Yoshino, Hajime; Mertig, Normann; Shudo, Akira Uniform hyperbolicity of a class of scattering maps. (English) Zbl 07735417 Nonlinearity 36, No. 10, 5097-5143 (2023). MSC: 37A05 37B10 37D05 37D15 37D20 PDF BibTeX XML Cite \textit{H. Yoshino} et al., Nonlinearity 36, No. 10, 5097--5143 (2023; Zbl 07735417) Full Text: DOI arXiv
Zhang, Xu; Chen, Guanrong A geometric criterion for the existence of chaos based on periodic orbits in continuous-time autonomous systems. (English) Zbl 1514.37038 J. Dyn. Control Syst. 29, No. 1, 71-93 (2023). MSC: 37C27 37C10 37C25 37C70 37B10 37D45 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{G. Chen}, J. Dyn. Control Syst. 29, No. 1, 71--93 (2023; Zbl 1514.37038) Full Text: DOI arXiv
Sun, Huijing; Cao, Hongjun The damping term makes the Smale-horseshoe heteroclinic chaotic motion easier. (English) Zbl 1507.37049 Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4685-4701 (2022). MSC: 37D45 37C70 37G35 37D10 PDF BibTeX XML Cite \textit{H. Sun} and \textit{H. Cao}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4685--4701 (2022; Zbl 1507.37049) Full Text: DOI
Mendoza, Valentín The dynamical core of a homoclinic orbit. (English) Zbl 1504.37050 Regul. Chaotic Dyn. 27, No. 4, 477-491 (2022). MSC: 37E30 37E15 37C29 37B10 37D20 PDF BibTeX XML Cite \textit{V. Mendoza}, Regul. Chaotic Dyn. 27, No. 4, 477--491 (2022; Zbl 1504.37050) Full Text: DOI
Gomide, Otávio M. L.; Teixeira, Marco A. Chains in \(3D\) Filippov systems: a chaotic phenomenon. (English) Zbl 1491.34030 J. Math. Pures Appl. (9) 159, 168-195 (2022). MSC: 34A36 34C37 34C45 37G20 34C05 34C28 37D45 PDF BibTeX XML Cite \textit{O. M. L. Gomide} and \textit{M. A. Teixeira}, J. Math. Pures Appl. (9) 159, 168--195 (2022; Zbl 1491.34030) Full Text: DOI arXiv
Yang, Da Wei The dynamics of vector fields with singularities. (English) Zbl 1494.37016 Acta Math. Sin., Engl. Ser. 38, No. 1, 225-248 (2022). Reviewer: Miguel Paternain (Montevideo) MSC: 37D05 37D10 37D15 37D20 37D25 37D30 37C10 37C83 PDF BibTeX XML Cite \textit{D. W. Yang}, Acta Math. Sin., Engl. Ser. 38, No. 1, 225--248 (2022; Zbl 1494.37016) Full Text: DOI
Chen, Yu-Ming Šil’nikov theorem. (English) Zbl 1506.37028 Wang, Xiong (ed.) et al., Chaotic systems with multistability and hidden attractors. Cham: Springer. Emerg. Complex. Comput. 40, 19-26 (2021). MSC: 37C20 37E30 37C79 37C70 37C55 37C05 PDF BibTeX XML Cite \textit{Y.-M. Chen}, Emerg. Complex. Comput. 40, 19--26 (2021; Zbl 1506.37028) Full Text: DOI
Lamouki, Gholam Reza Rokni; Zare, Hadi Pseudo centre and its applications. (English) Zbl 1458.55004 Topology Appl. 282, Article ID 107305, 19 p. (2020). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55M30 57R19 57Z25 68U99 PDF BibTeX XML Cite \textit{G. R. R. Lamouki} and \textit{H. Zare}, Topology Appl. 282, Article ID 107305, 19 p. (2020; Zbl 1458.55004) Full Text: DOI
Ren, Hai-Peng; Tian, Kun; Grebogi, Celso Topological horseshoe in a single-scroll Chen system with time delay. (English) Zbl 1434.34067 Chaos Solitons Fractals 132, Article ID 109593, 7 p. (2020). MSC: 34K23 37B10 PDF BibTeX XML Cite \textit{H.-P. Ren} et al., Chaos Solitons Fractals 132, Article ID 109593, 7 p. (2020; Zbl 1434.34067) Full Text: DOI Link
Meyer, Kenneth R.; Schmidt, Dieter S. Invariant manifolds in the Hamiltonian-Hopf bifurcation. (English) Zbl 1439.37052 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 32, 14 p. (2020). Reviewer: Changjin Xu (Guiyang) MSC: 37J20 37J25 37J40 37J46 34C23 34C37 70F07 PDF BibTeX XML Cite \textit{K. R. Meyer} and \textit{D. S. Schmidt}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 32, 14 p. (2020; Zbl 1439.37052) Full Text: DOI
Díaz, Lorenzo J.; Pérez, Sebastián A. Blender-horseshoes in center-unstable Hénon-like families. (English) Zbl 1508.37041 Pacifico, Maria José (ed.) et al., New trends in one-dimensional dynamics. Proceedings of the meeting on new trends in one-dimensional dynamics, IMPA, Rio de Janeiro, Brasil, November 14–17, 2016. In honour of Welington de Melo’s 70th birthday. Cham: Springer. Springer Proc. Math. Stat. 285, 137-163 (2019). MSC: 37D05 37D15 37D10 37D25 PDF BibTeX XML Cite \textit{L. J. Díaz} and \textit{S. A. Pérez}, Springer Proc. Math. Stat. 285, 137--163 (2019; Zbl 1508.37041) Full Text: DOI arXiv
Zhang, Xu; Chen, Guanrong Polynomial maps with hidden complex dynamics. (English) Zbl 1429.37011 Discrete Contin. Dyn. Syst., Ser. B 24, No. 6, 2941-2954 (2019). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37C05 37C25 37D45 37E05 37G10 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{G. Chen}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 6, 2941--2954 (2019; Zbl 1429.37011) Full Text: DOI
Li, Denghui; Chen, Hebai; Xie, Jianhua Smale horseshoe in a piecewise smooth map. (English) Zbl 1411.37011 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 4, Article ID 1950051, 9 p. (2019). MSC: 37B10 37E30 37D45 PDF BibTeX XML Cite \textit{D. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 4, Article ID 1950051, 9 p. (2019; Zbl 1411.37011) Full Text: DOI
Xiao, Qianying; Zheng, Zuohuan \(C^1\) weak Palis conjecture for nonsingular flows. (English) Zbl 1394.37035 Discrete Contin. Dyn. Syst. 38, No. 4, 1809-1832 (2018). MSC: 37C20 37C29 37D15 37C27 37C10 PDF BibTeX XML Cite \textit{Q. Xiao} and \textit{Z. Zheng}, Discrete Contin. Dyn. Syst. 38, No. 4, 1809--1832 (2018; Zbl 1394.37035) Full Text: DOI arXiv
Gan, Shaobo; Yang, Dawei Morse-Smale systems and horseshoes for three dimensional singular flows. (English. French summary) Zbl 1466.37026 Ann. Sci. Éc. Norm. Supér. (4) 51, No. 1, 39-112 (2018). MSC: 37D15 37C05 37C10 37C20 37C29 37D30 PDF BibTeX XML Cite \textit{S. Gan} and \textit{D. Yang}, Ann. Sci. Éc. Norm. Supér. (4) 51, No. 1, 39--112 (2018; Zbl 1466.37026) Full Text: arXiv
Gonchenko, Sergey V.; Gonchenko, A. S.; Malkin, M. I. On local topological classification of two-dimensional orientable, non-orientable, and half-orientable horseshoes. (English) Zbl 1390.37017 Volchenkov, Dimitri (ed.) et al., Regularity and stochasticity of nonlinear dynamical systems. Cham: Springer (ISBN 978-3-319-58061-6/hbk; 978-3-319-58062-3/ebook). Nonlinear Systems and Complexity 21, 161-180 (2018). Reviewer: Thomas B. Ward (Leeds) MSC: 37B10 37D15 37E30 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Nonlinear Syst. Complex. 21, 161--180 (2018; Zbl 1390.37017) Full Text: DOI
Rahman, Aminur; Blackmore, Denis Threshold voltage dynamics of chaotic RS flip-flops. (English) Zbl 1375.37054 Chaos Solitons Fractals 103, 555-566 (2017). MSC: 37C05 37C29 37D45 94C05 PDF BibTeX XML Cite \textit{A. Rahman} and \textit{D. Blackmore}, Chaos Solitons Fractals 103, 555--566 (2017; Zbl 1375.37054) Full Text: DOI
Zhang, Xu The Smale horseshoes in a class of non-invertible maps in \(\mathbb{R}^3\) with two-direction instability. (English) Zbl 1372.37061 J. Difference Equ. Appl. 23, No. 5, 965-982 (2017). MSC: 37D20 37D45 37D05 PDF BibTeX XML Cite \textit{X. Zhang}, J. Difference Equ. Appl. 23, No. 5, 965--982 (2017; Zbl 1372.37061) Full Text: DOI
Cheng, Xuhua; She, Zhikun Study on chaotic behavior of the restricted four-body problem with an equilateral triangle configuration. (English) Zbl 1362.70015 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 2, Article ID 1750026, 12 p. (2017). MSC: 70F10 70K44 70K55 70K60 37B10 PDF BibTeX XML Cite \textit{X. Cheng} and \textit{Z. She}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 2, Article ID 1750026, 12 p. (2017; Zbl 1362.70015) Full Text: DOI
Zhang, Xu Chaotic polynomial maps. (English) Zbl 1345.37046 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650131, 37 p. (2016). MSC: 37F10 37F15 37D45 37D10 37D05 PDF BibTeX XML Cite \textit{X. Zhang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650131, 37 p. (2016; Zbl 1345.37046) Full Text: DOI arXiv
Csernák, Gábor; Gyebrószki, Gergely; Stépán, Gábor Multi-baker map as a model of digital PD control. (English) Zbl 1334.34142 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 2, Article ID 1650023, 11 p. (2016). MSC: 34H15 93C05 34C28 34D08 37C05 PDF BibTeX XML Cite \textit{G. Csernák} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 2, Article ID 1650023, 11 p. (2016; Zbl 1334.34142) Full Text: DOI
Balibrea, Francisco Minimal Cantor type sets on discrete dynamical systems. (English) Zbl 1371.37038 López-Ruiz, Ricardo (ed.) et al., Nonlinear maps and their applications. Selected contributions from the NOMA 2013 international workshop, Zaragoza, Spain, September 3–4, 2013. Cham: Springer (ISBN 978-3-319-12327-1/hbk; 978-3-319-12328-8/ebook). Springer Proceedings in Mathematics & Statistics 112, 183-191 (2015). MSC: 37C45 28A80 PDF BibTeX XML Cite \textit{F. Balibrea}, Springer Proc. Math. Stat. 112, 183--191 (2015; Zbl 1371.37038) Full Text: DOI
El-Sayed, A. M. A.; Matouk, A. E.; Elsaid, A.; Nour, H. M.; Elsonbaty, A. Nonlinear dynamics of a modified autonomous Van der Pol-Duffing chaotic circuit. (English) Zbl 1417.37125 Electron. J. Math. Anal. Appl. 2, No. 2, 199-213 (2014). MSC: 37D45 34C28 70K50 70K44 PDF BibTeX XML Cite \textit{A. M. A. El-Sayed} et al., Electron. J. Math. Anal. Appl. 2, No. 2, 199--213 (2014; Zbl 1417.37125) Full Text: Link
Shudo, Akira The Stokes geometry of the quantum Hénon map in the horseshoe regime. (English) Zbl 1342.37047 RIMS Kôkyûroku Bessatsu B52, 263-282 (2014). MSC: 37E30 37D20 34E20 81Q20 PDF BibTeX XML Cite \textit{A. Shudo}, RIMS Kôkyûroku Bessatsu B52, 263--282 (2014; Zbl 1342.37047)
Dobbs, Neil; Nowicki, Tomasz; Świrszcz, Grzegorz Outer billiard around a curvilinear triangle with a fixed diameter. (English) Zbl 1347.37078 Publ. Mat., Barc. 2014, Extra, 179-194 (2014). MSC: 37E30 54H20 37D50 37C29 PDF BibTeX XML Cite \textit{N. Dobbs} et al., Publ. Mat., Barc. 2014, 179--194 (2014; Zbl 1347.37078) Full Text: DOI
Chen, Fengjuan; Li, Jibin Strange attractors in a three-dimensional autonomous polynomial equation. (English) Zbl 1301.34013 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 9, Article ID 1450111, 13 p. (2014). MSC: 34A34 34C45 34C37 34D10 34C28 34D45 34C23 34E10 37D45 PDF BibTeX XML Cite \textit{F. Chen} and \textit{J. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 9, Article ID 1450111, 13 p. (2014; Zbl 1301.34013) Full Text: DOI
She, Zhikun; Cheng, Xuhua The existence of a Smale horseshoe in a planar circular restricted four-body problem. (English) Zbl 1293.70049 Celest. Mech. Dyn. Astron. 118, No. 2, 115-127 (2014). MSC: 70F10 70K44 70K55 PDF BibTeX XML Cite \textit{Z. She} and \textit{X. Cheng}, Celest. Mech. Dyn. Astron. 118, No. 2, 115--127 (2014; Zbl 1293.70049) Full Text: DOI
Van Gorder, Robert A. Shil’nikov chaos in the 4D Lorenz-Stenflo system modeling the time evolution of nonlinear acoustic-gravity waves in a rotating atmosphere. (English) Zbl 1284.37022 Nonlinear Dyn. 72, No. 4, 837-851 (2013). MSC: 37C29 37D45 34C28 76B15 PDF BibTeX XML Cite \textit{R. A. Van Gorder}, Nonlinear Dyn. 72, No. 4, 837--851 (2013; Zbl 1284.37022) Full Text: DOI
Chen, F. J.; Han, M. A. Dynamics of heteroclinic tangles with an unbroken saddle connection. (English) Zbl 1268.37018 Nonlinear Dyn. 71, No. 3, 409-415 (2013). MSC: 37C29 34C37 34D10 37C70 PDF BibTeX XML Cite \textit{F. J. Chen} and \textit{M. A. Han}, Nonlinear Dyn. 71, No. 3, 409--415 (2013; Zbl 1268.37018) Full Text: DOI
Gromov, M. Super stable Kählerian horseshoe? (English) Zbl 1319.32025 Pardalos, Panos M. (ed.) et al., Essays in mathematics and its applications. In honor of Stephen Smale’s 80th birthday. Berlin: Springer (ISBN 978-3-642-28820-3/hbk; 978-3-642-28821-0/ebook). 151-229 (2012). MSC: 32Q99 53C99 PDF BibTeX XML Cite \textit{M. Gromov}, in: Essays in mathematics and its applications. In honor of Stephen Smale's 80th birthday. Berlin: Springer. 151--229 (2012; Zbl 1319.32025) Full Text: DOI
Graça, Daniel S.; Zhong, Ning; Buescu, Jorge Computability, noncomputability, and hyperbolic systems. (English) Zbl 1310.37015 Appl. Math. Comput. 219, No. 6, 3039-3054 (2012). MSC: 37D05 37D45 03D78 03D80 PDF BibTeX XML Cite \textit{D. S. Graça} et al., Appl. Math. Comput. 219, No. 6, 3039--3054 (2012; Zbl 1310.37015) Full Text: DOI arXiv
Li, Huaqing; Liao, Xiaofeng; Ullah, Saleem; Xiao, Li Analytical proof on the existence of chaos in a generalized Duffing-type oscillator with fractional-order deflection. (English) Zbl 1257.34030 Nonlinear Anal., Real World Appl. 13, No. 6, 2724-2733 (2012). MSC: 34C28 34A08 65P20 34C37 PDF BibTeX XML Cite \textit{H. Li} et al., Nonlinear Anal., Real World Appl. 13, No. 6, 2724--2733 (2012; Zbl 1257.34030) Full Text: DOI
Yamaguchi, Yoshihiro; Tanikawa, Kiyotaka Nonsymmetric saddle-node pairs for the reversible Smale horseshoe map. (English) Zbl 1251.37016 Prog. Theor. Phys. 128, No. 1, 15-30 (2012). MSC: 37B10 37C25 37G15 37E30 PDF BibTeX XML Cite \textit{Y. Yamaguchi} and \textit{K. Tanikawa}, Prog. Theor. Phys. 128, No. 1, 15--30 (2012; Zbl 1251.37016) Full Text: DOI
Colombo, Giovanni; Fečkan, Michal; Garay, Barnabas M. Inflated deterministic chaos and Smale’s horseshoe. (English) Zbl 1246.37057 J. Difference Equ. Appl. 18, No. 3, 471-488 (2012). Reviewer: Manuel Calvo (Zaragoza) MSC: 37D45 37M99 65P20 PDF BibTeX XML Cite \textit{G. Colombo} et al., J. Difference Equ. Appl. 18, No. 3, 471--488 (2012; Zbl 1246.37057) Full Text: DOI
Yu, Yumin; Niu, Yujun; Xu, Wei Chaos prediction in the Duffing system with nonsmooth periodic perturbation. (Chinese. English summary) Zbl 1265.37014 Math. Pract. Theory 41, No. 9, 239-244 (2011). MSC: 37D45 PDF BibTeX XML Cite \textit{Y. Yu} et al., Math. Pract. Theory 41, No. 9, 239--244 (2011; Zbl 1265.37014)
Chen, Hongkui; Xu, Qingyu Global bifurcations and multi-pulse orbits of a parametric excited system with autoparametric resonance. (English) Zbl 1260.34083 Nonlinear Dyn. 65, No. 1-2, 187-216 (2011). Reviewer: Oleksandr Popovych (Jülich) MSC: 34C37 34C23 37G20 34C28 PDF BibTeX XML Cite \textit{H. Chen} and \textit{Q. Xu}, Nonlinear Dyn. 65, No. 1--2, 187--216 (2011; Zbl 1260.34083) Full Text: DOI
Kułaga, Tomasz; Tabor, Jacek Hyperbolic dynamics in graph-directed IFS. (English) Zbl 1229.37020 J. Differ. Equations 251, No. 12, 3363-3380 (2011). MSC: 37D20 05C90 PDF BibTeX XML Cite \textit{T. Kułaga} and \textit{J. Tabor}, J. Differ. Equations 251, No. 12, 3363--3380 (2011; Zbl 1229.37020) Full Text: DOI
Chen, Goong; Huang, Yu. Chaotic maps. Dynamics, fractals, and rapid fluctuations. (English) Zbl 1237.37001 Synthesis Lectures on Mathematics and Statistics 11. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-59829-914-4/pbk; 978-1-59829-915-1/ebook). ix, 227 p. (2011). Reviewer: Steve Pederson (Atlanta) MSC: 37-01 37E05 28A80 37D45 37B40 37C29 PDF BibTeX XML Cite \textit{G. Chen} and \textit{Yu. Huang}, Chaotic maps. Dynamics, fractals, and rapid fluctuations. San Rafael, CA: Morgan \& Claypool Publishers (2011; Zbl 1237.37001) Full Text: DOI
De Simone, Emiliano; Marin, Laurent Hyperbolicity of the trace map for a strongly coupled quasiperiodic Schrödinger operator. (English) Zbl 1230.37039 Monatsh. Math. 163, No. 2, 211-235 (2011). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37D20 81Q10 47B37 PDF BibTeX XML Cite \textit{E. De Simone} and \textit{L. Marin}, Monatsh. Math. 163, No. 2, 211--235 (2011; Zbl 1230.37039) Full Text: DOI arXiv
Yagasaki, Kazuyuki Higher-order Melnikov method and chaos for two-degree-of-freedom Hamiltonian systems with saddle-centers. (English) Zbl 1213.37092 Discrete Contin. Dyn. Syst. 29, No. 1, 387-402 (2011). Reviewer: Dorin Andrica (Riyadh) MSC: 37J45 70H07 70H09 34C37 34E10 37J30 PDF BibTeX XML Cite \textit{K. Yagasaki}, Discrete Contin. Dyn. Syst. 29, No. 1, 387--402 (2011; Zbl 1213.37092) Full Text: DOI
Gonchenko, S.; Li, M.-Ch. Shilnikov’s cross-map method and hyperbolic dynamics of three-dimensional Hénon-like maps. (English) Zbl 1203.37029 Regul. Chaotic Dyn. 15, No. 2-3, 165-184 (2010). MSC: 37C05 37D20 37B10 PDF BibTeX XML Cite \textit{S. Gonchenko} and \textit{M. Ch. Li}, Regul. Chaotic Dyn. 15, No. 2--3, 165--184 (2010; Zbl 1203.37029) Full Text: DOI
Juang, Jonq; Chang, Yu-Chuan Boundary influence on the entropy of a Lozi-type map. (English) Zbl 1205.39003 J. Math. Anal. Appl. 371, No. 2, 728-740 (2010). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 39A12 37A35 PDF BibTeX XML Cite \textit{J. Juang} and \textit{Y.-C. Chang}, J. Math. Anal. Appl. 371, No. 2, 728--740 (2010; Zbl 1205.39003) Full Text: DOI
Nakajima, Fumio Connected and not arcwise connected invariant sets for some 2-dimensional dynamical systems. (English) Zbl 1185.37057 J. Math. Kyoto Univ. 49, No. 2, 339-346 (2009). Reviewer: Andrzej Piatkowski (Łódź) MSC: 37C70 37E99 37D45 PDF BibTeX XML Cite \textit{F. Nakajima}, J. Math. Kyoto Univ. 49, No. 2, 339--346 (2009; Zbl 1185.37057) Full Text: DOI Euclid
Yamaguchi, Yoshihiro; Tanikawa, Kiyotaka A new interpretation of the symbolic codes for the Hénon map. (English) Zbl 1185.37036 Prog. Theor. Phys. 122, No. 3, 569-609 (2009). Reviewer: Douglas S. Shafer (Charlotte) MSC: 37C05 PDF BibTeX XML Cite \textit{Y. Yamaguchi} and \textit{K. Tanikawa}, Prog. Theor. Phys. 122, No. 3, 569--609 (2009; Zbl 1185.37036) Full Text: DOI
Chen, Baoying; Zhou, Tianshou; Chen, Guanrong An extended Šil’nikov homoclinic theorem and its applications. (English) Zbl 1168.34329 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 5, 1679-1693 (2009). MSC: 34C27 34C28 37D45 PDF BibTeX XML Cite \textit{B. Chen} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 5, 1679--1693 (2009; Zbl 1168.34329) Full Text: DOI
Yang, Xiao-Song Topological horseshoes and computer assisted verification of chaotic dynamics. (English) Zbl 1168.37301 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 4, 1127-1145 (2009). MSC: 37B10 37D45 37B40 37N99 PDF BibTeX XML Cite \textit{X.-S. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 4, 1127--1145 (2009; Zbl 1168.37301) Full Text: DOI
Gonchenko, Sergey; Li, Ming-Chia; Malkin, Mikhail Generalized Hénon maps and Smale horseshoes of new types. (English) Zbl 1165.37320 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 10, 3029-3052 (2008). MSC: 37E30 37C75 37C15 PDF BibTeX XML Cite \textit{S. Gonchenko} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 10, 3029--3052 (2008; Zbl 1165.37320) Full Text: DOI
Kwaśniewski, B. K.; Lebedev, A. V. Reversible extensions of irreversible dynamical systems: The \(C^*\)-method. (English. Russian original) Zbl 1181.46048 Sb. Math. 199, No. 11, 1621-1648 (2008); translation from Mat. Sb. 199, No. 11, 45-74 (2008). Reviewer: Pere Ara (Bellaterra) MSC: 46L40 47L30 54H20 37E99 PDF BibTeX XML Cite \textit{B. K. Kwaśniewski} and \textit{A. V. Lebedev}, Sb. Math. 199, No. 11, 1621--1648 (2008; Zbl 1181.46048); translation from Mat. Sb. 199, No. 11, 45--74 (2008) Full Text: DOI
Nishizawa, Yusuke Existence of horseshoe sets with nondegenerate one-sided homoclinic tangencies in \(\mathbb R^3\). (English) Zbl 1147.37017 Hokkaido Math. J. 37, No. 1, 133-145 (2008). MSC: 37D05 37C29 37C05 37D40 37C25 37G20 PDF BibTeX XML Cite \textit{Y. Nishizawa}, Hokkaido Math. J. 37, No. 1, 133--145 (2008; Zbl 1147.37017) Full Text: DOI
Marco, Jean-Pierre Models for skew-products and polysystems. (Modèles pour les applications fibrées et les polysystèmes.) (French) Zbl 1131.37016 C. R., Math., Acad. Sci. Paris 346, No. 3-4, 203-208 (2008). MSC: 37B10 37D20 37D10 PDF BibTeX XML Cite \textit{J.-P. Marco}, C. R., Math., Acad. Sci. Paris 346, No. 3--4, 203--208 (2008; Zbl 1131.37016) Full Text: DOI
Bánhelyi, Balázs; Csendes, Tibor; Garay, Barnabas M. Optimization and the Miranda approach in detecting horseshoe-type chaos by computer. (English) Zbl 1139.37019 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 3, 735-747 (2007). MSC: 37D45 37M99 PDF BibTeX XML Cite \textit{B. Bánhelyi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 3, 735--747 (2007; Zbl 1139.37019) Full Text: DOI
Ivancevic, Vladimir G.; Ivancevic, Tijana T. Complex dynamics. Advanced system dynamics in complex variables. (English) Zbl 1134.81002 Intelligent Systems, Control and Automation: Science and Engineering 34. Dordrecht: Springer (ISBN 978-1-4020-6411-1/hbk). xviii, 807 p. (2007). Reviewer: Eugene Kryachko (Liège) MSC: 81-02 37Fxx 58Jxx 81S40 32Qxx 34Cxx 83-02 83C45 34Mxx PDF BibTeX XML Cite \textit{V. G. Ivancevic} and \textit{T. T. Ivancevic}, Complex dynamics. Advanced system dynamics in complex variables. Dordrecht: Springer (2007; Zbl 1134.81002)
Gilmore, Robert; Letellier, Christophe The symmetry of chaos. (English) Zbl 1137.37017 Oxford: Oxford University Press (ISBN 978-0-19-531065-8/hbk). xx, 545 p. (2007). Reviewer: Dieter Erle (Dortmund) MSC: 37D45 37-02 37C80 57M10 PDF BibTeX XML Cite \textit{R. Gilmore} and \textit{C. Letellier}, The symmetry of chaos. Oxford: Oxford University Press (2007; Zbl 1137.37017)
Escobedo, Raúl; Macías, Sergio; Méndez, Héctor [Puga, I.; Molina, M. A.; Illanes, A.; Acosta, G.; Charatonik, J. J.; Kennedy, J. A.] Introduction to the theory of continua and their hyperspaces. (Invitación a la teoría de los continuous y sus hiperespacios.) (Spanish) Zbl 1121.54053 Aportaciones Matemáticas, Textos 31 (Nivel Medio). México: Sociedad Matemática Mexicana (ISBN 970-32-3872-6/pbk). xiv, 303 p. (2006). Reviewer: Alejandro Illanes (México, D.F.) MSC: 54F15 54B20 54F50 PDF BibTeX XML Cite \textit{R. Escobedo} et al., Invitación a la teoría de los continuous y sus hiperespacios (Spanish). México: Sociedad Matemática Mexicana (2006; Zbl 1121.54053)
Hironaka, Eriko; Kin, Eiko A family of pseudo-Anosov braids with small dilatation. (English) Zbl 1126.37014 Algebr. Geom. Topol. 6, 699-738 (2006). MSC: 37D20 57M50 37E30 PDF BibTeX XML Cite \textit{E. Hironaka} and \textit{E. Kin}, Algebr. Geom. Topol. 6, 699--738 (2006; Zbl 1126.37014) Full Text: DOI arXiv
Rams, Michał Measures of maximal dimension for linear horseshoes. (English) Zbl 1096.37013 Real Anal. Exch. 31(2005-2006), No. 1, 55-62 (2006). MSC: 37C45 37A05 37D35 28D05 PDF BibTeX XML Cite \textit{M. Rams}, Real Anal. Exch. 31, No. 1, 55--62 (2006; Zbl 1096.37013) Full Text: DOI
Coudene, Yves Pictures of hyperbolic dynamical systems. (English) Zbl 1092.37507 Notices Am. Math. Soc. 53, No. 1, 8-13 (2006). MSC: 37D20 37E30 37D45 PDF BibTeX XML Cite \textit{Y. Coudene}, Notices Am. Math. Soc. 53, No. 1, 8--13 (2006; Zbl 1092.37507) Full Text: Link
Chen, Yi-Chiuan Smale horseshoe via the anti-integrability. (English) Zbl 1083.37028 Chaos Solitons Fractals 28, No. 2, 377-385 (2006). MSC: 37D15 37B10 PDF BibTeX XML Cite \textit{Y.-C. Chen}, Chaos Solitons Fractals 28, No. 2, 377--385 (2006; Zbl 1083.37028) Full Text: DOI
Shil’nikov, L. P. Homoclinic trajectories: from Poincaré to the present. (English) Zbl 1082.01009 Bolibruch, A.A. (ed.) et al., Mathematical events of the twentieth century. Transl. from the Russian. Berlin: Springer; Moscow: PHASIS (ISBN 3-540-23235-4/hbk). 347-370 (2006). Reviewer: Ülo Lumiste (Tartu) MSC: 01A60 37-03 37C29 PDF BibTeX XML Cite \textit{L. P. Shil'nikov}, in: Mathematical events of the twentieth century. Transl. from the Russian. Berlin: Springer; Moscow: PHASIS. 347--370 (2006; Zbl 1082.01009)
Kryzhevych, S. G.; Pliss, V. A. Chaotic modes of oscillations of a vibro-impact system. (Russian, English) Zbl 1109.34035 Prikl. Mat. Mekh. 69, No. 1, 15-29 (2005); translation in J. Appl. Math. Mech. 69, No. 1, 13-26 (2005). Reviewer: N. V. Nikitina (Kyïv) MSC: 34C28 34A36 PDF BibTeX XML Cite \textit{S. G. Kryzhevych} and \textit{V. A. Pliss}, Prikl. Mat. Mekh. 69, No. 1, 15--29 (2005; Zbl 1109.34035); translation in J. Appl. Math. Mech. 69, No. 1, 13--26 (2005)
Dullin, H. R.; Meiss, J. D.; Sterling, D. G. Symbolic codes for rotational orbits. (English) Zbl 1136.34313 SIAM J. Appl. Dyn. Syst. 4, No. 3, 515-562 (2005). MSC: 34C28 37B10 37C25 37E45 37J10 PDF BibTeX XML Cite \textit{H. R. Dullin} et al., SIAM J. Appl. Dyn. Syst. 4, No. 3, 515--562 (2005; Zbl 1136.34313) Full Text: DOI arXiv
Casselman, Bill Picturing the horseshoe map. (English) Zbl 1078.37508 Notices Am. Math. Soc. 52, No. 5, 518-519 (2005). MSC: 37E99 37D15 37C25 37B10 37C29 PDF BibTeX XML Cite \textit{B. Casselman}, Notices Am. Math. Soc. 52, No. 5, 518--519 (2005; Zbl 1078.37508) Full Text: Link
Battelli, Flaviano; Fečkan, Michal Chaos in the beam equation. (English) Zbl 1082.35019 J. Differ. Equations 209, No. 1, 172-227 (2005). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35B10 74K10 35B25 35B32 37D45 PDF BibTeX XML Cite \textit{F. Battelli} and \textit{M. Fečkan}, J. Differ. Equations 209, No. 1, 172--227 (2005; Zbl 1082.35019) Full Text: DOI
Chen, Fengjuan A class of model shift map and its chaos. (Chinese. English summary) Zbl 1081.37006 J. Zhejiang Norm. Univ., Nat. Sci. 27, No. 1, 1-5 (2004). MSC: 37B10 PDF BibTeX XML Cite \textit{F. Chen}, J. Zhejiang Norm. Univ., Nat. Sci. 27, No. 1, 1--5 (2004; Zbl 1081.37006)
Huang, Debin Bi-Hamiltonian structure and homoclinic orbits of the Maxwell–Bloch equations with RWA. (English) Zbl 1067.37092 Chaos Solitons Fractals 22, No. 1, 207-212 (2004). MSC: 37K10 35F20 35Q60 78A60 PDF BibTeX XML Cite \textit{D. Huang}, Chaos Solitons Fractals 22, No. 1, 207--212 (2004; Zbl 1067.37092) Full Text: DOI
Zhu, Yu-jun; Zhang, Jin-lian; Zheng, Hong-wen Two types of shadowing for symbolic systems and their applications. (Chinese. English summary) Zbl 1063.37024 J. Hebei Norm. Univ., Nat. Sci. Ed. 28, No. 2, 109-112 (2004). MSC: 37C50 37B10 PDF BibTeX XML Cite \textit{Y.-j. Zhu} et al., J. Hebei Norm. Univ., Nat. Sci. Ed. 28, No. 2, 109--112 (2004; Zbl 1063.37024)
Chang, Hsin-Mei; Juang, Jong Piecewise two-dimensional maps and applications to cellular neural networks. (English) Zbl 1077.37514 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 7, 2223-2228 (2004). MSC: 37E99 PDF BibTeX XML Cite \textit{H.-M. Chang} and \textit{J. Juang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 7, 2223--2228 (2004; Zbl 1077.37514) Full Text: DOI
Lei, Jinzhi; Li, Xiong Some dynamical properties of the stadium billiard. (English) Zbl 1051.37016 Physica D 189, No. 1-2, 49-60 (2004). MSC: 37D50 37E99 37J10 37B10 37D15 PDF BibTeX XML Cite \textit{J. Lei} and \textit{X. Li}, Physica D 189, No. 1--2, 49--60 (2004; Zbl 1051.37016) Full Text: DOI
Chen, Fang-Yue; Liu, Zeng-Rong Chaotic stationary solutions of cellular neural networks. (English) Zbl 1057.37075 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 11, 3499-3504 (2003). MSC: 37N25 34C28 37B10 37D45 37L60 92B20 PDF BibTeX XML Cite \textit{F.-Y. Chen} and \textit{Z.-R. Liu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 11, 3499--3504 (2003; Zbl 1057.37075) Full Text: DOI
Teplinskij, A. Yu.; Khanin, K. M. Rigidity for circle diffeomorphisms with singularities. (English. Russian original) Zbl 1054.37018 Russ. Math. Surv. 59, No. 2, 329-353 (2004); translation from Usp. Mat. Nauk 59, No. 2, 137-160 (2004). MSC: 37E10 37C05 37C15 37E20 PDF BibTeX XML Cite \textit{A. Yu. Teplinskij} and \textit{K. M. Khanin}, Russ. Math. Surv. 59, No. 2, 329--353 (2003; Zbl 1054.37018); translation from Usp. Mat. Nauk 59, No. 2, 137--160 (2004) Full Text: DOI
Yang, Cuihong; Zhu, Siming Chaos behavior of the model of aneurysm of the circle of Willis. (Chinese. English summary) Zbl 1046.37059 Acta Sci. Nat. Univ. Sunyatseni 42, No. 3, 1-3 (2003). MSC: 37N25 37D15 37B10 37D45 92C50 PDF BibTeX XML Cite \textit{C. Yang} and \textit{S. Zhu}, Acta Sci. Nat. Univ. Sunyatseni 42, No. 3, 1--3 (2003; Zbl 1046.37059)
Bernard, Patrick; Grotta Ragazzo, Clodoaldo; Santoro Salomão, Pedro A. Homoclinic orbits near saddle-center fixed points of Hamiltonian systems with two degrees of freedom. (English) Zbl 1044.37044 de Melo, Welington (ed.) et al., Geometric methods in dynamics (I). Volume in honor of Jacob Palis. In part papers presented at the international conference on dynamical systems held at IMPA, Rio de Janeiro, Brazil, July 2000, to celebrate Jacob Palis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-138-4/pbk). Astérisque 286, 151-165 (2003). Reviewer: Jörg Härterich (Berlin) MSC: 37J45 37C29 34C37 37J20 PDF BibTeX XML Cite \textit{P. Bernard} et al., Astérisque 286, 151--165 (2003; Zbl 1044.37044)
Li, Y. Charles Chaos in partial differential equations. (English) Zbl 1043.35001 Graduate Series in Analysis 2. Somerville, MA: International Press (ISBN 1-57146-151-5/pbk). xii, 119 p. (2003). Reviewer: Michal Fečkan (Bratislava) MSC: 35-02 37-02 35Q51 37K35 35Q53 35Q55 35A30 37C50 37K40 37K55 37D45 37L10 PDF BibTeX XML Cite \textit{Y. C. Li}, Chaos in partial differential equations. Somerville, MA: International Press (2003; Zbl 1043.35001) Full Text: arXiv
Devaney, Robert L. An introduction to chaotic dynamical systems. Reprint of the 2nd (1989) ed. (English) Zbl 1025.37001 Studies in Nonlinearity. Boulder, CO: Westview Press. xvi, 335 p. (2003). MSC: 37-01 37D45 PDF BibTeX XML Cite \textit{R. L. Devaney}, An introduction to chaotic dynamical systems. Reprint of the 2nd (1989) ed. Boulder, CO: Westview Press (2003; Zbl 1025.37001)
McSwiggen, Patrick D.; Meyer, Kenneth R. The evolution of invariant manifolds in Hamiltonian-Hopf bifurcations. (English) Zbl 1024.37035 J. Differ. Equations 189, No. 2, 538-555 (2003). Reviewer: Jörg Härterich (Berlin) MSC: 37J15 37J20 37D10 37J40 70F07 PDF BibTeX XML Cite \textit{P. D. McSwiggen} and \textit{K. R. Meyer}, J. Differ. Equations 189, No. 2, 538--555 (2003; Zbl 1024.37035) Full Text: DOI
Edwards, R. Chaos in a continuous-time Boolean network. (English) Zbl 1010.34034 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Volume 3. Proceedings of the 3rd international conference, Morehouse College, Atlanta, GA, USA, May 26-29, 1999. Atlanta, GA: Dynamic Publishers. 185-192 (2001). MSC: 34C28 34C60 34C37 94C10 92E20 PDF BibTeX XML Cite \textit{R. Edwards}, in: Dynamic systems and applications. Volume 3. Proceedings of the 3rd international conference, Morehouse College, Atlanta, GA, USA, May 26--29, 1999. Atlanta, GA: Dynamic Publishers. 185--192 (2001; Zbl 1010.34034) Full Text: arXiv
Kin, Eiko The third power of the Smale horseshoe induces all link types. (English) Zbl 0995.37029 J. Knot Theory Ramifications 9, No. 7, 939-953 (2000). MSC: 37E30 37D99 57M25 PDF BibTeX XML Cite \textit{E. Kin}, J. Knot Theory Ramifications 9, No. 7, 939--953 (2000; Zbl 0995.37029) Full Text: DOI
Gromov, Mikhaïl Three remarks on geodesic dynamics and fundamental group. (English) Zbl 1002.53028 Enseign. Math., II. Sér. 46, No. 3-4, 391-402 (2000). Reviewer: Ülo Lumiste (Tartu) MSC: 53C23 37D40 PDF BibTeX XML Cite \textit{M. Gromov}, Enseign. Math. (2) 46, No. 3--4, 391--402 (2000; Zbl 1002.53028)
Xie, Xiangdong The existence of horseshoe contains the existence of transverse homoclinic point. (Chinese. English summary) Zbl 0980.37500 J. Math. Study 33, No. 3, 281-284 (2000). MSC: 37C29 PDF BibTeX XML Cite \textit{X. Xie}, J. Math. Study 33, No. 3, 281--284 (2000; Zbl 0980.37500)
Cheng, G.; Liu, Y. Z. Chaotic motion of an asymmetric gyrostat in the magnetic field of the Earth. (English) Zbl 0961.70006 Acta Mech. 141, No. 3-4, 125-134 (2000). MSC: 70E05 70K55 78A55 70M20 37N05 PDF BibTeX XML Cite \textit{G. Cheng} and \textit{Y. Z. Liu}, Acta Mech. 141, No. 3--4, 125--134 (2000; Zbl 0961.70006) Full Text: DOI
Ji, Jinchen; Chen, Yushu Bifurcation in a parametrically excited two-degree-of-freedom nonlinear oscillating system with 1:2 internal resonance. (English) Zbl 0961.70017 Appl. Math. Mech., Engl. Ed. 20, No. 4, 350-359 (1999). Reviewer: Fuhua Ling (Milpitas) MSC: 70K50 70K28 70K55 PDF BibTeX XML Cite \textit{J. Ji} and \textit{Y. Chen}, Appl. Math. Mech., Engl. Ed. 20, No. 4, 350--359 (1999; Zbl 0961.70017) Full Text: DOI
Raith, Peter Perturbations of a topologically transitive piecewise monotonic map on the interval. (English) Zbl 0948.37026 Grazer Math. Ber. 339, 301-312 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37E05 37E15 37A40 PDF BibTeX XML Cite \textit{P. Raith}, Grazer Math. Ber. 339, 301--312 (1999; Zbl 0948.37026)
Li, Mingjun; Li, Kaitai A class of symbolic dynamical systems describing chaos maps. (Chinese. English summary) Zbl 0959.37029 Appl. Math., Ser. A (Chin. Ed.) 14, No. 2, 125-129 (1999). MSC: 37D45 37B10 PDF BibTeX XML Cite \textit{M. Li} and \textit{K. Li}, Appl. Math., Ser. A (Chin. Ed.) 14, No. 2, 125--129 (1999; Zbl 0959.37029)
de Carvalho, André Pruning fronts and the formation of horseshoes. (English) Zbl 0948.37027 Ergodic Theory Dyn. Syst. 19, No. 4, 851-894 (1999). Reviewer: W.Kryszewski (Toruń) MSC: 37E30 37E20 37D45 PDF BibTeX XML Cite \textit{A. de Carvalho}, Ergodic Theory Dyn. Syst. 19, No. 4, 851--894 (1999; Zbl 0948.37027) Full Text: DOI arXiv
Zimmermann, Martín G.; Natiello, Mario A. Homoclinic and heteroclinic bifurcations close to a twisted heteroclinic cycle. (English) Zbl 0933.37054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 2, 359-375 (1998). MSC: 37G20 34C23 34C37 35B32 35K57 PDF BibTeX XML Cite \textit{M. G. Zimmermann} and \textit{M. A. Natiello}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 2, 359--375 (1998; Zbl 0933.37054) Full Text: DOI
Woodcock, Christopher F.; Smart, Nigel P. \(p\)-adic chaos and random number generation. (English) Zbl 0920.11052 Exp. Math. 7, No. 4, 333-342 (1998). Reviewer: F.Vivaldi (London) MSC: 11K45 37E99 65C10 11S80 PDF BibTeX XML Cite \textit{C. F. Woodcock} and \textit{N. P. Smart}, Exp. Math. 7, No. 4, 333--342 (1998; Zbl 0920.11052) Full Text: DOI EuDML EMIS
Xie, Jianhua Chaotic motions in a forced vibration system of single-degree-of-freedom. (Chinese. English summary) Zbl 0907.70016 J. Southwest Jiaotong Univ. 33, No. 1, 72-76 (1998). MSC: 70K50 37D45 PDF BibTeX XML Cite \textit{J. Xie}, J. Southwest Jiaotong Univ. 33, No. 1, 72--76 (1998; Zbl 0907.70016)
Zgliczyński, Piotr Computer assisted proof of chaos in the Rössler equations and in the Hénon map. (English) Zbl 0907.58048 Nonlinearity 10, No. 1, 243-252 (1997). MSC: 37D45 37G99 58J20 PDF BibTeX XML Cite \textit{P. Zgliczyński}, Nonlinearity 10, No. 1, 243--252 (1997; Zbl 0907.58048) Full Text: DOI Link
Brown, Ray; Chua, Leon O. Chaos: generating complexity from simplicity. (English) Zbl 0899.58038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 11, 2427-2436 (1997). MSC: 37D45 PDF BibTeX XML Cite \textit{R. Brown} and \textit{L. O. Chua}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 11, 2427--2436 (1997; Zbl 0899.58038) Full Text: DOI
Yue, Jingliang; Lu, Junqiao The chaotic behavior in a two dimensional mapping with logarithmic form. (Chinese. English summary) Zbl 0905.58033 J. Shanghai Jiaotong Univ. (Chin. Ed.) 31, No. 12, 116-118 (1997). MSC: 37D45 PDF BibTeX XML Cite \textit{J. Yue} and \textit{J. Lu}, J. Shanghai Jiaotong Univ. (Chin. Ed.) 31, No. 12, 116--118 (1997; Zbl 0905.58033)
Benet, L.; Trautmann, D.; Seligman, T. H. Chaotic scattering in the restricted three-body problem. I: The Copenhagen problem. (English) Zbl 0891.70006 Celest. Mech. Dyn. Astron. 66, No. 2, 203-228 (1997). MSC: 70F07 37D45 PDF BibTeX XML Cite \textit{L. Benet} et al., Celest. Mech. Dyn. Astron. 66, No. 2, 203--228 (1997; Zbl 0891.70006) Full Text: DOI
Li, Y.; Wiggins, S. Homoclinic orbits and chaos in discretized perturbed NLS systems. II: Symbolic dynamics. (English) Zbl 0891.58011 J. Nonlinear Sci. 7, No. 4, 315-370 (1997). MSC: 37B10 37C29 35Q55 37J35 37K10 37D45 70K50 PDF BibTeX XML Cite \textit{Y. Li} and \textit{S. Wiggins}, J. Nonlinear Sci. 7, No. 4, 315--370 (1997; Zbl 0891.58011) Full Text: DOI
Mai, Jiehua Smale horseshoe maps by 5-adic fractions. (English) Zbl 0893.58040 Chin. Sci. Bull. 42, No. 10, 799-803 (1997). MSC: 37D45 37E99 54H20 PDF BibTeX XML Cite \textit{J. Mai}, Chin. Sci. Bull. 42, No. 10, 799--803 (1997; Zbl 0893.58040) Full Text: DOI
Buffoni, B.; Groves, M. D.; Toland, J. F. A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers. (English) Zbl 0861.76012 Philos. Trans. R. Soc. Lond., Ser. A 354, No. 1707, 575-607 (1996). MSC: 76B25 76B45 76B15 35Q51 37J99 PDF BibTeX XML Cite \textit{B. Buffoni} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 354, No. 1707, 575--607 (1996; Zbl 0861.76012) Full Text: DOI
Ogorzałek, Maciej J.; Galias, Zbigniew Geometric invariants of chaotic attractors encountered in Chua’s circuit. (English) Zbl 0846.34041 Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2991-3002 (1996). MSC: 34C28 34D45 34A34 37D45 37G99 94C05 PDF BibTeX XML Cite \textit{M. J. Ogorzałek} and \textit{Z. Galias}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2991--3002 (1996; Zbl 0846.34041)
Wiggins, S. An introduction to the mechanisms and methods for the detection of chaos. (English) Zbl 0870.70019 Aston, Philip J. (ed.), Nonlinear mathematics and its applications. Proceedings of the 4th spring school on applied nonlinear mathematics, Surrey, GB, April 3-7, 1995. Cambridge: Cambridge University Press. 49-91 (1996). MSC: 70K50 37D45 37J40 PDF BibTeX XML Cite \textit{S. Wiggins}, in: Nonlinear mathematics and its applications. Proceedings of the 4th spring school on applied nonlinear mathematics, Surrey, GB, April 3-7, 1995. Cambridge: Cambridge University Press. 49--91 (1996; Zbl 0870.70019)
Tong, X.; Tabarrok, B.; Rimrott, F. P. J. Chaotic motion of an asymmetric gyrostat in the gravitational field. (English) Zbl 0837.70004 Int. J. Non-Linear Mech. 30, No. 3, 191-203 (1995). MSC: 70E05 70K50 37D45 PDF BibTeX XML Cite \textit{X. Tong} et al., Int. J. Non-Linear Mech. 30, No. 3, 191--203 (1995; Zbl 0837.70004) Full Text: DOI
Gómez-Mont, Xavier; Ortiz-Bobadilla, Laura Order and chaos in dynamical systems. (English) Zbl 0918.58033 Martínez-Mekler, G. (ed.) et al., Dynamics of nonlinear and disordered systems. Singapore: World Scientific. World Sci. Ser. Nonlinear Sci., Ser. B, Spec. Theme Issues Proc. 6, 1-24 (1995). Reviewer: Messoud Efendiev (Berlin) MSC: 37D15 37D45 PDF BibTeX XML Cite \textit{X. Gómez-Mont} and \textit{L. Ortiz-Bobadilla}, in: Dynamics of nonlinear and disordered systems. Singapore: World Scientific. 1--24 (1995; Zbl 0918.58033)
McRobie, F. A.; Thompson, J. M. T. Knot-types and bifurcation sequences of homoclinic and transient orbits of a single-degree-of-freedom driven oscillator. (English) Zbl 0829.34038 Dyn. Stab. Syst. 9, No. 3, 223-251 (1994). Reviewer: Yu.N.Bibikov (St.Peterburg) MSC: 34C37 34C23 37G99 34C15 PDF BibTeX XML Cite \textit{F. A. McRobie} and \textit{J. M. T. Thompson}, Dyn. Stab. Syst. 9, No. 3, 223--251 (1994; Zbl 0829.34038) Full Text: DOI
Ouarzazi, M. N.; Bois, P. A.; Taki, M. Nonlinear interaction of convective instabilities and temporal chaos of a fluid mixture in a porous medium. (English) Zbl 0814.76042 Eur. J. Mech, B 13, No. 4, 423-438 (1994). MSC: 76E15 76S05 37D45 PDF BibTeX XML Cite \textit{M. N. Ouarzazi} et al., Eur. J. Mech., B 13, No. 4, 423--438 (1994; Zbl 0814.76042)