite \textit{L. I. Manevitch} et al., Regul. Chaotic Dyn. 21, No. 2, 147--159 (2016; Zbl 1344.34048) Full Text: DOI OpenURL
Xu, Jie; Miao, Yu; Liu, Jicheng A note on strong convergence rate in averaging principle for stochastic Fitzhugh-Nagumo system with two time-scales. (English) Zbl 1335.60119 Stochastic Anal. Appl. 34, No. 1, 178-181 (2016). MSC: 60H15 60F15 70K65 70K70 PDF BibTeX XML Cite \textit{J. Xu} et al., Stochastic Anal. Appl. 34, No. 1, 178--181 (2016; Zbl 1335.60119) Full Text: DOI OpenURL
Kovacic, Ivana; Cartmell, Matthew; Zukovic, Miodrag Mixed-mode dynamics of certain bistable oscillators: behavioural mapping, approximations for motion and links with van der Pol oscillators. (English) Zbl 1371.34049 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 471, No. 2184, Article ID 20150638, 17 p. (2015). MSC: 34C15 34C26 34E05 70K70 PDF BibTeX XML Cite \textit{I. Kovacic} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 471, No. 2184, Article ID 20150638, 17 p. (2015; Zbl 1371.34049) Full Text: DOI OpenURL
Xu, Jie; Miao, Yu; Liu, Jicheng Strong averaging principle for slow-fast SPDEs with Poisson random measures. (English) Zbl 1335.60118 Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 2233-2256 (2015). MSC: 60H15 60G57 60G55 60F15 70K65 70K70 PDF BibTeX XML Cite \textit{J. Xu} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 2233--2256 (2015; Zbl 1335.60118) Full Text: DOI OpenURL
Lu, Lin; Li, Xuemei Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation. (English) Zbl 1388.37068 J. Math. Phys. 56, No. 12, 122703, 18 p. (2015). MSC: 37J40 70H08 70K43 70K70 70K28 PDF BibTeX XML Cite \textit{L. Lu} and \textit{X. Li}, J. Math. Phys. 56, No. 12, 122703, 18 p. (2015; Zbl 1388.37068) Full Text: DOI OpenURL
Eissa, M.; Kandil, A.; Kamel, M.; El-Ganaini, W. On controlling the response of primary and parametric resonances of a nonlinear magnetic levitation system. (English) Zbl 1329.70057 Meccanica 50, No. 1, 233-251 (2015). MSC: 70K70 70K30 70Q05 PDF BibTeX XML Cite \textit{M. Eissa} et al., Meccanica 50, No. 1, 233--251 (2015; Zbl 1329.70057) Full Text: DOI OpenURL
Fu, Hongbo; Wan, Li; Liu, Jicheng Strong convergence in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales. (English) Zbl 1322.60111 Stochastic Processes Appl. 125, No. 8, 3255-3279 (2015). MSC: 60H15 60F15 70K70 PDF BibTeX XML Cite \textit{H. Fu} et al., Stochastic Processes Appl. 125, No. 8, 3255--3279 (2015; Zbl 1322.60111) Full Text: DOI OpenURL
Fernández-García, S.; Desroches, M.; Krupa, M.; Clément, F. A multiple time scale coupling of piecewise linear oscillators. Application to a neuroendocrine system. (English) Zbl 1329.34090 SIAM J. Appl. Dyn. Syst. 14, No. 2, 643-673 (2015). Reviewer: Vasile Dragan (Bucureşti) MSC: 34C60 34C15 34C23 34C26 70K70 92B05 34A36 92C20 PDF BibTeX XML Cite \textit{S. Fernández-García} et al., SIAM J. Appl. Dyn. Syst. 14, No. 2, 643--673 (2015; Zbl 1329.34090) Full Text: DOI OpenURL
Arkhipova, Inga M.; Luongo, Angelo Stabilization via parametric excitation of multi-dof statically unstable systems. (English) Zbl 1470.70028 Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3913-3926 (2014). MSC: 70K70 70K28 34D20 PDF BibTeX XML Cite \textit{I. M. Arkhipova} and \textit{A. Luongo}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3913--3926 (2014; Zbl 1470.70028) Full Text: DOI OpenURL
Gelfreich, Vassili; Lerman, Lev Separatrix splitting at a Hamiltonian \(0^2i\omega\) bifurcation. (English) Zbl 1347.37102 Regul. Chaotic Dyn. 19, No. 6, 635-655 (2014). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J20 37J45 70K50 70K70 PDF BibTeX XML Cite \textit{V. Gelfreich} and \textit{L. Lerman}, Regul. Chaotic Dyn. 19, No. 6, 635--655 (2014; Zbl 1347.37102) Full Text: DOI arXiv OpenURL
McLachlan, Robert I.; Stern, Ari Modified trigonometric integrators. (English) Zbl 1320.65194 SIAM J. Numer. Anal. 52, No. 3, 1378-1397 (2014). MSC: 65P10 70K70 37M15 PDF BibTeX XML Cite \textit{R. I. McLachlan} and \textit{A. Stern}, SIAM J. Numer. Anal. 52, No. 3, 1378--1397 (2014; Zbl 1320.65194) Full Text: DOI arXiv OpenURL
Ha, Seung-Yeal; Li, Zhuchun; Slemrod, Marshall; Xue, Xiaoping Flocking behavior of the Cucker-Smale model under rooted leadership in a large coupling limit. (English) Zbl 1322.92087 Q. Appl. Math. 72, No. 4, 689-701 (2014). MSC: 92D50 34E13 70K70 PDF BibTeX XML Cite \textit{S.-Y. Ha} et al., Q. Appl. Math. 72, No. 4, 689--701 (2014; Zbl 1322.92087) Full Text: DOI OpenURL
Froyland, Gary; Gottwald, Georg A.; Hammerlindl, Andy A computational method to extract macroscopic variables and their dynamics in multiscale systems. (English) Zbl 1320.37012 SIAM J. Appl. Dyn. Syst. 13, No. 4, 1816-1846 (2014). MSC: 37C30 65P99 37M99 70K70 PDF BibTeX XML Cite \textit{G. Froyland} et al., SIAM J. Appl. Dyn. Syst. 13, No. 4, 1816--1846 (2014; Zbl 1320.37012) Full Text: DOI arXiv OpenURL
Simó, Carles Measuring the total amount of chaos in some Hamiltonian systems. (English) Zbl 1299.70032 Discrete Contin. Dyn. Syst. 34, No. 12, 5135-5164 (2014). MSC: 70H07 70K70 37N05 34D08 37J40 37J45 37M25 PDF BibTeX XML Cite \textit{C. Simó}, Discrete Contin. Dyn. Syst. 34, No. 12, 5135--5164 (2014; Zbl 1299.70032) Full Text: DOI OpenURL
Barret, Florent; von Renesse, Max Averaging principle for diffusion processes via Dirichlet forms. (English) Zbl 1317.60095 Potential Anal. 41, No. 4, 1033-1063 (2014). MSC: 60J60 60J65 60J45 34C29 70K70 PDF BibTeX XML Cite \textit{F. Barret} and \textit{M. von Renesse}, Potential Anal. 41, No. 4, 1033--1063 (2014; Zbl 1317.60095) Full Text: DOI arXiv Link OpenURL
Zhang, W.; Hu, H. L.; Qian, Y. H.; Gao, F. B. A refined asymptotic perturbation method for nonlinear dynamical systems. (English) Zbl 1310.70029 Arch. Appl. Mech. 84, No. 4, 591-606 (2014). Reviewer: Vasile Marinca (Timişoara) MSC: 70K60 70K28 70K70 PDF BibTeX XML Cite \textit{W. Zhang} et al., Arch. Appl. Mech. 84, No. 4, 591--606 (2014; Zbl 1310.70029) Full Text: DOI OpenURL
Rechdaoui, M. S.; Azrar, L. Stability and nonlinear dynamic analyses of beam with piezoelectric actuator and sensor based on higher-order multiple scales methods. (English) Zbl 1359.74238 Int. J. Struct. Stab. Dyn. 13, No. 8, Article ID 1350042, 30 p. (2013). MSC: 74K10 74M05 74F15 34E13 70K70 PDF BibTeX XML Cite \textit{M. S. Rechdaoui} and \textit{L. Azrar}, Int. J. Struct. Stab. Dyn. 13, No. 8, Article ID 1350042, 30 p. (2013; Zbl 1359.74238) Full Text: DOI OpenURL
Landa, Polina S.; McClintock, P. V. E. Nonlinear systems with fast and slow motions. Changes in the probability distribution for fast motions under the influence of slower ones. (English) Zbl 1356.70033 Phys. Rep. 532, No. 1, 1-26 (2013). MSC: 70K70 37H10 60K40 PDF BibTeX XML Cite \textit{P. S. Landa} and \textit{P. V. E. McClintock}, Phys. Rep. 532, No. 1, 1--26 (2013; Zbl 1356.70033) Full Text: DOI Link OpenURL