Artigue, Michèle; Gautheron, Véronique Differential systems: a graphical study. (Systèmes différentiels: étude graphique.) (French) Zbl 0875.34002 Paris: CEDIC. Paris: Fernand Nathan, 181 p. (1983). MSC: 34-01 58-01 34Cxx 37Cxx PDFBibTeX XMLCite \textit{M. Artigue} and \textit{V. Gautheron}, Systèmes différentiels: étude graphique. Paris: CEDIC; Paris: Fernand Nathan (1983; Zbl 0875.34002)
Kandrup, Henry E. Chaotic flows in a universe with a negative quantum pressure. (English) Zbl 1370.83121 Phys. Rev. D (3) 28, No. 12, 3145-3146 (1983). MSC: 83F05 37D40 37N20 PDFBibTeX XMLCite \textit{H. E. Kandrup}, Phys. Rev. D (3) 28, No. 12, 3145--3146 (1983; Zbl 1370.83121) Full Text: DOI
Piña, Eduardo The dynamics of iterations. (Spanish. English summary) Zbl 1291.37109 Rev. Mex. Fís. 29, No. 2, 173-196 (1983). MSC: 37N05 70G99 PDFBibTeX XMLCite \textit{E. Piña}, Rev. Mex. Fís. 29, No. 2, 173--196 (1983; Zbl 1291.37109)
Watanabe, Osamu Some remarks on theta functions of infinitely many variables. Part II. (English) Zbl 1267.14057 Bull. Aichi Univ. Educ., Nat. Sci. 32, 35-42 (1983). MSC: 14K25 32G20 37K10 PDFBibTeX XMLCite \textit{O. Watanabe}, Bull. Aichi Univ. Educ., Nat. Sci. 32, 35--42 (1983; Zbl 1267.14057)
Aubry, S.; Le Daeron, P. Y. The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states. (English) Zbl 1237.37059 Physica D 8, 381-422 (1983). MSC: 37N05 37J50 37E40 PDFBibTeX XMLCite \textit{S. Aubry} and \textit{P. Y. Le Daeron}, Physica D 8, 381--422 (1983; Zbl 1237.37059) Full Text: DOI
MacKay, R. S. A renormalization approach to invariant circles in area-preserving maps. (English) Zbl 1194.37068 Physica D 7, No. 1-3, 283-300 (1983). MSC: 37E10 37E40 PDFBibTeX XMLCite \textit{R. S. MacKay}, Physica D 7, No. 1--3, 283--300 (1983; Zbl 1194.37068) Full Text: DOI
Bishop, A. R.; Fesser, K.; Lomdahl, P. S.; Trullinger, S. E. Influence of solitons in the initial state on chaos in the driven damped sine-Gordon system. (English) Zbl 1194.35344 Physica D 7, No. 1-3, 259-279 (1983). MSC: 35Q51 35Q55 37D45 PDFBibTeX XMLCite \textit{A. R. Bishop} et al., Physica D 7, No. 1--3, 259--279 (1983; Zbl 1194.35344) Full Text: DOI
Mandelbrot, Benoit B. On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling. (English) Zbl 1194.30028 Physica D 7, No. 1-3, 224-239 (1983). MSC: 30D05 37F45 PDFBibTeX XMLCite \textit{B. B. Mandelbrot}, Physica D 7, No. 1--3, 224--239 (1983; Zbl 1194.30028) Full Text: DOI
Fowler, A. C.; Gibbon, J. D.; Mcguinness, M. J. The real and complex Lorenz equations and their relevance to physical systems. (English) Zbl 1194.76087 Physica D 7, No. 1-3, 126-134 (1983). MSC: 76F99 37N10 PDFBibTeX XMLCite \textit{A. C. Fowler} et al., Physica D 7, No. 1--3, 126--134 (1983; Zbl 1194.76087) Full Text: DOI Link
Lanford, Oscar E. III Period doubling in one and several dimensions. (English) Zbl 1194.34154 Physica D 7, No. 1-3, 124-125 (1983). MSC: 34K99 37D99 PDFBibTeX XMLCite \textit{O. E. Lanford III}, Physica D 7, No. 1--3, 124--125 (1983; Zbl 1194.34154) Full Text: DOI
Guckenheimer, John Persistent properties of bifurcations. (English) Zbl 1194.37001 Physica D 7, No. 1-3, 105-110 (1983). MSC: 37-01 37Gxx PDFBibTeX XMLCite \textit{J. Guckenheimer}, Physica D 7, No. 1--3, 105--110 (1983; Zbl 1194.37001) Full Text: DOI
Ruelle, David Five turbulent problems. (English) Zbl 1194.37095 Physica D 7, No. 1-3, 40-44 (1983). MSC: 37J99 76F99 PDFBibTeX XMLCite \textit{D. Ruelle}, Physica D 7, No. 1--3, 40--44 (1983; Zbl 1194.37095) Full Text: DOI
Meiss, James D.; Cary, John R.; Grebogi, Celso; Crawford, John D.; Kaufman, Allan N.; Abarbanel, Henry D. I. Correlations of periodic, area-preserving maps. (English) Zbl 1194.37017 Physica D 6, No. 3, 375-384 (1983). MSC: 37A99 82B99 93E15 PDFBibTeX XMLCite \textit{J. D. Meiss} et al., Physica D 6, No. 3, 375--384 (1983; Zbl 1194.37017) Full Text: DOI
Pepwski, P. Bifurcation of periodic solutions in a laser with saturable absorber. (English) Zbl 1194.78044 Physica D 6, No. 3, 364-374 (1983). MSC: 78A60 37G99 34C25 34D20 PDFBibTeX XMLCite \textit{P. Pepwski}, Physica D 6, No. 3, 364--374 (1983; Zbl 1194.78044) Full Text: DOI
Augusteijn, Marijke F.; Breitenberger, Ernst Bifurcation in a complex-valued wave-field model. (English) Zbl 1194.37077 Physica D 6, No. 3, 321-336 (1983). MSC: 37G99 35Q40 PDFBibTeX XMLCite \textit{M. F. Augusteijn} and \textit{E. Breitenberger}, Physica D 6, No. 3, 321--336 (1983; Zbl 1194.37077) Full Text: DOI
Allen, Tracy On the arithmetic of phase locking: coupled neurons as a lattice on \(\mathbb{R}^{2}\). (English) Zbl 1194.37170 Physica D 6, No. 3, 305-320 (1983). MSC: 37N25 11A55 PDFBibTeX XMLCite \textit{T. Allen}, Physica D 6, No. 3, 305--320 (1983; Zbl 1194.37170) Full Text: DOI
Franceschini, Valter Bifurcations of tori and phase locking in a dissipative system of differential equations. (English) Zbl 1194.34075 Physica D 6, No. 3, 285-304 (1983). MSC: 34C25 37G99 76D05 PDFBibTeX XMLCite \textit{V. Franceschini}, Physica D 6, No. 3, 285--304 (1983; Zbl 1194.34075) Full Text: DOI
Newman, R. P. A. C.; Percival, I. C. Definite paths and upper bounds on regular regions of velocity phase space. (English) Zbl 1194.37005 Physica D 6, No. 2, 249-259 (1983). MSC: 37-04 37K99 PDFBibTeX XMLCite \textit{R. P. A. C. Newman} and \textit{I. C. Percival}, Physica D 6, No. 2, 249--259 (1983; Zbl 1194.37005) Full Text: DOI
Shtern, V. N. Attractor dimension for the generalized Baker’s transformation. (English) Zbl 1168.37305 Phys. Lett., A 99, No. 6-7, 268-270 (1983). MSC: 37B25 PDFBibTeX XMLCite \textit{V. N. Shtern}, Phys. Lett., A 99, No. 6--7, 268--270 (1983; Zbl 1168.37305) Full Text: DOI
Nimmo, J. J. C. Soliton solution of three differential-difference equations in Wronskian form. (English) Zbl 1168.34365 Phys. Lett., A 99, No. 6-7, 281-286 (1983). MSC: 34K99 35R10 37K40 37K10 PDFBibTeX XMLCite \textit{J. J. C. Nimmo}, Phys. Lett., A 99, No. 6--7, 281--286 (1983; Zbl 1168.34365) Full Text: DOI
Peradzyński, Zbigniew (ed.); Zawistowska, Elżbieta (ed.) Bifurcation and mathematical problems of Navier-Stokes equations. (Bifurkacja i zagadnienia matematyczne równań Naviera-Stokesa). Papers from the summer school on bifurcation, stability and other mathematical problems of Navier-Stokes equations, held in Jabłonna, September 14-20, 1980. Papers from the summer school on bifurcation, stability and other mathematical problems of Navier-Stokes equations, held in Jabłonna, September 14-20, 1980. (Bifurkacja i zagadnienia matematyczne równań Naviera-Stokesa.) (Polish) Zbl 0717.58001 Warsaw: Polska Akademia Nauk, Inst. Podstawowych Problemów Techniki. 164 p. zł 75.00 (1983). MSC: 58-06 00B25 35Q30 76D05 58E07 37G99 PDFBibTeX XMLCite \textit{Z. Peradzyński} (ed.) and \textit{E. Zawistowska} (ed.), Bifurkacja i zagadnienia matematyczne równań Naviera-Stokesa (Polish). Papers from the summer school on bifurcation, stability and other mathematical problems of Navier-Stokes equations, held in Jabłonna, September 14-20, 1980. Warsaw: Polska Akademia Nauk, Inst. Podstawowych Problemów Techniki (1983; Zbl 0717.58001)
Shimanov, S. N. (ed.) Stability and nonlinear oscillations. Collection of scientific works. (Ustojchivest’i nelinejnye kolebaniya. Sbornik nauchnykh trudov.) (Russian) Zbl 0676.34005 Sverdlovsk: Ural’skij Gosudarstvennyj Universitet. 103 p. (1983). MSC: 34-06 70-06 91-06 91Axx 00Bxx 34C20 34C10 34D20 37-XX 34K05 PDFBibTeX XMLCite \textit{S. N. Shimanov} (ed.), Ustojchivest'i nelinejnye kolebaniya. Sbornik nauchnykh trudov (Russian). Sverdlovsk: Ural'skij Gosudarstvennyj Universitet (1983; Zbl 0676.34005)
Ajzenshtejn, M. Kh.; Shpil’berg, M. I. The orbit structure of a piecewise linear action of a control group. (Russian) Zbl 0699.58058 Vopr. Teor. Grupp Gomologicheskoj Algebry 1983, 70-73 (1983). MSC: 37C10 PDFBibTeX XML
Arnol’d, V. I. Singularities, bifurcations and catastrophes. (Russian) Zbl 0643.58013 Usp. Fiz. Nauk 141, No. 4, 569-590 (1983). MSC: 37G99 58C25 58K99 78A05 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Usp. Fiz. Nauk 141, No. 4, 569--590 (1983; Zbl 0643.58013) Full Text: DOI
Robnik, M. Classical dynamics of a family of billiards with analytic boundaries. (English) Zbl 0622.70011 J. Phys. A 16, 3971-3986 (1983). MSC: 37D50 37J40 37D45 70K55 37D20 PDFBibTeX XMLCite \textit{M. Robnik}, J. Phys. A, Math. Gen. 16, 3971--3986 (1983; Zbl 0622.70011) Full Text: DOI
Bachratý, Karol On the stability of a model for the Belousov-Zhabotinskij reaction. (English) Zbl 0619.34055 Acta Math. Univ. Comenianae 42-43, 225-234 (1983). Reviewer: J.M.Skowronski MSC: 34D20 34D40 34A34 37-XX PDFBibTeX XMLCite \textit{K. Bachratý}, Acta Math. Univ. Comenianae 42--43, 225--234 (1983; Zbl 0619.34055)
Broer, L. J. F.; ten Eikelder, H. M. M. Generalized Hamiltonians for nonlinear evolution equations. (English) Zbl 0616.70017 Trends in applications of pure mathematics to mechanics IV, Pap. 4th Symp., Bratislava/Czech. 1981, Monogr. Stud. Math. 20, 19-36 (1983). MSC: 70H05 37J99 37J35 37K10 35Q99 81Q05 PDFBibTeX XML
Eckmann, J. P. Route to chaos with special emphasis on period doubling. (English) Zbl 0616.58032 Chaotic behaviour of deterministic systems, Les Houches/Fr. 1981, Sess. 36, 453-511 (1983). MSC: 37D45 37G99 58C25 37C75 PDFBibTeX XML
Scheidl, R.; Troger, H.; Zeman, K. Application of bifurcation and decrement diagrams of matrices to the modelling of mechanical systems. (English) Zbl 0615.73059 Trends in applications of pure mathematics to mechanics IV, Pap. 4th Symp., Bratislava/Czech. 1981, Monogr. Stud. Math. 20, 249-266 (1983). MSC: 74G60 70J25 37G99 37D45 70J30 PDFBibTeX XML
Babij, A. V. On the investigation of a dynamical system on the plane. (Russian) Zbl 0612.34039 Dynamics of non-homogeneous systems, Mater. Semin., Moskva 1983, 220-222 (1983). MSC: 37-XX PDFBibTeX XML
Mandelbrot, Benoit B. Self-inverse fractals osculated by sigma-discs and the limit sets of inversion groups. (English) Zbl 0609.30045 Math. Intell. 5, No. 2, 9-17 (1983). Reviewer: T.A.Metzger MSC: 30F40 30-04 37A99 11F06 PDFBibTeX XMLCite \textit{B. B. Mandelbrot}, Math. Intell. 5, No. 2, 9--17 (1983; Zbl 0609.30045) Full Text: DOI
Chen, Zhaokuan Application of the theory of branching of solutions of nonlinear equations to the analysis of the perturbation in the state observer of linear systems. (Chinese. English summary) Zbl 0606.93026 J. Shandong Univ., Nat. Sci. Ed. 1983, No. 1, 24-33 (1983). MSC: 93B35 34D10 37G99 93C05 PDFBibTeX XMLCite \textit{Z. Chen}, J. Shandong Univ., Nat. Sci. Ed. 1983, No. 1, 24--33 (1983; Zbl 0606.93026)
Smòlski, A. Canonical manifolds as reductions of symplectic manifolds. (English) Zbl 0605.58024 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 361-367 (1983). Reviewer: P.Dazord MSC: 37J99 37C85 PDFBibTeX XML
Iooss, Gérard Modelling of the transition to turbulence. (Modélisation de la transition vers la turbulence.) (French) Zbl 0604.76041 Sémin. Bourbaki, 35e année, Vol. 1982/83, Exp. No. 607, Astérisque 105-106, 179-197 (1983). Reviewer: J.Spicker MSC: 76F99 70K50 37D45 37G99 PDFBibTeX XML Full Text: Numdam EuDML
Topology and economics. Proceedings of a Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, July 6-9, 1982. (Japanese) Zbl 0603.90001 RIMS Kôkyûroku, 478. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. II, 226 p. (1983). Reviewer: Y.Sakai MSC: 90-06 91B14 91B60 91B50 91B62 54H10 37G99 00B25 PDFBibTeX XML
Babin, A. V.; Vishik, M. I. Attractors of parabolic equations and Navier-Stokes systems and estimates of their dimension. (Russian) Zbl 0603.35044 General theory of boundary value problems, Collect. sci. Works, Kiev 1983, 14-25 (1983). MSC: 35K55 35Q30 37C70 47H20 PDFBibTeX XML
De Blasi, F. S.; Myjak, J. Generic flows generated by continuous vector fields in Banach spaces. (English) Zbl 0601.34033 Adv. Math. 50, 266-280 (1983). MSC: 37C10 PDFBibTeX XMLCite \textit{F. S. De Blasi} and \textit{J. Myjak}, Adv. Math. 50, 266--280 (1983; Zbl 0601.34033) Full Text: DOI
Chirikov, B. V. Nature and properties of dynamical chaos. (Russian) Zbl 0599.58034 Group theoretical methods in physics, Vol. II, Proc. Int. Semin., Zvenigorod 1982, 389-400 (1983). MSC: 37D45 PDFBibTeX XML
Makhan’kov, V. G.; Pashaev, O. K. A new integrable model of the quantum field theory in the space of states with an indefinite metric. (Russian) Zbl 0599.58028 Group theoretical methods in physics, Vol. II, Proc. Int. Semin., Zvenigorod 1982, 349-354 (1983). MSC: 37J35 37K10 81T99 PDFBibTeX XML
Leznov, A. N.; Fedoseev, I. A. Two-dimensional, exactly integrable dynamical systems in quantum domain. (Russian) Zbl 0599.58027 Group theoretical methods in physics, Vol. II, Proc. Int. Semin., Zvenigorod 1982, 344-349 (1983). MSC: 37J35 37K10 PDFBibTeX XML
Nikolaevskij, E. S.; Shchur, L. N. Symmetry of the Hamiltonian, intersection of separatrices and non- integrability of the Yang-Mills fields. (Russian) Zbl 0599.58023 Group theoretical methods in physics, Vol. II, Proc. Int. Semin., Zvenigorod 1982, 401-407 (1983). MSC: 37J99 37J35 37K10 PDFBibTeX XML
Samojlenko, V. G.; Prikarpatskij, A. K. Periodic problem for a Toda chain. (English. Russian original) Zbl 0599.35127 Ukr. Math. J. 34, 380-385 (1983); translation from Ukr. Mat. Zh. 34, 469-475 (1982). MSC: 35Q99 37J35 37K10 70F99 PDFBibTeX XMLCite \textit{V. G. Samojlenko} and \textit{A. K. Prikarpatskij}, Ukr. Math. J. 34, 380--385 (1983; Zbl 0599.35127); translation from Ukr. Mat. Zh. 34, 469--475 (1982) Full Text: DOI
Lyubimov, D. V.; Zaks, M. A. Two mechanisms of the transition to chaos in finite-dimensional models of convection. (English) Zbl 0598.58029 Physica D 9, 52-64 (1983). MSC: 37D45 76E15 PDFBibTeX XMLCite \textit{D. V. Lyubimov} and \textit{M. A. Zaks}, Physica D 9, 52--64 (1983; Zbl 0598.58029) Full Text: DOI
Lyubich, M. Yu. Some typical properties of the dynmics of rational maps. (English) Zbl 0598.58028 Russ. Math. Surv. 38, No. 5, 154-155 (1983). MSC: 37C75 26A18 PDFBibTeX XMLCite \textit{M. Yu. Lyubich}, Russ. Math. Surv. 38, No. 5, 154--155 (1983; Zbl 0598.58028) Full Text: DOI
Fernández, Francisco M.; Arteca, Gustavo A.; Castro, Eduardo A. Analytical expressions for the eigenvalues of anharmonic oscillators. (English) Zbl 0597.58025 Physica A 122, 37-49 (1983). MSC: 37A30 81Q15 PDFBibTeX XMLCite \textit{F. M. Fernández} et al., Physica A 122, 37--49 (1983; Zbl 0597.58025) Full Text: DOI
Osipenko, G. S. On the symbolic image of a dynamical system. (Russian) Zbl 0597.34048 Boundary value problems, Interuniv. Collect. sci. Works, Perm’ 1983, 101-105 (1983). Reviewer: K.Barckow MSC: 37-XX 34C25 PDFBibTeX XML
Raeva, M. B. On a singular point of the ”center” type for a certain nonlinear differential equation. (Bulgarian. English, Russian summaries) Zbl 0597.34025 God. Vissh. Uchebn. Zaved., Prilozhna Mat. 19(1984), No. 3, 61-65 (1983). MSC: 34C05 37-XX PDFBibTeX XMLCite \textit{M. B. Raeva}, God. Vissh. Uchebn. Zaved., Prilozh. Mat. 19, No. 3, 61--65 (1983; Zbl 0597.34025)
Zhuravlev, S. G. Conditionally periodic motions in the attraction field of a rotating triaxial ellipsoid. (English. Russian original) Zbl 0596.70015 J. Appl. Math. Mech. 47, 728-732 (1985); translation from Prikl. Mat. Mekh. 47, 905-915 (1983). Reviewer: A.Muracchini MSC: 70H05 37G99 37J99 PDFBibTeX XMLCite \textit{S. G. Zhuravlev}, J. Appl. Math. Mech. 47, 728--732 (1983; Zbl 0596.70015); translation from Prikl. Mat. Mekh. 47, 905--915 (1983) Full Text: DOI
Nonlinear phenomena and dynamical systems. Proceedings of a Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, July 6-9, 1983. (Japanese) Zbl 0596.58002 RIMS Kôkyûroku, 506. Kyoto: Kyoto University Research Institute for Mathematical Sciences. II, 279 p. (1983). MSC: 58-06 00B25 58-04 37D45 PDFBibTeX XML
Zakharov, V. E.; Mikhaĭlov, A. V. Method of the inverse scattering problem with spectral parameter on an algebraic curve. (English. Russian original) Zbl 0596.35120 Funct. Anal. Appl. 17, 247-251 (1983); translation from Funkts. Anal. Prilozh. 17, No. 4, 1-6 (1983). Reviewer: P. Holod MSC: 35P05 35R30 14H45 37K15 PDFBibTeX XMLCite \textit{V. E. Zakharov} and \textit{A. V. Mikhaĭlov}, Funct. Anal. Appl. 17, 247--251 (1983; Zbl 0596.35120); translation from Funkts. Anal. Prilozh. 17, No. 4, 1--6 (1983) Full Text: DOI
Krichever, I. M. Nonlinear equations and elliptic curves. (English. Russian original) Zbl 0595.35087 J. Sov. Math. 28, 51-90 (1985); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 23, 79-136 (1983). Reviewer: G.-Z.Tu MSC: 35Q99 37J35 37K10 33E05 PDFBibTeX XMLCite \textit{I. M. Krichever}, J. Sov. Math. 28, 51--90 (1983; Zbl 0595.35087); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 23, 79--136 (1983) Full Text: DOI
Lyubich, M. Yu. On typical behavior of the trajectories of a rational mapping of the sphere. (English. Russian original) Zbl 0595.30034 Sov. Math., Dokl. 27, 22-25 (1983); translation from Dokl. Akad. Nauk SSSR 268, 29-32 (1983). MSC: 30D05 37A99 28D99 PDFBibTeX XMLCite \textit{M. Yu. Lyubich}, Sov. Math., Dokl. 27, 22--25 (1983; Zbl 0595.30034); translation from Dokl. Akad. Nauk SSSR 268, 29--32 (1983)
van Moerbeke, P. The algebraic complete integrability of Hamiltonian systems. (English) Zbl 0594.70022 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 443-456 (1983). Reviewer: T.Ratiu MSC: 70H25 37D40 53D25 PDFBibTeX XML
Widom, Michael; Bensimon, David; Kadanoff, Leo P.; Shenker, Scott J. Strange objects in the complex plane. (English) Zbl 0594.58031 J. Stat. Phys. 32, 443-454 (1983). MSC: 37D45 37J99 30D05 PDFBibTeX XMLCite \textit{M. Widom} et al., J. Stat. Phys. 32, 443--454 (1983; Zbl 0594.58031) Full Text: DOI
Nicolis, J. S.; Mayer-Kress, Gottfried; Haubs, G. Non-uniform chaotic dynamics with implications to information processing. (English) Zbl 0593.58026 Z. Naturforsch. A 38, 1157-1169 (1983). MSC: 37D45 37N99 PDFBibTeX XMLCite \textit{J. S. Nicolis} et al., Z. Naturforsch., A 38, 1157--1169 (1983; Zbl 0593.58026)
Grassberger, Peter; Procaccia, Itamar Measuring the strangeness of strange attractors. (English) Zbl 0593.58024 Physica D 9, 189-208 (1983). Reviewer: R.Devaney MSC: 37D45 28A80 37D25 37A35 PDFBibTeX XMLCite \textit{P. Grassberger} and \textit{I. Procaccia}, Physica D 9, 189--208 (1983; Zbl 0593.58024) Full Text: DOI
Souriau, J. M. Géométrie globale du problème à deux corps. (Global geometry of the two-body problem). (French) Zbl 0592.70013 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 369-418 (1983). MSC: 70F05 37J99 37C10 PDFBibTeX XML
Araki, Huzihiro; Barouch, Eytan On the dynamics and ergodic properties of the XY model. (English) Zbl 0591.58019 J. Stat. Phys. 31, 327-345 (1983). MSC: 37A99 PDFBibTeX XMLCite \textit{H. Araki} and \textit{E. Barouch}, J. Stat. Phys. 31, 327--345 (1983; Zbl 0591.58019) Full Text: DOI
Chen, H. H.; Lee, Y. C.; Lin, Jeng-Eng On a new hierarchy of symmetries for the Kadomtsev-Petviashvili equation. (English) Zbl 0591.35054 Physica D 9, 439-445 (1983). Reviewer: B. G. Konopelchenko (Novosibirsk) MSC: 35Q53 37K30 35L65 PDFBibTeX XMLCite \textit{H. H. Chen} et al., Physica D 9, 439--445 (1983; Zbl 0591.35054) Full Text: DOI
Jabłoński, M. On invariant measures for piecewise \(C^ 2\)-transformations of the n- dimensional cube. (English) Zbl 0591.28014 Ann. Pol. Math. 43, 185-195 (1983). Reviewer: K.Krzyzewski MSC: 28D05 37A99 37D99 PDFBibTeX XMLCite \textit{M. Jabłoński}, Ann. Pol. Math. 43, 185--195 (1983; Zbl 0591.28014) Full Text: DOI
Fowler, A. C. Note on a paper by G. Rowlands. (English) Zbl 0589.58022 J. Phys. A 16, 3139-3143 (1983). MSC: 37J40 37D45 PDFBibTeX XMLCite \textit{A. C. Fowler}, J. Phys. A, Math. Gen. 16, 3139--3143 (1983; Zbl 0589.58022) Full Text: DOI
Rowlands, G. An approximate analytic solution of the Lorenz equations. (English) Zbl 0589.58021 J. Phys. A 16, 585-590 (1983). MSC: 37J40 37D45 PDFBibTeX XMLCite \textit{G. Rowlands}, J. Phys. A, Math. Gen. 16, 585--590 (1983; Zbl 0589.58021) Full Text: DOI
Pelczar, A. Semi-stability of motions and regular dependence of limit sets on points in general semi-systems. (English) Zbl 0589.34041 Ann. Pol. Math. 42, 263-282 (1983). Reviewer: N.Luca MSC: 37-XX 34D20 34C05 PDFBibTeX XMLCite \textit{A. Pelczar}, Ann. Pol. Math. 42, 263--282 (1983; Zbl 0589.34041) Full Text: DOI
Osikawa, M. Flows associated with product type odometers. (English) Zbl 0589.28012 Ergodic Theory Dyn. Syst. 3, 601-611 (1983). Reviewer: D.Ramachandran MSC: 28D10 37C10 PDFBibTeX XMLCite \textit{M. Osikawa}, Ergodic Theory Dyn. Syst. 3, 601--611 (1983; Zbl 0589.28012) Full Text: DOI
Rössler, Otto E. The chaotic hierarchy. (English) Zbl 0588.58048 Z. Naturforsch. A 38, 788-801 (1983). MSC: 37D45 PDFBibTeX XMLCite \textit{O. E. Rössler}, Z. Naturforsch., A 38, 788--801 (1983; Zbl 0588.58048)
Uehleke, Bernhard; Rössler, Otto E. Complicated Poincaré half-maps in a linear system. (English) Zbl 0588.58047 Z. Naturforsch. A 38, 1107-1113 (1983). MSC: 37D45 92Cxx PDFBibTeX XMLCite \textit{B. Uehleke} and \textit{O. E. Rössler}, Z. Naturforsch., A 38, 1107--1113 (1983; Zbl 0588.58047)
Tsuchiya, Taskashi; Szabo, Attila; Saitô, Nobuhiko Exact solutions of simple nonlinear difference equation systems that show chaotic behavior. (English) Zbl 0588.58043 Z. Naturforsch. A 38, 1035-1039 (1983). MSC: 37D45 PDFBibTeX XMLCite \textit{T. Tsuchiya} et al., Z. Naturforsch., A 38, 1035--1039 (1983; Zbl 0588.58043)
Mayer, D.; Roepstorff, G. Strange attractors and asymptotic measures of discrete-time dissipative systems. (English) Zbl 0588.58040 J. Stat. Phys. 31, 308-326 (1983). MSC: 37D45 58C35 PDFBibTeX XMLCite \textit{D. Mayer} and \textit{G. Roepstorff}, J. Stat. Phys. 31, 308--326 (1983; Zbl 0588.58040) Full Text: DOI
Gaspard, P.; Nicolis, G. What can we learn from homoclinic orbits in chaotic dynamics ? (English) Zbl 0587.58035 J. Stat. Phys. 31, 499-518 (1983). MSC: 37G99 37D45 PDFBibTeX XMLCite \textit{P. Gaspard} and \textit{G. Nicolis}, J. Stat. Phys. 31, 499--518 (1983; Zbl 0587.58035) Full Text: DOI
Gambaudo, Jean-Marc; Tresser, Charles Simple models for bifurcations creating horseshoes. (English) Zbl 0587.58034 J. Stat. Phys. 32, 455-476 (1983). MSC: 37G99 37D99 PDFBibTeX XMLCite \textit{J.-M. Gambaudo} and \textit{C. Tresser}, J. Stat. Phys. 32, 455--476 (1983; Zbl 0587.58034) Full Text: DOI
Knobloch, E.; Wiesenfeld, K. A. Bifurcations in fluctuating systems: The center-manifold approach. (English) Zbl 0587.58033 J. Stat. Phys. 33, 611-638 (1983). MSC: 37G99 82B30 PDFBibTeX XMLCite \textit{E. Knobloch} and \textit{K. A. Wiesenfeld}, J. Stat. Phys. 33, 611--638 (1983; Zbl 0587.58033) Full Text: DOI
Tél, Tamás Invariant curves, attractors, and phase diagram of a piecewise linear map with chaos. (English) Zbl 0587.58028 J. Stat. Phys. 33, 195-222 (1983). MSC: 37C70 37D45 PDFBibTeX XMLCite \textit{T. Tél}, J. Stat. Phys. 33, 195--222 (1983; Zbl 0587.58028) Full Text: DOI
Tulczyjew, W. M. Geometric foundations of Lagrangian mechanics. (English) Zbl 0585.70015 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 419-442 (1983). MSC: 70H05 37J99 PDFBibTeX XML
Iglesias, P. Les systèmes dynamiques à deux spins. (French) Zbl 0585.58025 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 171-176 (1983). Reviewer: G.Tu MSC: 37J99 PDFBibTeX XML
Kanevski, Dmitri On the algebro-geometric structure of the moduli space of completely reachable systems. (English) Zbl 0585.14036 J. Pure Appl. Algebra 29, 143-150 (1983). MSC: 14M05 37-XX 15A15 14D20 14J10 20G15 14L35 PDFBibTeX XMLCite \textit{D. Kanevski}, J. Pure Appl. Algebra 29, 143--150 (1983; Zbl 0585.14036) Full Text: DOI
Feingold, Mario; Peres, Asher Regular and chaotic motion of coupled rotators. (English) Zbl 0584.58030 Physica D 9, 433-438 (1983). Reviewer: H.Crauel MSC: 37D45 PDFBibTeX XMLCite \textit{M. Feingold} and \textit{A. Peres}, Physica D 9, 433--438 (1983; Zbl 0584.58030) Full Text: DOI
Watanabe, Yoshihide Hamiltonian structure of Sato’s hierarchy of KP equations and a coadjoint orbit of a certain formal Lie group. (English) Zbl 0584.58021 Lett. Math. Phys. 7, 99-106 (1983). Reviewer: D.J.Simms MSC: 37J35 37K10 35G10 35K25 PDFBibTeX XMLCite \textit{Y. Watanabe}, Lett. Math. Phys. 7, 99--106 (1983; Zbl 0584.58021) Full Text: DOI
Knobloch, E.; Weiss, N. O. Bifurcations in a model of magnetoconvection. (English) Zbl 0583.76057 Physica D 9, 379-407 (1983). MSC: 76E25 76X05 76M99 37N10 PDFBibTeX XMLCite \textit{E. Knobloch} and \textit{N. O. Weiss}, Physica D 9, 379--407 (1983; Zbl 0583.76057) Full Text: DOI
Lerman, L. M.; Umanskij, Ya. L. Necessary conditions for the existence of heteroclinic trajectories in an integral Hamiltonian system with two degrees of freedom. (English) Zbl 0582.70023 Russ. Math. Surv. 38, No. 5, 150-151 (1983). MSC: 70K05 70H05 37D45 PDFBibTeX XMLCite \textit{L. M. Lerman} and \textit{Ya. L. Umanskij}, Russ. Math. Surv. 38, No. 5, 150--151 (1983; Zbl 0582.70023) Full Text: DOI
Chenciner, A. Bifurcations de difféomorphismes de \({\mathbb{R}}^ 2\) au voisinage d’un point fixe elliptique. (French) Zbl 0582.58025 Chaotic behaviour of deterministic systems, Les Houches/Fr. 1981, Sess. 36, 273-348 (1983). MSC: 37G99 PDFBibTeX XML
Preston, Chris Iterates of maps on an interval. (English) Zbl 0582.58001 Lecture Notes in Mathematics. 999. Berlin-Heidelberg-New York-Tokyo: Springer-Verlag. VII, 205 p. DM 28.00; $ 11.60 (1983). Reviewer: A.Pelczar MSC: 58-02 54H20 26A18 37G99 PDFBibTeX XML
Irtegov, V. D. On bifurcations of stationary motions. (Russian) Zbl 0581.34033 Dynamics of nonlinear systems, Work Collect., Novosibirsk 1983, 122-132 (1983). Reviewer: G.A.Leonov MSC: 34C25 37G99 PDFBibTeX XML
Mañé, Ricardo Introduction to ergodic theory. (Introdução à teoria ergódica). (Portuguese) Zbl 0581.28010 Projeto Euclides, 14. Rio de Janeiro: Instituto de Matemática Pura e Aplicada. Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq). VIII, 389 p. (1983). Reviewer: P.Morales MSC: 28D05 28-02 37D99 28D20 57R50 PDFBibTeX XML
Kharlamov, M. P. Bifurcation of common levels of first integrals of the Kovalevskaya problem. (English. Russian original) Zbl 0579.70003 J. Appl. Math. Mech. 47, 737-743 (1985); translation from Prikl. Mat. Mekh. 47, 922-930 (1983). Reviewer: Y.-Z.Liu MSC: 70E15 37G99 37N99 PDFBibTeX XMLCite \textit{M. P. Kharlamov}, J. Appl. Math. Mech. 47, 737--743 (1983; Zbl 0579.70003); translation from Prikl. Mat. Mekh. 47, 922--930 (1983) Full Text: DOI arXiv
Banyaga, A.; Urwin, R. W. On the cohomology of the diffeomorphisms group. (English) Zbl 0579.58006 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 7-34 (1983). Reviewer: D.McDuff MSC: 58D05 57T99 37J99 58D30 PDFBibTeX XML
Aulbach, Bernd Continuous and discrete dynamics near manifolds of equilibria. (English) Zbl 0579.34034 Mathematische Fakultät der Bayrischen Julius-Maximilians-Universität Würzburg. 136 S. (1983). MSC: 34C40 34-02 34C30 37Cxx 92D10 PDFBibTeX XML
Pomeau, Y. The intermittent transition to turbulence. (English) Zbl 0578.76059 Nonlinear dynamics and turbulence, 295-304 (1983). Reviewer: V.Perlick MSC: 76Fxx 70K50 37D45 PDFBibTeX XML
Hénon, Michel Numerical exploration of Hamiltonian systems. (English) Zbl 0578.70019 Chaotic behaviour of deterministic systems, Les Houches/Fr. 1981, Sess. 36, 53-170 (1983). Reviewer: V.Perlick MSC: 70Kxx 37C75 70H05 37D45 PDFBibTeX XML
Shcherbakov, S. A. Uniform boundedness of the first derivative of the solution of the matrix Jacobi equation. (Russian) Zbl 0578.58037 Questions of differential geometry ”in the large”, Interuniv. Collect. sci. Works, Leningrad 1983, 132-136 (1983). Reviewer: J.Czyz MSC: 37-XX PDFBibTeX XML
Bunimovich, L. A. Statistical properties of Lorenz attractors. (English) Zbl 0578.58025 Nonlinear dynamics and turbulence, 71-92 (1983). Reviewer: G.Goodson MSC: 37C70 PDFBibTeX XML
Totoki, Haruo Pseudo-Markov transformations. (English) Zbl 0578.58024 Ann. Pol. Math. 41, 149-155 (1983). MSC: 37A99 28D05 PDFBibTeX XMLCite \textit{H. Totoki}, Ann. Pol. Math. 41, 149--155 (1983; Zbl 0578.58024) Full Text: DOI
Meshcheryakov, M. V. A characteristic property of the inertial tensor of a multidimensional solid body. (English) Zbl 0578.58021 Russ. Math. Surv. 38, No. 5, 156-157 (1983). MSC: 37J99 58A20 PDFBibTeX XMLCite \textit{M. V. Meshcheryakov}, Russ. Math. Surv. 38, No. 5, 156--157 (1983; Zbl 0578.58021) Full Text: DOI
Givental’, A. B. Lagrangian manifolds with singularities and irreducible \(sl_ 2\)- modules. (English) Zbl 0578.58020 Russ. Math. Surv. 38, No. 6, 121-122 (1983). MSC: 37J99 58E15 PDFBibTeX XMLCite \textit{A. B. Givental'}, Russ. Math. Surv. 38, No. 6, 121--122 (1983; Zbl 0578.58020) Full Text: DOI
Mandelbrot, Benoit B. Self-inverse fractals osculated by sigma-discs and the limit sets of inversion groups. (English) Zbl 0578.30036 Math. Intell. 5, No. 2, 9-17 (1983). MSC: 30F35 37A99 11F06 PDFBibTeX XMLCite \textit{B. B. Mandelbrot}, Math. Intell. 5, No. 2, 9--17 (1983; Zbl 0578.30036) Full Text: DOI
Sell, George R. Resonance and bifurcation in Hopf-Landau dynamical systems. (English) Zbl 0577.76055 Nonlinear dynamics and turbulence, 305-313 (1983). Reviewer: V.Perlick MSC: 76Fxx 37D45 70K50 37G99 PDFBibTeX XML
Marsden, J. E.; Weinstein, A.; Ratiu, T.; Schmid, R.; Spencer, R. G. Hamiltonian systems with symmetry, coadjoint orbits and plasma physics. (English) Zbl 0577.58013 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 289-340 (1983). Reviewer: V.Perlick MSC: 37J99 22E65 76X05 58B25 58J99 22E70 76W05 PDFBibTeX XML
Kutepov, S. A.; Yakovenko, G. N. Group-theoretic aspects of optimal control. (Russian) Zbl 0577.49010 Kibern. Vychisl. Tekh., Kiev 58, 28-35 (1983). Reviewer: M.Sury MSC: 49K15 57S15 37J99 PDFBibTeX XMLCite \textit{S. A. Kutepov} and \textit{G. N. Yakovenko}, Kibern. Vychisl. Tekh. 58, 28--35 (1983; Zbl 0577.49010)
Kahane, Jean-Pierre Quatre leçons sur les homéomorphismes du cercle et les séries de Fourier. (French) Zbl 0577.42003 Topics in modern harmonic analysis, Proc. Semin., Torino and Milano 1982, Vol. II, 955-990 (1983). MSC: 42A16 37A99 PDFBibTeX XML
Millionshchikov, V. M. Baire function classes and Lyapunov indices. XII. (English. Russian original) Zbl 0577.34043 Differ. Equations 19, 155-159 (1983); translation from Differ. Uravn. 19, No. 2, 215-220 (1983). Reviewer: S.Zhuravlev MSC: 34D20 58A35 37-XX 54C56 55R99 PDFBibTeX XMLCite \textit{V. M. Millionshchikov}, Differ. Equations 19, 155--159 (1983; Zbl 0577.34043); translation from Differ. Uravn. 19, No. 2, 215--220 (1983)
Millionshchikov, V. M. Baire function classes and Lyapunov indices. XI. (English. Russian original) Zbl 0577.34042 Differ. Equations 19, 139-154 (1983); translation from Differ. Uravn. 19, No. 2, 196-214 (1983). Reviewer: S.Zhuravlev MSC: 34D20 58A35 37-XX 54C50 55R99 PDFBibTeX XMLCite \textit{V. M. Millionshchikov}, Differ. Equations 19, 139--154 (1983; Zbl 0577.34042); translation from Differ. Uravn. 19, No. 2, 196--214 (1983)