Chacón, R.; García-Hoz, A. Martínez; Palmero, F. Amplitude modulation control of spatiotemporal chaos in starlike networks of damped-driven pendula. (English) Zbl 07808014 Physica D 457, Article ID 133950, 9 p. (2024). MSC: 70-XX PDFBibTeX XMLCite \textit{R. Chacón} et al., Physica D 457, Article ID 133950, 9 p. (2024; Zbl 07808014) Full Text: DOI
Doroshin, Anton V.; Eremenko, Alexandr V. Heteroclinic chaos detecting in dissipative mechanical systems: chaotic regimes of compound nanosatellites dynamics. (English) Zbl 1528.70031 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107525, 20 p. (2023). MSC: 70M20 70K55 70K44 PDFBibTeX XMLCite \textit{A. V. Doroshin} and \textit{A. V. Eremenko}, Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107525, 20 p. (2023; Zbl 1528.70031) Full Text: DOI
Revuelta, F.; Arranz, F. J.; Benito, R. M.; Borondo, F. Unraveling the highly nonlinear dynamics of KCN molecular system using Lagrangian descriptors. (English) Zbl 1523.81214 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107265, 14 p. (2023). MSC: 81V55 70J10 37D10 70H03 37D45 70M20 14J25 35B38 PDFBibTeX XMLCite \textit{F. Revuelta} et al., Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107265, 14 p. (2023; Zbl 1523.81214) Full Text: DOI
Lubchenko, D. O.; Savin, A. V. Critical velocity for the onset of fast Fermi acceleration. (English) Zbl 07614846 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250177, 11 p. (2022). MSC: 70F35 70Kxx PDFBibTeX XMLCite \textit{D. O. Lubchenko} and \textit{A. V. Savin}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250177, 11 p. (2022; Zbl 07614846) Full Text: DOI
Rajpoot, Garima; Kumari, Komal; Joshi, Sandeep; Jain, Sudhir R. The tunable \(0-\pi\) qubit: dynamics and relaxation. (English) Zbl 1486.81063 Int. J. Quantum Inf. 20, No. 1, Article ID 2150032, 19 p. (2022). MSC: 81P68 68Q12 81S08 70S15 70H05 30B20 82D55 35B34 81P15 46L07 PDFBibTeX XMLCite \textit{G. Rajpoot} et al., Int. J. Quantum Inf. 20, No. 1, Article ID 2150032, 19 p. (2022; Zbl 1486.81063) Full Text: DOI
Briozzo, Carlos B. A generic impulsive controller for Hamiltonian linear time-periodic systems. (English) Zbl 1498.70026 Chaos Solitons Fractals 153, Part 1, Article ID 111557, 29 p. (2021). MSC: 70H12 34C25 34H05 37N35 70Q05 PDFBibTeX XMLCite \textit{C. B. Briozzo}, Chaos Solitons Fractals 153, Part 1, Article ID 111557, 29 p. (2021; Zbl 1498.70026) Full Text: DOI
Cincotta, Pablo M.; Giordano, Claudia M.; Alves Silva, Raphael; Beaugé, Cristián The Shannon entropy: an efficient indicator of dynamical stability. (English) Zbl 1493.37012 Physica D 417, Article ID 132816, 10 p. (2021). MSC: 37A35 37J40 94A17 70F07 PDFBibTeX XMLCite \textit{P. M. Cincotta} et al., Physica D 417, Article ID 132816, 10 p. (2021; Zbl 1493.37012) Full Text: DOI Link
Boldizsár, Bálint; Kovács, Tamás; Vanyó, József A new perturbative solution to the motion around triangular Lagrangian points in the elliptic restricted three-body problem. (English) Zbl 1481.70054 Celest. Mech. Dyn. Astron. 133, No. 6, Paper No. 23, 14 p. (2021). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 37N05 70H09 PDFBibTeX XMLCite \textit{B. Boldizsár} et al., Celest. Mech. Dyn. Astron. 133, No. 6, Paper No. 23, 14 p. (2021; Zbl 1481.70054) Full Text: DOI arXiv
Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan Normal forms and averaging in an acceleration problem in nonholonomic mechanics. (English) Zbl 1465.70056 Chaos 31, No. 1, 013132, 16 p. (2021). MSC: 70F25 37J60 PDFBibTeX XMLCite \textit{I. Bizyaev} et al., Chaos 31, No. 1, 013132, 16 p. (2021; Zbl 1465.70056) Full Text: DOI
Rashkovskiy, Sergey Hamilton-Jacobi theory for Hamiltonian and non-Hamiltonian systems. (English) Zbl 1482.70020 J. Geom. Mech. 12, No. 4, 563-583 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 70H20 70S05 37Jxx PDFBibTeX XMLCite \textit{S. Rashkovskiy}, J. Geom. Mech. 12, No. 4, 563--583 (2020; Zbl 1482.70020) Full Text: DOI arXiv
Náprstek, Jiří; Fischer, Cyril Stable and unstable solutions in auto-parametric resonance zone of a non-holonomic system. (English) Zbl 1430.70045 Nonlinear Dyn. 99, No. 1, 299-312 (2020). MSC: 70F25 70K20 70K28 70K30 PDFBibTeX XMLCite \textit{J. Náprstek} and \textit{C. Fischer}, Nonlinear Dyn. 99, No. 1, 299--312 (2020; Zbl 1430.70045) Full Text: DOI
Burov, Alexander; Guerman, Anna; Kosenko, Ivan Satellite with periodical mass redistribution: relative equilibria and their stability. (English) Zbl 1448.70086 Celest. Mech. Dyn. Astron. 131, No. 1, Paper No. 1, 12 p. (2019). MSC: 70P05 70E55 70M20 PDFBibTeX XMLCite \textit{A. Burov} et al., Celest. Mech. Dyn. Astron. 131, No. 1, Paper No. 1, 12 p. (2019; Zbl 1448.70086) Full Text: DOI
Bizyaev, I. A.; Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S. Fermi-like acceleration and power-law energy growth in nonholonomic systems. (English) Zbl 1418.37106 Nonlinearity 32, No. 9, 3209-3233 (2019). MSC: 37J60 34A34 70F25 PDFBibTeX XMLCite \textit{I. A. Bizyaev} et al., Nonlinearity 32, No. 9, 3209--3233 (2019; Zbl 1418.37106) Full Text: DOI arXiv
Doroshin, Anton V. Chaos as the hub of systems dynamics. I: The attitude control of spacecraft by involving in the heteroclinic chaos. (English) Zbl 1510.70061 Commun. Nonlinear Sci. Numer. Simul. 59, 47-66 (2018). MSC: 70K55 37D45 70K44 PDFBibTeX XMLCite \textit{A. V. Doroshin}, Commun. Nonlinear Sci. Numer. Simul. 59, 47--66 (2018; Zbl 1510.70061) Full Text: DOI
Ryzhov, E. A.; Koshel, K. V. Steady and perturbed motion of a point vortex along a boundary with a circular cavity. (English) Zbl 1364.76034 Phys. Lett., A 380, No. 7-8, 896-902 (2016). MSC: 76B47 76M40 70K55 PDFBibTeX XMLCite \textit{E. A. Ryzhov} and \textit{K. V. Koshel}, Phys. Lett., A 380, No. 7--8, 896--902 (2016; Zbl 1364.76034) Full Text: DOI
Ray, Somrita; Baura, Alendu; Bag, Bidhan Chandra Magnetic field induced dynamical chaos. (English) Zbl 1331.78008 Chaos 23, No. 4, 043121, 7 p. (2013). MSC: 78A35 37D45 37N20 70K55 70H05 PDFBibTeX XMLCite \textit{S. Ray} et al., Chaos 23, No. 4, 043121, 7 p. (2013; Zbl 1331.78008) Full Text: DOI
Hou, Xi-Yun; Liu, Lin On quasi-periodic motions around the collinear libration points in the real Earth-Moon system. (English) Zbl 1270.70019 Celest. Mech. Dyn. Astron. 110, No. 1, 71-98 (2011). MSC: 70F05 70F07 70K43 PDFBibTeX XMLCite \textit{X.-Y. Hou} and \textit{L. Liu}, Celest. Mech. Dyn. Astron. 110, No. 1, 71--98 (2011; Zbl 1270.70019) Full Text: DOI
Llibre, Jaume; Stoica, Cristina Comet- and Hill-type periodic orbits in restricted \((N+1)\)-body problems. (English) Zbl 1375.70040 J. Differ. Equations 250, No. 3, 1747-1766 (2011). MSC: 70F10 37J40 37N05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Stoica}, J. Differ. Equations 250, No. 3, 1747--1766 (2011; Zbl 1375.70040) Full Text: DOI
Novaković, B.; Tsiganis, K.; Knežević, Z. Dynamical portrait of the Lixiaohua asteroid family. (English) Zbl 1291.70044 Celest. Mech. Dyn. Astron. 107, No. 1-2, 35-49 (2010). MSC: 70F15 PDFBibTeX XMLCite \textit{B. Novaković} et al., Celest. Mech. Dyn. Astron. 107, No. 1--2, 35--49 (2010; Zbl 1291.70044) Full Text: DOI
Okniński, Andrzej; Radziszewski, Bogusław Dynamics of impacts with a table moving with piecewise constant velocity. (English) Zbl 1183.70032 Nonlinear Dyn. 58, No. 3, 515-523 (2009). MSC: 70F35 70F16 70K42 PDFBibTeX XMLCite \textit{A. Okniński} and \textit{B. Radziszewski}, Nonlinear Dyn. 58, No. 3, 515--523 (2009; Zbl 1183.70032) Full Text: DOI
Akulenko, L. D.; Kovaleva, A. S. Estimation of time of perturbed Lagrangian system being in given domain. (Russian, English) Zbl 1189.70049 Prikl. Mat. Mekh. 73, No. 2, 163-175 (2009); translation in J. Appl. Math. Mech. 73, No. 2, 115-123 (2009). Reviewer: A. A. Martynyuk (Kyïv) MSC: 70H03 70E05 PDFBibTeX XMLCite \textit{L. D. Akulenko} and \textit{A. S. Kovaleva}, Prikl. Mat. Mekh. 73, No. 2, 163--175 (2009; Zbl 1189.70049); translation in J. Appl. Math. Mech. 73, No. 2, 115--123 (2009)
Lhotka, Christoph Dynamic expansion points: an extension to Hadjidemetriou’s mapping method. (English) Zbl 1165.70016 Celest. Mech. Dyn. Astron. 104, No. 1-2, 175-189 (2009). MSC: 70F15 70H09 PDFBibTeX XMLCite \textit{C. Lhotka}, Celest. Mech. Dyn. Astron. 104, No. 1--2, 175--189 (2009; Zbl 1165.70016) Full Text: DOI
Bourdier, A. Dynamics of a charged particle in a progressive plane wave. (English) Zbl 1375.78011 Physica D 238, No. 2, 226-232 (2009). MSC: 78A35 37J30 70H06 PDFBibTeX XMLCite \textit{A. Bourdier}, Physica D 238, No. 2, 226--232 (2009; Zbl 1375.78011) Full Text: DOI
Radnović, M.; Rom-Kedar, V. Foliations of isonergy surfaces and singularities of curves. (English) Zbl 1229.37074 Regul. Chaotic Dyn. 13, No. 6, 645-668 (2008). MSC: 37J35 70H06 37C15 70H08 PDFBibTeX XMLCite \textit{M. Radnović} and \textit{V. Rom-Kedar}, Regul. Chaotic Dyn. 13, No. 6, 645--668 (2008; Zbl 1229.37074) Full Text: DOI arXiv
Hennig, D. Directed transient long-range transport in a slowly driven Hamiltonian system of interacting particles. (English) Zbl 1225.82042 Phys. Lett., A 372, No. 41, 6260-6264 (2008). MSC: 82C22 82C70 82C24 70H05 37D45 82C80 68U20 PDFBibTeX XMLCite \textit{D. Hennig}, Phys. Lett., A 372, No. 41, 6260--6264 (2008; Zbl 1225.82042) Full Text: DOI arXiv
Chotorlishvili, L.; Skrinnikov, V. Non-reversible evolution of quantum chaotic system. Kinetic description. (English) Zbl 1217.81094 Phys. Lett., A 372, No. 6, 761-768 (2008). MSC: 81Q50 70K55 82C03 PDFBibTeX XMLCite \textit{L. Chotorlishvili} and \textit{V. Skrinnikov}, Phys. Lett., A 372, No. 6, 761--768 (2008; Zbl 1217.81094) Full Text: DOI arXiv
Martins-Filho, Luiz S.; Macau, Elbert E. N. Patrol mobile robots and chaotic trajectories. (English) Zbl 1360.70012 Math. Probl. Eng. 2007, Spec. Issue, Article ID 61543, 13 p. (2007). MSC: 70E60 37D45 70K55 PDFBibTeX XMLCite \textit{L. S. Martins-Filho} and \textit{E. E. N. Macau}, Math. Probl. Eng. 2007, Article ID 61543, 13 p. (2007; Zbl 1360.70012) Full Text: DOI
Arribas, M.; Blesa, F.; Elipe, A. Quadratic Hamiltonians on non-symmetric Poisson structures. (English) Zbl 1140.37349 Chaos Solitons Fractals 31, No. 2, 489-499 (2007). MSC: 37J05 70G45 70H05 PDFBibTeX XMLCite \textit{M. Arribas} et al., Chaos Solitons Fractals 31, No. 2, 489--499 (2007; Zbl 1140.37349) Full Text: DOI
Callegari, N.; Yokoyama, T. Dynamics of two satellites in the 2/1 mean-motion resonance: application to the case of Enceladus and Dione. (English) Zbl 1111.70011 Celest. Mech. Dyn. Astron. 98, No. 1, 5-30 (2007). MSC: 70F15 70F07 70G10 PDFBibTeX XMLCite \textit{N. Callegari} and \textit{T. Yokoyama}, Celest. Mech. Dyn. Astron. 98, No. 1, 5--30 (2007; Zbl 1111.70011) Full Text: DOI
Khasin, Michael; Friedland, Lazar Removal of resonances by rotation in linearly degenerate two-dimensional oscillator systems. (English) Zbl 1137.70356 J. Math. Phys. 48, No. 4, 042701, 11 p. (2007). MSC: 70K28 34C15 70H12 PDFBibTeX XMLCite \textit{M. Khasin} and \textit{L. Friedland}, J. Math. Phys. 48, No. 4, 042701, 11 p. (2007; Zbl 1137.70356) Full Text: DOI Link
Kovaleva, A. S.; Akulenko, L. D. Estimation of the sojourn time of a weakly perturbed Lagrangian system in a given region. (English. Russian original) Zbl 1378.93115 Dokl. Math. 74, No. 3, 930-933 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 1, 25-29 (2006). MSC: 93E03 34F05 34C29 37J05 37N35 62G05 70H03 PDFBibTeX XMLCite \textit{A. S. Kovaleva} and \textit{L. D. Akulenko}, Dokl. Math. 74, No. 3, 930--933 (2006; Zbl 1378.93115); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 1, 25--29 (2006) Full Text: DOI
Wu, X.; Zhu, J. F.; He, J. Z.; Zhang, H. On stabilization of energy for Hamiltonian systems. (English) Zbl 1196.37095 Comput. Phys. Commun. 175, No. 1, 15-24 (2006). MSC: 37J25 37M15 70-08 70H05 70H14 PDFBibTeX XMLCite \textit{X. Wu} et al., Comput. Phys. Commun. 175, No. 1, 15--24 (2006; Zbl 1196.37095) Full Text: DOI
Lan, Boon Leong Comparison of the Newtonian and relativistic predicted trajectories for a low-speed periodically delta-kicked system. (English) Zbl 1146.70339 Chaos 16, No. 3, 033107, 5 p. (2006). MSC: 70K99 83-XX PDFBibTeX XMLCite \textit{B. L. Lan}, Chaos 16, No. 3, 033107, 5 p. (2006; Zbl 1146.70339) Full Text: DOI arXiv
Antonopoulos, Chris; Bountis, Tassos; Skokos, Charalampos Chaotic dynamics of \(N\)-degree of freedom Hamiltonian systems. (English) Zbl 1140.70466 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 6, 1777-1793 (2006). Reviewer: Fuhua Ling (Shenyang) MSC: 70H05 37N05 37D45 PDFBibTeX XMLCite \textit{C. Antonopoulos} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 6, 1777--1793 (2006; Zbl 1140.70466) Full Text: DOI arXiv
Ukolov, Yu. A.; Chekanov, N. A.; Gusev, A. A.; Rostovtsev, V. A.; Vinitsky, S. I.; Uwano, Y. A REDUCE program for the normalization of polynomial Hamiltonians. (English) Zbl 1196.70006 Comput. Phys. Commun. 166, No. 1, 66-80 (2005). MSC: 70-04 65P10 70H05 70H15 PDFBibTeX XMLCite \textit{Yu. A. Ukolov} et al., Comput. Phys. Commun. 166, No. 1, 66--80 (2005; Zbl 1196.70006) Full Text: DOI
Lazutkin, V. F. Splitting of separatrices for the Chirikov standard map. (English. Russian original) Zbl 1120.37039 J. Math. Sci., New York 128, No. 2, 2687-2705 (2005); translation from Zap. Nauchn. Semin. POMI 300, 25-55 (2003). MSC: 37J40 34C37 37J10 54H20 70H09 PDFBibTeX XMLCite \textit{V. F. Lazutkin}, J. Math. Sci., New York 128, No. 2, 2687--2705 (2005; Zbl 1120.37039); translation from Zap. Nauchn. Semin. POMI 300, 25--55 (2003) Full Text: DOI
Damgov, Vladimir; Trenchev, Plamen; Sheiretsky, Kostadin “Oscillator–wave” model: Properties and heuristic instances. (English) Zbl 1098.34533 Chaos Solitons Fractals 17, No. 1, 41-60 (2003). MSC: 34C15 70K40 PDFBibTeX XMLCite \textit{V. Damgov} et al., Chaos Solitons Fractals 17, No. 1, 41--60 (2003; Zbl 1098.34533) Full Text: DOI
Murakami, Chieko; Murakami, Wakako; Hirose, Kei-ichi; Ichikawa, Yoshi. H. Global periodic structure of integrable Duffing’s maps. (English) Zbl 1098.37053 Chaos Solitons Fractals 16, No. 2, 233-244 (2003). MSC: 37J10 70K99 PDFBibTeX XMLCite \textit{C. Murakami} et al., Chaos Solitons Fractals 16, No. 2, 233--244 (2003; Zbl 1098.37053) Full Text: DOI
Petrov, A. G. A parametric method for constructing Poincaré mappings in hydrodynamic systems. (English. Russian original) Zbl 1037.37038 J. Appl. Math. Mech. 66, No. 6, 905-921 (2002); translation from Prikl. Mat. Mekh. 66, No. 6, 948-967 (2002). Reviewer: A. Ja. Olejnik (Kyïv) MSC: 37N10 34C28 70H05 76F20 PDFBibTeX XMLCite \textit{A. G. Petrov}, Prikl. Mat. Mekh. 66, No. 6, 948--967 (2002; Zbl 1037.37038); translation from Prikl. Mat. Mekh. 66, No. 6, 948--967 (2002)
Chandre, C.; Jauslin, H. R. Renormalization-group analysis for the transition to chaos in Hamiltonian systems. (English) Zbl 0994.70013 Phys. Rep. 365, No. 1, 1-64 (2002). MSC: 70H14 70H15 37N05 PDFBibTeX XMLCite \textit{C. Chandre} and \textit{H. R. Jauslin}, Phys. Rep. 365, No. 1, 1--64 (2002; Zbl 0994.70013) Full Text: DOI
Litvak-Hinenzon, Anna; Rom-Kedar, Vered Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems. (English) Zbl 1036.70010 Physica D 164, No. 3-4, 213-250 (2002). Reviewer: Alexei Tsygvintsev (Lyon) MSC: 70H08 70K55 PDFBibTeX XMLCite \textit{A. Litvak-Hinenzon} and \textit{V. Rom-Kedar}, Physica D 164, No. 3--4, 213--250 (2002; Zbl 1036.70010) Full Text: DOI
Olvera, Arturo Estimation of the amplitude of resonance in the general standard map. (English) Zbl 1010.70013 Exp. Math. 10, No. 3, 401-418 (2001). Reviewer: Václav Burjan (Praha) MSC: 70H15 37N05 PDFBibTeX XMLCite \textit{A. Olvera}, Exp. Math. 10, No. 3, 401--418 (2001; Zbl 1010.70013) Full Text: DOI Euclid EuDML
Hanßmann, Heinz The reversible umbilic bifurcation. (English) Zbl 1194.37080 Physica D 112, No. 1-2, 81-94 (1998). MSC: 37G99 34C23 70E05 70H05 70H33 PDFBibTeX XMLCite \textit{H. Hanßmann}, Physica D 112, No. 1--2, 81--94 (1998; Zbl 1194.37080) Full Text: DOI
Corso, G.; Pakter, R.; Caldas, I. L.; Rizzato, F. B. Bifurcation-reconnection sequences in nonpendular resonance. (English) Zbl 0963.70547 Chaos Solitons Fractals 9, No. 3, 377-392 (1998). MSC: 70H14 70H05 70K50 78A35 PDFBibTeX XMLCite \textit{G. Corso} et al., Chaos Solitons Fractals 9, No. 3, 377--392 (1998; Zbl 0963.70547) Full Text: DOI
Glück, M.; Kolovsky, A. R.; Korsch, H. J. Diffusion on a chaotic attractor. (English) Zbl 0903.58023 Physica D 116, No. 3-4, 283-288 (1998). MSC: 37D45 70K50 PDFBibTeX XMLCite \textit{M. Glück} et al., Physica D 116, No. 3--4, 283--288 (1998; Zbl 0903.58023) Full Text: DOI
Gelfreich, V. G. Melnikov method and exponentially small splitting of separatrices. (English) Zbl 0896.70011 Physica D 101, No. 3-4, 227-248 (1997). MSC: 70H05 37J40 PDFBibTeX XMLCite \textit{V. G. Gelfreich}, Physica D 101, No. 3--4, 227--248 (1997; Zbl 0896.70011) Full Text: DOI
Abdullaev, S. S. Renormalization invariance of a Hamiltonian system near the saddle point. (English) Zbl 1044.37520 Phys. Lett., A 234, No. 4, 281-290 (1997). MSC: 37J40 70H05 PDFBibTeX XMLCite \textit{S. S. Abdullaev}, Phys. Lett., A 234, No. 4, 281--290 (1997; Zbl 1044.37520) Full Text: DOI
Ozorio de Almeida, A. M.; Vieira, W. M. Extended convergence of normal forms around unstable equilibria. (English) Zbl 0962.37506 Phys. Lett., A 227, No. 5-6, 298-300 (1997). MSC: 37G05 34C20 70H05 PDFBibTeX XMLCite \textit{A. M. Ozorio de Almeida} and \textit{W. M. Vieira}, Phys. Lett., A 227, No. 5--6, 298--300 (1997; Zbl 0962.37506) Full Text: DOI
Rom-Kedar, Vered; Dvorkin, Yona; Paldor, Nathan Chaotic Hamiltonian dynamics of particle’s horizontal motion in the atmosphere. (English) Zbl 1040.86501 Physica D 106, No. 3-4, 389-431 (1997). MSC: 86A10 37D45 37N20 70H05 70K50 PDFBibTeX XMLCite \textit{V. Rom-Kedar} et al., Physica D 106, No. 3--4, 389--431 (1997; Zbl 1040.86501) Full Text: DOI
Froeschle, C.; Lega, E. Global symplectic polynomial approximation of area-preserving maps. (English) Zbl 0891.39009 J. Difference Equ. Appl. 3, No. 2, 169-184 (1997). Reviewer: P.Talpalaru (Iaşi) MSC: 39A10 37C75 70F15 PDFBibTeX XMLCite \textit{C. Froeschle} and \textit{E. Lega}, J. Difference Equ. Appl. 3, No. 2, 169--184 (1997; Zbl 0891.39009) Full Text: DOI
Šidlichovský, Miloš Mapping and dynamical systems. (English) Zbl 0889.70008 Celest. Mech. Dyn. Astron. 65, No. 1-2, 69-84 (1997). MSC: 70F15 70-02 37B99 PDFBibTeX XMLCite \textit{M. Šidlichovský}, Celest. Mech. Dyn. Astron. 65, No. 1--2, 69--84 (1997; Zbl 0889.70008) Full Text: DOI
Roy, R. Valéry Probabilistic analysis of a nonlinear pendulum. (English) Zbl 0895.70016 Acta Mech. 115, No. 1-4, 87-101 (1996). Reviewer: Á.Bosznay (Budapest) MSC: 70L05 70K40 PDFBibTeX XMLCite \textit{R. V. Roy}, Acta Mech. 115, No. 1--4, 87--101 (1996; Zbl 0895.70016) Full Text: DOI
Koiller, Jair; Markarian, Roberto; Kamphorst, Sylvie Oliffson; Pinto de Carvalho, Sônia Static and time-dependent perturbations of the classical elliptical billiard. (English) Zbl 1081.37530 J. Stat. Phys. 83, No. 1-2, 127-143 (1996). MSC: 37J45 70H99 70K20 82C05 PDFBibTeX XMLCite \textit{J. Koiller} et al., J. Stat. Phys. 83, No. 1--2, 127--143 (1996; Zbl 1081.37530) Full Text: DOI
Liu, Jie Invariant manifolds and their stability in a three-dimensional measure-preserving mapping system. (English) Zbl 0838.70011 Appl. Math. Mech., Engl. Ed. 16, No. 10, 943-950 (1995). MSC: 70F05 70F15 37B99 37C80 PDFBibTeX XMLCite \textit{J. Liu}, Appl. Math. Mech., Engl. Ed. 16, No. 10, 943--950 (1995; Zbl 0838.70011) Full Text: DOI
Moszyński, Marcin On classical intrinsically resonant formal perturbation theory. (English) Zbl 0832.70016 Ann. Inst. Henri Poincaré, Phys. Théor. 63, No. 2, 125-154 (1995). MSC: 70H05 37J40 37G05 PDFBibTeX XMLCite \textit{M. Moszyński}, Ann. Inst. Henri Poincaré, Phys. Théor. 63, No. 2, 125--154 (1995; Zbl 0832.70016) Full Text: Numdam EuDML
Bolotin, Yu. L.; Gonchar, V. Yu.; Granovsky, M. Ya. The regularity-chaos-regularity transition in a periodically driven anharmonic oscillator. (English) Zbl 0900.70338 Physica D 86, No. 3, 500-507 (1995). MSC: 70K50 37D45 PDFBibTeX XMLCite \textit{Yu. L. Bolotin} et al., Physica D 86, No. 3, 500--507 (1995; Zbl 0900.70338) Full Text: DOI
Szczepański, Janusz; Wajnryb, Eligiusz Do ergodic or chaotic properties of the reflection law imply ergodicity or chaotic behavior of a particle’s motion? (English) Zbl 0845.70010 Chaos Solitons Fractals 5, No. 1, 77-89 (1995). Reviewer: V.Perlick (Berlin) MSC: 70F35 37A99 37D45 PDFBibTeX XMLCite \textit{J. Szczepański} and \textit{E. Wajnryb}, Chaos Solitons Fractals 5, No. 1, 77--89 (1995; Zbl 0845.70010) Full Text: DOI
Heyns, L. J.; Krüger, J. J. A describing-function based criterion for a route to chaos in autonomous nonlinear systems. (English) Zbl 0821.34060 Int. J. Control 61, No. 1, 211-228 (1995). MSC: 34D45 37D45 70K50 93D05 PDFBibTeX XMLCite \textit{L. J. Heyns} and \textit{J. J. Krüger}, Int. J. Control 61, No. 1, 211--228 (1995; Zbl 0821.34060) Full Text: DOI
Lamba, H. Chaotic, regular and unbounded behaviour in the elastic impact oscillator. (English) Zbl 0900.70341 Physica D 82, No. 1-2, 117-135 (1995). MSC: 70K50 37D45 74M20 PDFBibTeX XMLCite \textit{H. Lamba}, Physica D 82, No. 1--2, 117--135 (1995; Zbl 0900.70341) Full Text: DOI arXiv
Kivshar, Yuri S.; Spatschek, Karl H. Nonlinear dynamics and solitons in the presence of rapidly varying periodic perturbations. (English) Zbl 1080.35523 Chaos Solitons Fractals 5, No. 12, 2551-2569 (1995). MSC: 35Q51 34C15 70K99 PDFBibTeX XMLCite \textit{Y. S. Kivshar} and \textit{K. H. Spatschek}, Chaos Solitons Fractals 5, No. 12, 2551--2569 (1995; Zbl 1080.35523) Full Text: DOI
Müller, Peter C. Calculation of Lyapunov exponents for dynamic systems with discontinuities. (English) Zbl 1080.34540 Chaos Solitons Fractals 5, No. 9, 1671-1681 (1995). MSC: 34D08 70K40 70K50 PDFBibTeX XMLCite \textit{P. C. Müller}, Chaos Solitons Fractals 5, No. 9, 1671--1681 (1995; Zbl 1080.34540) Full Text: DOI
Sekar, P.; Narayanan, S. Chaos in mechanical systems – a review. (English) Zbl 1014.37023 Sādhanā 20, No. 2-4, 529-582 (1995). MSC: 37D45 37-02 70K50 74Hxx PDFBibTeX XMLCite \textit{P. Sekar} and \textit{S. Narayanan}, Sādhanā 20, No. 2--4, 529--582 (1995; Zbl 1014.37023) Full Text: DOI
Zhou, Jilin; Fu, Yanning; Sun, Yisui Mapping models for near-conservative systems with applications. (English) Zbl 0820.70016 Celest. Mech. Dyn. Astron. 60, No. 4, 471-487 (1994). MSC: 70H05 37J99 PDFBibTeX XMLCite \textit{J. Zhou} et al., Celest. Mech. Dyn. Astron. 60, No. 4, 471--487 (1994; Zbl 0820.70016) Full Text: DOI
Liu, Jie; Sun, Yi Sui Chaotic motion of comets in near-parabolic orbit: Mapping approaches. (English) Zbl 0838.70014 Celest. Mech. Dyn. Astron. 60, No. 1, 3-28 (1994). Reviewer: P.K.Seidelmann (Washington) MSC: 70F15 37B99 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Y. S. Sun}, Celest. Mech. Dyn. Astron. 60, No. 1, 3--28 (1994; Zbl 0838.70014) Full Text: DOI
Gelfreich, V. G.; Lazutkin, V. F.; Svanidze, N. V. A refined formula for the separatrix splitting for the standard map. (English) Zbl 0812.70017 Physica D 71, No. 1-2, 82-101 (1994). MSC: 70K99 37B99 34C37 PDFBibTeX XMLCite \textit{V. G. Gelfreich} et al., Physica D 71, No. 1--2, 82--101 (1994; Zbl 0812.70017) Full Text: DOI
Bountis, Tassos; Kollmann, Michael Diffusion rates in a 4-dimensional mapping model of accelerator dynamics. (English) Zbl 0820.58040 Physica D 71, No. 1-2, 122-131 (1994). Reviewer: P.Garbaczewski (Wrocław) MSC: 37D45 70K50 PDFBibTeX XMLCite \textit{T. Bountis} and \textit{M. Kollmann}, Physica D 71, No. 1--2, 122--131 (1994; Zbl 0820.58040) Full Text: DOI Link
Wood, B. P.; Lichtenberg, A. J.; Lieberman, M. A. Arnold and Arnold-like diffusion in many dimensions. (English) Zbl 0820.58044 Physica D 71, No. 1-2, 132-145 (1994). Reviewer: P.Garbaczewski (Wrocław) MSC: 37D45 70K50 PDFBibTeX XMLCite \textit{B. P. Wood} et al., Physica D 71, No. 1--2, 132--145 (1994; Zbl 0820.58044) Full Text: DOI
Kaneko, Kunihiko; Konishi, Tetsuro Peeling the onion of order and chaos in a high-dimensional Hamiltonian system. (English) Zbl 0810.70017 Physica D 71, No. 1-2, 146-167 (1994). MSC: 70H99 37D45 PDFBibTeX XMLCite \textit{K. Kaneko} and \textit{T. Konishi}, Physica D 71, No. 1--2, 146--167 (1994; Zbl 0810.70017) Full Text: DOI arXiv
Bazzani, A.; Siboni, S.; Turchetti, G. Diffusion in Hamiltonian systems with a small stochastic perturbation. (English) Zbl 1194.34117 Physica D 76, No. 1-3, 8-21 (1994). MSC: 34F05 37N05 70H05 PDFBibTeX XMLCite \textit{A. Bazzani} et al., Physica D 76, No. 1--3, 8--21 (1994; Zbl 1194.34117) Full Text: DOI
Wan, Yieh-Hei Product normal forms for families of symplectic maps with symmetries. (English) Zbl 0804.58021 Nonlinear Anal., Theory Methods Appl. 22, No. 5, 649-674 (1994). Reviewer: Yu.E.Gliklikh (Voronezh) MSC: 37J99 37C80 37G05 70H33 PDFBibTeX XMLCite \textit{Y.-H. Wan}, Nonlinear Anal., Theory Methods Appl. 22, No. 5, 649--674 (1994; Zbl 0804.58021) Full Text: DOI
Chernikov, A. A.; Schmidt, G. Chaotic motion of colliding oscillators. (English) Zbl 0961.78500 Phys. Lett., A 184, No. 4-5, 328-332 (1994). MSC: 78A35 37D45 70K50 37J40 PDFBibTeX XMLCite \textit{A. A. Chernikov} and \textit{G. Schmidt}, Phys. Lett., A 184, No. 4--5, 328--332 (1994; Zbl 0961.78500) Full Text: DOI
Markeev, A. P. Third-order resonance in a Hamiltonian system with one degree of freedom. (English. Russian original) Zbl 0884.58047 J. Appl. Math. Mech. 58, No. 5, 793-804 (1994); translation from Prikl. Mat. Mekh. 58, No. 5, 37-48 (1994). MSC: 37J99 70H05 PDFBibTeX XMLCite \textit{A. P. Markeev}, J. Appl. Math. Mech. 58, No. 5, 793--804 (1994; Zbl 0884.58047); translation from Prikl. Mat. Mekh. 58, No. 5, 37--48 (1994) Full Text: DOI
Váradi, F. Branching solutions and Lie series. (English) Zbl 0784.70003 Celest. Mech. Dyn. Astron. 57, No. 4, 517-536 (1993). MSC: 70-08 70F15 65H99 PDFBibTeX XMLCite \textit{F. Váradi}, Celest. Mech. Dyn. Astron. 57, No. 4, 517--536 (1993; Zbl 0784.70003) Full Text: DOI
Hadjidemetriou, John D. Asteroid motion near the 3:1 resonance. (English) Zbl 0780.70008 Celest. Mech. Dyn. Astron. 56, No. 4, 563-599 (1993). MSC: 70F15 37C75 37J40 PDFBibTeX XMLCite \textit{J. D. Hadjidemetriou}, Celest. Mech. Dyn. Astron. 56, No. 4, 563--599 (1993; Zbl 0780.70008) Full Text: DOI
Hadjidemetriou, John D. Resonant motion in the restricted three-body problem. (English) Zbl 0780.70004 Celest. Mech. Dyn. Astron. 56, No. 1-2, 201-219 (1993). MSC: 70F07 70F15 PDFBibTeX XMLCite \textit{J. D. Hadjidemetriou}, Celest. Mech. Dyn. Astron. 56, No. 1--2, 201--219 (1993; Zbl 0780.70004) Full Text: DOI
Morbidelli, Alessandro An introduction to Hamiltonian dynamical systems and practical perturbation methods: New insight by successive elimination of perturbation harmonics. (English) Zbl 0779.70010 Celest. Mech. Dyn. Astron. 56, No. 1-2, 177-190 (1993). MSC: 70F15 37J40 PDFBibTeX XMLCite \textit{A. Morbidelli}, Celest. Mech. Dyn. Astron. 56, No. 1--2, 177--190 (1993; Zbl 0779.70010) Full Text: DOI
Hagel, Johannes; Trenkler, Thomas A computer aided analysis of the Sitnikov problem. (English) Zbl 0780.70005 Celest. Mech. Dyn. Astron. 56, No. 1-2, 81-98 (1993). MSC: 70F07 70-08 PDFBibTeX XMLCite \textit{J. Hagel} and \textit{T. Trenkler}, Celest. Mech. Dyn. Astron. 56, No. 1--2, 81--98 (1993; Zbl 0780.70005) Full Text: DOI
Valkering, T. P.; van Gils, S. A. Bifurcation of periodic orbits near a frequency maximum in near- integrable driven oscillators with friction. (English) Zbl 0778.70017 Z. Angew. Math. Phys. 44, No. 1, 103-130 (1993). Reviewer: E.Brommundt (Braunschweig) MSC: 70K40 37G99 PDFBibTeX XMLCite \textit{T. P. Valkering} and \textit{S. A. van Gils}, Z. Angew. Math. Phys. 44, No. 1, 103--130 (1993; Zbl 0778.70017) Full Text: DOI
Emel’yanenko, V. V. Dynamics of periodic comets and meteor streams. (English) Zbl 0850.70127 Celestial Mech. Dyn. Astron. 54, No. 1-3, 91-110 (1992). MSC: 70F15 PDFBibTeX XMLCite \textit{V. V. Emel'yanenko}, Celest. Mech. Dyn. Astron. 54, No. 1--3, 91--110 (1992; Zbl 0850.70127) Full Text: DOI
Bellissard, J.; Vaienti, S. Rigorous diffusion properties for the sawtooth map. (English) Zbl 0756.58029 Commun. Math. Phys. 144, No. 3, 521-536 (1992). Reviewer: H.Crauel (Saarbrücken) MSC: 37A99 60F17 70K50 PDFBibTeX XMLCite \textit{J. Bellissard} and \textit{S. Vaienti}, Commun. Math. Phys. 144, No. 3, 521--536 (1992; Zbl 0756.58029) Full Text: DOI
Dovbysh, S. A. Kolmogorov stability, the impossibility of Fermi acceleration and the existence of periodic solutions in some Hamiltonian-type systems. (English. Russian original) Zbl 0786.70011 J. Appl. Math. Mech. 56, No. 2, 188-197 (1992); translation from Prikl. Mat. Mekh. 56, No. 2, 218-229 (1992). MSC: 70H05 37C75 PDFBibTeX XMLCite \textit{S. A. Dovbysh}, J. Appl. Math. Mech. 56, No. 2, 1 (1992; Zbl 0786.70011); translation from Prikl. Mat. Mekh. 56, No. 2, 218--229 (1992) Full Text: DOI
Mahmoud, Gamal M. On periodic orbits of nonlinear dynamical systems with many degrees of freedom. (English) Zbl 0776.34033 Physica A 181, No. 3-4, 385-395 (1992). MSC: 34C25 70K40 34C15 34C29 34A45 PDFBibTeX XMLCite \textit{G. M. Mahmoud}, Physica A 181, No. 3--4, 385--395 (1992; Zbl 0776.34033) Full Text: DOI
Dong, Guangmao; Liu, Zengrong; Xu, Zhengfan Stochasticity near resonances in a kind of near-integrable Hamiltonian systems based on Smale horseshoes. (English) Zbl 0760.70016 Appl. Math. Mech., Engl. Ed. 13, No. 1, 11-16 (1992). MSC: 70K50 37J99 37D45 PDFBibTeX XMLCite \textit{G. Dong} et al., Appl. Math. Mech., Engl. Ed. 13, No. 1, 11--16 (1992; Zbl 0760.70016) Full Text: DOI
Goedde, C. G.; Lichtenberg, A. J.; Lieberman, M. A. Chaos and the approach to equilibrium in a discrete sine-Gordon equation. (English) Zbl 0761.58014 Physica D 59, No. 1-3, 200-225 (1992). MSC: 37D45 39A12 70H05 PDFBibTeX XMLCite \textit{C. G. Goedde} et al., Physica D 59, No. 1--3, 200--225 (1992; Zbl 0761.58014) Full Text: DOI
Bontempi, F.; Casciati, F.; Faravelli, L. Chaotic motion versus stochastic excitation. (English) Zbl 0759.34040 Chaos Solitons Fractals 1, No. 6, 491-500 (1991). Reviewer: J.Lacroix (Paris) MSC: 34D08 34F05 65C20 70K50 60H10 65J99 PDFBibTeX XMLCite \textit{F. Bontempi} et al., Chaos Solitons Fractals 1, No. 6, 491--500 (1991; Zbl 0759.34040) Full Text: DOI
Scheininger, C.; Kleber, M. Quantum to classical correspondence for the Fermi-acceleration model. (English) Zbl 0732.70008 Physica D 50, No. 3, 391-404 (1991). MSC: 70G10 81Q05 PDFBibTeX XMLCite \textit{C. Scheininger} and \textit{M. Kleber}, Physica D 50, No. 3, 391--404 (1991; Zbl 0732.70008) Full Text: DOI
Dykman, George I.; Landa, Polina S.; Nejmark, Yuri I. Synchronizing the chaotic oscillations by external force. (English) Zbl 0744.34038 Chaos Solitons Fractals 1, No. 4, 339-353 (1991). MSC: 34C15 34C25 70K50 65J99 PDFBibTeX XMLCite \textit{G. I. Dykman} et al., Chaos Solitons Fractals 1, No. 4, 339--353 (1991; Zbl 0744.34038) Full Text: DOI
Gladman, Brett; Duncan, Martin; Candy, Jeff Symplectic integrators for long-term integrations in celestial mechanics. (English) Zbl 0744.70016 Celestial Mech. Dyn. Astron. 52, No. 3, 221-240 (1991). MSC: 70F15 70-08 37J99 PDFBibTeX XMLCite \textit{B. Gladman} et al., Celest. Mech. Dyn. Astron. 52, No. 3, 221--240 (1991; Zbl 0744.70016) Full Text: DOI
Murray, N. W. Critical function for the standard map. (English) Zbl 0739.70013 Physica D 52, No. 2-3, 220-245 (1991). MSC: 70K30 37J99 37K35 PDFBibTeX XMLCite \textit{N. W. Murray}, Physica D 52, No. 2--3, 220--245 (1991; Zbl 0739.70013) Full Text: DOI
Valkering, T. P.; Zeegers, Th. Period doubling solitons: Yes or no? (English) Zbl 0737.70014 Physica D 51, No. 1-3, 360-375 (1991). MSC: 70K50 37J99 PDFBibTeX XMLCite \textit{T. P. Valkering} and \textit{Th. Zeegers}, Physica D 51, No. 1--3, 360--375 (1991; Zbl 0737.70014) Full Text: DOI Link
Tong, Xiaohua; Rimrott, Fred P. J. Numerical studies on chaotic planar motion of satellites in an elliptic orbit. (English) Zbl 0742.58051 Chaos Solitons Fractals 1, No. 2, 179-186 (1991). Reviewer: W.Sarlet (Gent) MSC: 37N99 70M20 PDFBibTeX XMLCite \textit{X. Tong} and \textit{F. P. J. Rimrott}, Chaos Solitons Fractals 1, No. 2, 179--186 (1991; Zbl 0742.58051) Full Text: DOI
da Costa, N. C. A.; Doria, F. A. Undecidability and incompleteness in classical mechanics. (English) Zbl 0850.70023 Int. J. Theor. Phys. 30, No. 8, 1041-1073 (1991). MSC: 03D35 03B30 11U05 70A05 70H05 PDFBibTeX XMLCite \textit{N. C. A. da Costa} and \textit{F. A. Doria}, Int. J. Theor. Phys. 30, No. 8, 1041--1073 (1991; Zbl 0850.70023) Full Text: DOI
Chirikov, Boris V. Patterns in chaos. (English) Zbl 0738.58031 Chaos Solitons Fractals 1, No. 1, 79-103 (1991). Reviewer: J.Szilasi (Debrecen) MSC: 37D45 70K50 37J99 PDFBibTeX XMLCite \textit{B. V. Chirikov}, Chaos Solitons Fractals 1, No. 1, 79--103 (1991; Zbl 0738.58031) Full Text: DOI
Breuer, H. P.; Dietz, K.; Holthaus, M. On the classical dynamics of strongly driven anharmonic oscillators. (English) Zbl 0725.58016 Physica D 46, No. 3, 317-341 (1990). Reviewer: A.Klíč (Praha) MSC: 37J99 37B99 37D45 70K50 PDFBibTeX XMLCite \textit{H. P. Breuer} et al., Physica D 46, No. 3, 317--341 (1990; Zbl 0725.58016) Full Text: DOI
Šidlichovský, M. The existence of a chaotic region due to the overlap of secular resonances \(\nu_ 5\) and \(\nu_ 6\). (English) Zbl 0719.70017 Celestial Mech. Dyn. Astron. 49, No. 2, 177-196 (1990). MSC: 70K50 70F15 PDFBibTeX XMLCite \textit{M. Šidlichovský}, Celest. Mech. Dyn. Astron. 49, No. 2, 177--196 (1990; Zbl 0719.70017) Full Text: DOI
Krivoshej, I. V. Instability criterion for multidimensional nonlinear Hamiltonian systems. (English. Russian original) Zbl 0705.53043 Theor. Math. Phys. 82, No. 2, 187-194 (1990); translation from Teor. Mat. Fiz. 82, No. 2, 268-277 (1990). MSC: 53C80 37J99 70H05 PDFBibTeX XMLCite \textit{I. V. Krivoshej}, Theor. Math. Phys. 82, No. 2, 187--194 (1990; Zbl 0705.53043); translation from Teor. Mat. Fiz. 82, No. 2, 268--277 (1990) Full Text: DOI
Caranicolas, N. D. A mapping for the study of the 1/1 resonance in a galactic type Hamiltonian. (English) Zbl 0684.70020 Celestial Mech. Dyn. Astron. 47, No. 1, 87-96 (1990). MSC: 70K20 70H05 78A35 70F15 37D45 70K50 70-08 PDFBibTeX XMLCite \textit{N. D. Caranicolas}, Celest. Mech. Dyn. Astron. 47, No. 1, 87--96 (1990; Zbl 0684.70020) Full Text: DOI
Gulyaev, V. I.; Zubritskaya, A. L.; Koshkin, V. L. A universal sequence of periodic-doubling bifurcations of the forced oscillations of a pendulum. (English. Russian original) Zbl 0728.70024 J. Appl. Math. Mech. 53, No. 5, 561-565 (1989); translation from Prikl. Mat. Mekh. 53, No. 5, 715-720 (1989). MSC: 70K40 70-08 70K50 37D45 PDFBibTeX XMLCite \textit{V. I. Gulyaev} et al., J. Appl. Math. Mech. 53, No. 5, 561--565 (1989; Zbl 0728.70024); translation from Prikl. Mat. Mekh. 53, No. 5, 715--720 (1989) Full Text: DOI
Bruhwiler, D. L.; Cary, John R. Diffusion of particles in a slowly modulated wave. (English) Zbl 0713.70011 Physica D 40, No. 2, 265-282 (1989). MSC: 70G10 70H05 70-08 PDFBibTeX XMLCite \textit{D. L. Bruhwiler} and \textit{J. R. Cary}, Physica D 40, No. 2, 265--282 (1989; Zbl 0713.70011) Full Text: DOI
Coppola, V. T.; Rand, R. H. Computer algebra implementation of Lie transforms for Hamiltonian systems: Application to the nonlinear stability of \(L_ 4\). (English) Zbl 0696.70015 Z. Angew. Math. Mech. 69, No. 9, 275-284 (1989). MSC: 70K20 70H05 68W30 PDFBibTeX XMLCite \textit{V. T. Coppola} and \textit{R. H. Rand}, Z. Angew. Math. Mech. 69, No. 9, 275--284 (1989; Zbl 0696.70015) Full Text: DOI