Kuramoto, Yoshiki; Nishikawa, Ikuko Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities. (English) Zbl 0965.82500 J. Stat. Phys. 49, No. 3-4, 569-605 (1987). MSC: 82B26 37A60 PDFBibTeX XMLCite \textit{Y. Kuramoto} and \textit{I. Nishikawa}, J. Stat. Phys. 49, No. 3--4, 569--605 (1987; Zbl 0965.82500) Full Text: DOI
Sleeman, B. D. (ed.); Jarvis, R. J. (ed.) Ordinary and partial differential equations. Proceedings of the ninth Dundee conference held at the University of Dundee, UK, June 30 - July 4, 1986. (English) Zbl 0682.34001 Pitman Research Notes in Mathematics Series, 157. Harlow: Longman Scientific & Technical; New York: John Wiley & Sons, Inc. x, 216 p. $ 48.95 (1987). MSC: 34-02 35-02 34L99 34C05 34K05 92Cxx 34K99 PDFBibTeX XMLCite \textit{B. D. Sleeman} (ed.) and \textit{R. J. Jarvis} (ed.), Ordinary and partial differential equations. Proceedings of the ninth Dundee conference held at the University of Dundee, UK, June 30 - July 4, 1986. Harlow: Longman Scientific \&| Technical; New York: John Wiley \&| Sons, Inc. (1987; Zbl 0682.34001)
Kolesov, A. Yu; Kolesov, Yu. S.; Mishchenko, E. F.; Rozov, N. Kh. Asymptotic integration of a system in variation of a multidimensional relaxation cycle. I. (English. Russian original) Zbl 0714.34003 Differ. Equations 23, No. 11, 1270-1276 (1987); translation from Differ. Uravn. 23, No. 11, 1881-1889 (1987). MSC: 34A05 34C05 34A34 34D99 PDFBibTeX XMLCite \textit{A. Y. Kolesov} et al., Differ. Equations 23, No. 11, 1270--1276 (1987; Zbl 0714.34003); translation from Differ. Uravn. 23, No. 11, 1881--1889 (1987)
Maynard Smith, J.; Hofbauer, Josef The “battle of the sexes”: A genetic model with limit cycle behavior. (English) Zbl 0671.92010 Theor. Popul. Biol. 32, 1-14 (1987). Reviewer: H.Länger MSC: 92D15 92D10 91A40 PDFBibTeX XMLCite \textit{J. Maynard Smith} and \textit{J. Hofbauer}, Theor. Popul. Biol. 32, 1--14 (1987; Zbl 0671.92010) Full Text: DOI
Kolesov, A. Yu.; Kolesov, Yu. S.; Mishchenko, E. F.; Rozov, N. Kh. Asymptotic integration of a system in variations of a multidimensional relaxation cycle. I. (Russian) Zbl 0663.34001 Differ. Uravn. 23, No. 11, 1881-1889 (1987). Reviewer: L.P.Lebedev MSC: 34A05 34C05 34A34 34D99 PDFBibTeX XMLCite \textit{A. Yu. Kolesov} et al., Differ. Uravn. 23, No. 11, 1881--1889 (1987; Zbl 0663.34001)
Li, Jibin; Huang, Qiming Bifurcations of limit cycles forming compound eyes in the cubic system. (English) Zbl 0658.34020 Chin. Ann. Math., Ser. B 8, 391-403 (1987). MSC: 34C05 PDFBibTeX XMLCite \textit{J. Li} and \textit{Q. Huang}, Chin. Ann. Math., Ser. B 8, 391--403 (1987; Zbl 0658.34020)
Bajaj, A. K. Nonlinear dynamics of tubes carrying a pulsatile flow. (English) Zbl 0657.76048 Dyn. Stab. Syst. 2, No. 1, 19-41 (1987). Reviewer: K.M.Srivastava MSC: 76E30 37G15 PDFBibTeX XMLCite \textit{A. K. Bajaj}, Dyn. Stab. Syst. 2, No. 1, 19--41 (1987; Zbl 0657.76048) Full Text: DOI
Zhao, Shengi The qualitative-numerical analyses of the limit cycle bifurcation for systems of type \((II)_{\ell \cdot 0}\). (English) Zbl 0652.34037 Ann. Differ. Equations 3, 213-224 (1987). Reviewer: V.Kozobrod MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{S. Zhao}, Ann. Differ. Equations 3, 213--224 (1987; Zbl 0652.34037)
Müller, Peter C. Limit cycles with sliding motions in oscillation systems with ideal relay. (English) Zbl 0651.34023 Nonlinear oscillations, Proc. 11th Int. Conf., Budapest 1987, 683-688 (1987). Reviewer: P.C.Müller MSC: 34C05 34C10 34A34 37G15 70K05 PDFBibTeX XML
Sibirskii, H. S. Invariants and the questions of qualitative investigation of twodimensional differential systems. (Russian) Zbl 0649.34010 Nonlinear oscillations, Proc. 11th Int. Conf., Budapest 1987, 225-230 (1987). Reviewer: Zhujun Jing MSC: 34M99 34C05 34C25 PDFBibTeX XML
Tapaswi, P. K.; Roychoudhury, R. K.; Prasad, T. A stochastic model of gene activation and RNA synthesis during embryogenesis. (English) Zbl 0646.92010 Sankhyā, Ser. B 49, No. 1, 51-67 (1987). MSC: 92Cxx 60J25 34C05 PDFBibTeX XMLCite \textit{P. K. Tapaswi} et al., Sankhyā, Ser. B 49, No. 1, 51--67 (1987; Zbl 0646.92010)
Tian, Jinghuang On shapes of closed orbits of polynomial differential systems. (English) Zbl 0643.34029 Int. J. Math. Educ. Sci. Technol. 18, 617-621 (1987). Reviewer: J.Tian MSC: 34C05 PDFBibTeX XMLCite \textit{J. Tian}, Int. J. Math. Educ. Sci. Technol. 18, 617--621 (1987; Zbl 0643.34029)
Chen, Zhiying; Zhao, Shenqi; Yan, Zhong; Sun, Jianhua; Luo, Dingjun Qualitative numerical method to study the limit cycle problems of planar systems. (Chinese. English summary) Zbl 0638.65061 J. Nanjing Univ., Math. Biq. 4, No. 1, 99-105 (1987). Reviewer: Ling Fuhua MSC: 65L07 34C05 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Nanjing Univ., Math. Biq. 4, No. 1, 99--105 (1987; Zbl 0638.65061)
Song, Guohua Qualitative analysis of a kind of Kolmogorov systems. (Chinese. English summary) Zbl 0637.34023 J. Biomath. 2, 136-140 (1987). MSC: 34C05 34D20 PDFBibTeX XMLCite \textit{G. Song}, J. Biomath. 2, 136--140 (1987; Zbl 0637.34023)
Whitman, A. M.; Molyneux, J. E. Limit cycle behavior of a flexible truck. (English) Zbl 0636.73052 J. Appl. Mech. 54, 930-934 (1987). MSC: 74H45 70K05 74E30 34A34 34D10 34C25 PDFBibTeX XMLCite \textit{A. M. Whitman} and \textit{J. E. Molyneux}, J. Appl. Mech. 54, 930--934 (1987; Zbl 0636.73052) Full Text: DOI
Vulpe, N. I.; Kostash, S. I. Centro affine-invariant conditions of the presence of a limit cycle for a Darboux system. (Russian) Zbl 0635.34024 Mat. Issled. 92, 38-42 (1987). Reviewer: A.Halanay MSC: 34C05 PDFBibTeX XMLCite \textit{N. I. Vulpe} and \textit{S. I. Kostash}, Mat. Issled. 92, 38--42 (1987; Zbl 0635.34024) Full Text: EuDML
Chang, Pingkuang The uniqueness of the limit cycle of the quadratic system \((\Pi _{1=0})\). (Chinese. English summary) Zbl 0633.34022 J. Zhejiang Univ. 21, No. 3, 139-145 (1987). MSC: 34C05 PDFBibTeX XMLCite \textit{P. Chang}, J. Zhejiang Univ. 21, No. 3, 139--145 (1987; Zbl 0633.34022)
Šiška, J.; Kubínová, L.; Dvořák, I. Time hierarchy in systems with general attractors. (English) Zbl 0632.58025 Math. Modelling 8, 61-65 (1987). Reviewer: G.Jetschke MSC: 37C70 37D99 37G15 PDFBibTeX XMLCite \textit{J. Šiška} et al., Math. Modelling 8, 61--65 (1987; Zbl 0632.58025) Full Text: DOI
Rudenok, A. E. Limit cycles of a two-dimensional autonomous system with third-degree nonlinearities. (English. Russian original) Zbl 0632.34023 Differ. Equations 23, No. 5, 561-569 (1987); translation from Differ. Uravn. 23, No. 5, 825-834 (1987). Reviewer: V.Răsvan MSC: 34C05 PDFBibTeX XMLCite \textit{A. E. Rudenok}, Differ. Equations 23, No. 5, 561--569 (1987; Zbl 0632.34023); translation from Differ. Uravn. 23, No. 5, 825--834 (1987)
Steeb, W.-H.; Kunick, A. Chaos in limit cycle systems with external periodic excitations. (English) Zbl 0631.34040 Int. J. Non-Linear Mech. 22, 349-361 (1987). Reviewer: A.D.Osborne MSC: 34C05 PDFBibTeX XMLCite \textit{W. H. Steeb} and \textit{A. Kunick}, Int. J. Non-Linear Mech. 22, 349--361 (1987; Zbl 0631.34040) Full Text: DOI
Huang, Qiyu Limit cycle for cubic system of Kolmogorov type with centered conic solution. (English) Zbl 0631.34039 Kexue Tongbao, Foreign Lang. Ed. 32, 793-797 (1987). MSC: 34C05 PDFBibTeX XMLCite \textit{Q. Huang}, Kexue Tongbao, Sci. Bull. 32, 793--797 (1987; Zbl 0631.34039)
Mickens, Ronald E. Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method. (English) Zbl 0629.39002 J. Franklin Inst. 324, 263-271 (1987). Reviewer: V.C.Boffi MSC: 39A10 39A11 PDFBibTeX XMLCite \textit{R. E. Mickens}, J. Franklin Inst. 324, 263--271 (1987; Zbl 0629.39002) Full Text: DOI
Teodorescu, Dan Eliminating limit cycles in interconnected systems via describing series. (English) Zbl 0627.93006 Int. J. Control 45, 1059-1066 (1987). MSC: 93A15 70K05 93C10 34C15 93B17 93B50 PDFBibTeX XMLCite \textit{D. Teodorescu}, Int. J. Control 45, 1059--1066 (1987; Zbl 0627.93006) Full Text: DOI
Merkin, J. H.; Needham, D. J.; Scott, S. K. On the creation, growth and extinction of oscillatory solutions for a simple pooled chemical reaction scheme. (English) Zbl 0627.92026 SIAM J. Appl. Math. 47, 1040-1060 (1987). Reviewer: J.Tóth MSC: 92Exx 80A30 34C05 34C15 37G99 PDFBibTeX XMLCite \textit{J. H. Merkin} et al., SIAM J. Appl. Math. 47, 1040--1060 (1987; Zbl 0627.92026) Full Text: DOI
Chakraborty, Tapesh; Rand, Richard H. The transition from phase locking to drift in a system of two weakly coupled van der Pol oscillators. (English) Zbl 0627.70018 Applied mathematics and computing, Trans. 4th Army Conf., Ithaca/N.Y. 1986, ARO Rep. 87-1, 1003-1018 (1987). MSC: 70K20 PDFBibTeX XML
Pade, J.; Rauh, A.; Tsarouhas, G. Application of normal forms to the Lorenz model in the subcritical region. (English) Zbl 0627.58038 Physica D 29, No. 1-2, 236-246 (1987). MSC: 58Z05 37J40 37G99 PDFBibTeX XMLCite \textit{J. Pade} et al., Physica D 29, No. 1--2, 236--246 (1987; Zbl 0627.58038) Full Text: DOI
Katebi, S. D.; Katebi, M. R. Combined frequency and time domain technique for the design of compensators for nonlinear feedback control systems. (English) Zbl 0626.93019 Int. J. Syst. Sci. 18, 2001-2017 (1987). MSC: 93B50 70K05 93C10 93B40 PDFBibTeX XMLCite \textit{S. D. Katebi} and \textit{M. R. Katebi}, Int. J. Syst. Sci. 18, 2001--2017 (1987; Zbl 0626.93019) Full Text: DOI
Carr, Jack; Sanders, Jan A.; van Gils, Stephan A. Nonresonant bifurcations with symmetry. (English) Zbl 0624.34026 SIAM J. Math. Anal. 18, 579-591 (1987). Reviewer: A.Osborne MSC: 34C05 34C25 34C29 PDFBibTeX XMLCite \textit{J. Carr} et al., SIAM J. Math. Anal. 18, 579--591 (1987; Zbl 0624.34026) Full Text: DOI
Kuramoto, Yoshiki; Shinomoto, Shigeru; Sakaguchi, Hidetsugu Active rotator model for large populations of oscillatory and excitable elements. (English) Zbl 0623.92007 Mathematical topics in population biology, morphogenesis and neurosciences, Proc. Int. Symp., Kyoto/Jap. 1985, Lect. Notes Biomath. 71, 329-337 (1987). MSC: 92C05 92Cxx PDFBibTeX XML
Chang, H. C.; Pan, C. T.; Huang, C. L.; Wei, C. C. A general approach for constructing the limit cycle loci of multiple- nonlinearity systems. (English) Zbl 0622.93059 IEEE Trans. Autom. Control 32, 845-848 (1987). MSC: 93D99 93B40 93C10 34C05 70K05 PDFBibTeX XMLCite \textit{H. C. Chang} et al., IEEE Trans. Autom. Control 32, 845--848 (1987; Zbl 0622.93059) Full Text: DOI
Feichtinger, Gustav Limit cycles in economic control models. (English) Zbl 0619.90016 Optimal control and variational calculus, Proc. Conf., Oberwolfach/FRG 1986, Lect. Notes Control Inf. Sci. 95, 46-55 (1987). MSC: 91B62 PDFBibTeX XML
Wang, X.-J.; Nicolis, G. Bifurcation phenomena in coupled chemical oscillators: normal form analysis and numerical simulations. (English) Zbl 0612.58033 Physica D 26, 140-155 (1987). MSC: 37G99 92Exx 65C99 PDFBibTeX XMLCite \textit{X. J. Wang} and \textit{G. Nicolis}, Physica D 26, 140--155 (1987; Zbl 0612.58033) Full Text: DOI
Bajaj, A. K. Bifurcations in a parametrically excited nonlinear oscillator. (English) Zbl 0607.70026 Int. J. Non-Linear Mech. 22, 47-59 (1987). MSC: 70K30 37-XX 70-08 34D30 34C29 PDFBibTeX XMLCite \textit{A. K. Bajaj}, Int. J. Non-Linear Mech. 22, 47--59 (1987; Zbl 0607.70026) Full Text: DOI