Golokolenov, Alexander V.; Savin, Dmitry V. Attractors of a weakly dissipative system allowing transition to the stochastic web in the conservative limit. (English) Zbl 1528.37041 Russ. J. Nonlinear Dyn. 19, No. 1, 111-124 (2023). MSC: 37G35 34C23 34C28 70K30 70K50 PDFBibTeX XMLCite \textit{A. V. Golokolenov} and \textit{D. V. Savin}, Russ. J. Nonlinear Dyn. 19, No. 1, 111--124 (2023; Zbl 1528.37041) Full Text: DOI MNR
Teslya, Alexandra; Wolkowicz, Gail S. K. Dynamics of a predator-prey model with distributed delay to represent the conversion process or maturation. (English) Zbl 1521.34074 Differ. Equ. Dyn. Syst. 31, No. 3, 613-649 (2023). MSC: 34K60 34K21 34K20 34K13 34K18 34K23 34K25 92D25 PDFBibTeX XMLCite \textit{A. Teslya} and \textit{G. S. K. Wolkowicz}, Differ. Equ. Dyn. Syst. 31, No. 3, 613--649 (2023; Zbl 1521.34074) Full Text: DOI
Bonet Revés, Carles; M-Seara, Tere Two regularizations of the grazing-sliding bifurcation giving non equivalent dynamics. (English) Zbl 1501.34017 J. Differ. Equations 332, 219-277 (2022). MSC: 34A36 34C23 34C55 34C28 34A45 41A99 34C05 PDFBibTeX XMLCite \textit{C. Bonet Revés} and \textit{T. M-Seara}, J. Differ. Equations 332, 219--277 (2022; Zbl 1501.34017) Full Text: DOI arXiv
Wang, Lei; Yang, Xiao-Song Chaos explosion and topological horseshoe in three-dimensional impacting hybrid systems with a single impact surface. (English) Zbl 1496.37048 Nonlinear Anal., Hybrid Syst. 44, Article ID 101122, 20 p. (2022). MSC: 37G20 34C23 37D45 PDFBibTeX XMLCite \textit{L. Wang} and \textit{X.-S. Yang}, Nonlinear Anal., Hybrid Syst. 44, Article ID 101122, 20 p. (2022; Zbl 1496.37048) Full Text: DOI
Yan, Hanxueyu; Jiang, Jun; Hong, Ling The birth of a hidden attractor through boundary crisis. (English) Zbl 1487.37066 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2230005, 10 p. (2022). MSC: 37G35 39A28 PDFBibTeX XMLCite \textit{H. Yan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2230005, 10 p. (2022; Zbl 1487.37066) Full Text: DOI
Cheng, Tao; Zhang, Yongxiang; Shen, Yunzhu Infinite number of parameter regions with fractal nonchaotic attractors in a piecewise map. (English) Zbl 1489.37045 Fractals 29, No. 4, Article ID 2150087, 11 p. (2021). MSC: 37D45 37G10 37G35 PDFBibTeX XMLCite \textit{T. Cheng} et al., Fractals 29, No. 4, Article ID 2150087, 11 p. (2021; Zbl 1489.37045) Full Text: DOI
Xu, Tianzhuang; Xie, Bin; Liao, Shijun On reliable computation of lifetime in transient chaos. (English) Zbl 1481.37104 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150193, 18 p. (2021). MSC: 37M25 37M22 37D45 70K55 PDFBibTeX XMLCite \textit{T. Xu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150193, 18 p. (2021; Zbl 1481.37104) Full Text: DOI
Fan, Guihong; Wolkowicz, Gail S. K. Chaotic dynamics in a simple predator-prey model with discrete delay. (English) Zbl 1468.34111 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 191-216 (2021). MSC: 34K60 34K18 34K23 34K13 92D25 34K21 34K20 PDFBibTeX XMLCite \textit{G. Fan} and \textit{G. S. K. Wolkowicz}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 191--216 (2021; Zbl 1468.34111) Full Text: DOI arXiv
Gjata, Oltiana; Zanolin, Fabio Complicated dynamics in a model of charged particles. (English) Zbl 1485.34124 Rend. Ist. Mat. Univ. Trieste 52, 7-25 (2020). Reviewer: Ndolane Sene (Dakar) MSC: 34C28 34C60 34C15 34C37 37C60 37J40 PDFBibTeX XMLCite \textit{O. Gjata} and \textit{F. Zanolin}, Rend. Ist. Mat. Univ. Trieste 52, 7--25 (2020; Zbl 1485.34124) Full Text: DOI Link
Franco, Francis F.; Rempel, Erico L. Chaotic saddles in a generalized Lorenz model of magnetoconvection. (English) Zbl 1466.70024 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2030034, 9 p. (2020). MSC: 70K55 76E25 76W05 37D45 PDFBibTeX XMLCite \textit{F. F. Franco} and \textit{E. L. Rempel}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2030034, 9 p. (2020; Zbl 1466.70024) Full Text: DOI arXiv
Belozyorov, Vasiliy Ye. Universal approach to the problem of emergence of chaos in autonomous dynamical systems. (English) Zbl 1439.34044 Nonlinear Dyn. 95, No. 1, 579-595 (2019). MSC: 34C28 37D45 34D45 PDFBibTeX XMLCite \textit{V. Ye. Belozyorov}, Nonlinear Dyn. 95, No. 1, 579--595 (2019; Zbl 1439.34044) Full Text: DOI
Yagasaki, Kazuyuki; Yamanaka, Shogo Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers. (English) Zbl 1436.37066 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J30 37J46 34C28 37C29 37J25 70K55 37M20 PDFBibTeX XMLCite \textit{K. Yagasaki} and \textit{S. Yamanaka}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019; Zbl 1436.37066) Full Text: DOI arXiv
Bäcker, Arnd; Meiss, James D. Moser’s quadratic, symplectic map. (English) Zbl 1416.37057 Regul. Chaotic Dyn. 23, No. 6, 654-664 (2018). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J40 70H08 34C28 37C05 37J10 PDFBibTeX XMLCite \textit{A. Bäcker} and \textit{J. D. Meiss}, Regul. Chaotic Dyn. 23, No. 6, 654--664 (2018; Zbl 1416.37057) Full Text: DOI arXiv
Gu, En-Guo On the existence of chaos in a discontinuous area-preserving map arising in financial markets. (English) Zbl 1410.37035 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1850177, 14 p. (2018). MSC: 37D45 91G80 PDFBibTeX XMLCite \textit{E.-G. Gu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1850177, 14 p. (2018; Zbl 1410.37035) Full Text: DOI
Luo, Albert C. J.; Guo, Siyu Period-1 evolutions to chaos in a periodically forced Brusselator. (English) Zbl 1410.70025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1830046, 28 p. (2018). MSC: 70K55 70K40 70K50 70K42 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1830046, 28 p. (2018; Zbl 1410.70025) Full Text: DOI
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M. Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study. (English) Zbl 1408.37087 SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784-2829 (2018). MSC: 37G20 37C29 37M20 34C45 34C23 37D45 PDFBibTeX XMLCite \textit{A. Giraldo} et al., SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784--2829 (2018; Zbl 1408.37087) Full Text: DOI
Belozyorov, Vasiliy Ye On novel conditions of chaotic attractors existence in autonomous polynomial dynamical systems. (English) Zbl 1392.37033 Nonlinear Dyn. 91, No. 4, 2435-2452 (2018). MSC: 37D45 34C28 PDFBibTeX XMLCite \textit{V. Y. Belozyorov}, Nonlinear Dyn. 91, No. 4, 2435--2452 (2018; Zbl 1392.37033) Full Text: DOI
Feng, Jinqian Analysis of chaotic saddles in a nonlinear vibro-impact system. (English) Zbl 1510.70062 Commun. Nonlinear Sci. Numer. Simul. 48, 39-50 (2017). MSC: 70K55 37N05 PDFBibTeX XMLCite \textit{J. Feng}, Commun. Nonlinear Sci. Numer. Simul. 48, 39--50 (2017; Zbl 1510.70062) Full Text: DOI
Kozlov, A. D. Examples of strange attractors in the three-dimentional nonoriented maps. (Russian. English summary) Zbl 1413.37023 Zh. Sredn. Mat. Obshch. 19, No. 2, 62-75 (2017). Reviewer: Tatuana Badokina (Saransk) MSC: 37D45 37C29 37C70 PDFBibTeX XMLCite \textit{A. D. Kozlov}, Zh. Sredn. Mat. Obshch. 19, No. 2, 62--75 (2017; Zbl 1413.37023)
Han, Xiaoying; Kloeden, Peter Attractors under discretisation. (English) Zbl 1381.65099 SpringerBriefs in Mathematics; BCAM SpringerBriefs. Cham: Springer; Bilbao: BCAM – Basque Center for Applied Mathematics (ISBN 978-3-319-61933-0/pbk; 978-3-319-61934-7/ebook). xi, 122 p. (2017). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P40 65L05 65L07 65L20 37M25 65P20 65-02 34A30 37D45 37C70 PDFBibTeX XMLCite \textit{X. Han} and \textit{P. Kloeden}, Attractors under discretisation. Cham: Springer; Bilbao: BCAM -- Basque Center for Applied Mathematics (2017; Zbl 1381.65099) Full Text: DOI
Li, Dongchen; Turaev, Dmitry V. Existence of heterodimensional cycles near shilnikov loops in systems with a \(\mathbb{Z}_2\) symmetry. (English) Zbl 1360.37129 Discrete Contin. Dyn. Syst. 37, No. 8, 4399-4437 (2017). MSC: 37G20 37G25 37G35 PDFBibTeX XMLCite \textit{D. Li} and \textit{D. V. Turaev}, Discrete Contin. Dyn. Syst. 37, No. 8, 4399--4437 (2017; Zbl 1360.37129) Full Text: DOI arXiv
Li, Dongchen Homoclinic bifurcations that give rise to heterodimensional cycles near a saddle-focus equilibrium. (English) Zbl 1381.37061 Nonlinearity 30, No. 1, 173-206 (2017). Reviewer: Alessandro Calamai (Ancona) MSC: 37G20 37G25 PDFBibTeX XMLCite \textit{D. Li}, Nonlinearity 30, No. 1, 173--206 (2017; Zbl 1381.37061) Full Text: DOI arXiv
Jakimowicz, Aleksander Fundamental sources of economic complexity. (English) Zbl 1401.91261 Int. J. Nonlinear Sci. Numer. Simul. 17, No. 1, 1-13 (2016). MSC: 91B55 91B62 37N40 37D45 PDFBibTeX XMLCite \textit{A. Jakimowicz}, Int. J. Nonlinear Sci. Numer. Simul. 17, No. 1, 1--13 (2016; Zbl 1401.91261) Full Text: DOI
Belozyorov, Vasiliy Ye. A novel search method of chaotic autonomous quadratic dynamical systems without equilibrium points. (English) Zbl 1349.37021 Nonlinear Dyn. 86, No. 2, 835-860 (2016). MSC: 37D45 37C25 34C28 PDFBibTeX XMLCite \textit{V. Ye. Belozyorov}, Nonlinear Dyn. 86, No. 2, 835--860 (2016; Zbl 1349.37021) Full Text: DOI
Lai, Qiang; Chen, Shiming Generating multiple chaotic attractors from Sprott B system. (English) Zbl 1349.34161 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 11, Article ID 1650177, 13 p. (2016). MSC: 34C60 34C28 34D45 37D45 34C05 34D08 PDFBibTeX XMLCite \textit{Q. Lai} and \textit{S. Chen}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 11, Article ID 1650177, 13 p. (2016; Zbl 1349.34161) Full Text: DOI
Leonov, G. A. Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations. (English) Zbl 1354.37033 Nonlinear Dyn. 84, No. 2, 1055-1062 (2016). MSC: 37C29 34C37 37D45 37G10 PDFBibTeX XMLCite \textit{G. A. Leonov}, Nonlinear Dyn. 84, No. 2, 1055--1062 (2016; Zbl 1354.37033) Full Text: DOI
Belozyorov, Vasiliy Ye.; Volkova, Svetlana A. Role of logistic and Ricker’s maps in appearance of chaos in autonomous quadratic dynamical systems. (English) Zbl 1349.37022 Nonlinear Dyn. 83, No. 1-2, 719-729 (2016). MSC: 37D45 37E05 34C05 PDFBibTeX XMLCite \textit{V. Ye. Belozyorov} and \textit{S. A. Volkova}, Nonlinear Dyn. 83, No. 1--2, 719--729 (2016; Zbl 1349.37022) Full Text: DOI Link
Figueras, Jordi-Lluís; Haro, Àlex A note on the fractalization of saddle invariant curves in quasiperiodic systems. (English) Zbl 1366.37115 Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 1095-1107 (2016). MSC: 37G35 37C55 37D45 PDFBibTeX XMLCite \textit{J.-L. Figueras} and \textit{À. Haro}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 1095--1107 (2016; Zbl 1366.37115) Full Text: DOI
Drótos, G.; Jung, C. The chaotic saddle of a three degrees of freedom scattering system reconstructed from cross-section data. (English) Zbl 1344.81101 J. Phys. A, Math. Theor. 49, No. 23, Article ID 235101, 11 p. (2016). MSC: 81Q50 81U05 81U40 PDFBibTeX XMLCite \textit{G. Drótos} and \textit{C. Jung}, J. Phys. A, Math. Theor. 49, No. 23, Article ID 235101, 11 p. (2016; Zbl 1344.81101) Full Text: DOI
Belozyorov, Vasiliy Ye. Invariant approach to existence problem of chaos in 3D autonomous quadratic dynamical systems. (English) Zbl 1334.34093 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 1, Article ID 1650012, 14 p. (2016). MSC: 34C28 34C37 34C05 34C14 PDFBibTeX XMLCite \textit{V. Ye. Belozyorov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 1, Article ID 1650012, 14 p. (2016; Zbl 1334.34093) Full Text: DOI
Lopesino, Carlos; Balibrea, Francisco; Wiggins, Stephen; Mancho, Ana M. Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps. (English) Zbl 1457.37037 Commun. Nonlinear Sci. Numer. Simul. 27, No. 1-3, 40-51 (2015). MSC: 37C60 37D05 PDFBibTeX XMLCite \textit{C. Lopesino} et al., Commun. Nonlinear Sci. Numer. Simul. 27, No. 1--3, 40--51 (2015; Zbl 1457.37037) Full Text: DOI arXiv
Lopesino, Carlos; Balibrea-Iniesta, Francisco; Wiggins, Stephen; Mancho, Ana M. The chaotic saddle in the Lozi map, autonomous and nonautonomous versions. (English) Zbl 1330.37044 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1550184, 18 p. (2015). MSC: 37E30 37D45 37B55 PDFBibTeX XMLCite \textit{C. Lopesino} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1550184, 18 p. (2015; Zbl 1330.37044) Full Text: DOI arXiv
Li, S. B.; Shen, C.; Zhang, W.; Hao, Y. X. Homoclinic bifurcations and chaotic dynamics for a piecewise linear system under a periodic excitation and a viscous damping. (English) Zbl 1331.37029 Nonlinear Dyn. 79, No. 4, 2395-2406 (2015). MSC: 37C29 37D45 93B52 37J45 PDFBibTeX XMLCite \textit{S. B. Li} et al., Nonlinear Dyn. 79, No. 4, 2395--2406 (2015; Zbl 1331.37029) Full Text: DOI
Belozyorov, Vasiliy Ye. Exponential-algebraic maps and chaos in 3D autonomous quadratic systems. (English) Zbl 1314.34091 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 4, Article ID 1550048, 24 p. (2015). MSC: 34C28 34A34 37E05 37D45 34C05 34C37 PDFBibTeX XMLCite \textit{V. Ye. Belozyorov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 4, Article ID 1550048, 24 p. (2015; Zbl 1314.34091) Full Text: DOI
Mohapatra, Anushaya; Ott, William Homoclinic loops, heteroclinic cycles, and rank one dynamics. (English) Zbl 1376.37058 SIAM J. Appl. Dyn. Syst. 14, No. 1, 107-131 (2015). MSC: 37C29 37C40 37D25 37D45 37G20 37G35 PDFBibTeX XMLCite \textit{A. Mohapatra} and \textit{W. Ott}, SIAM J. Appl. Dyn. Syst. 14, No. 1, 107--131 (2015; Zbl 1376.37058) Full Text: DOI Link
Xie, Lingli A discussion on the coexistence of heteroclinic orbit and saddle foci for third-order systems. (English) Zbl 1317.34095 J. Math. Anal. Appl. 412, No. 2, 878-894 (2014). MSC: 34C37 34C05 34C28 PDFBibTeX XMLCite \textit{L. Xie}, J. Math. Anal. Appl. 412, No. 2, 878--894 (2014; Zbl 1317.34095) Full Text: DOI
Afraimovich, Valentin S.; Gonchenko, Sergey V.; Lerman, Lev M.; Shilnikov, Andrey L.; Turaev, Dmitry V. Scientific heritage of L. P. Shilnikov. (English) Zbl 1353.37001 Regul. Chaotic Dyn. 19, No. 4, 435-460 (2014). Reviewer: Svitlana P. Rogovchenko (Kristiansand) MSC: 37-02 37C29 37D45 01A65 37G15 PDFBibTeX XMLCite \textit{V. S. Afraimovich} et al., Regul. Chaotic Dyn. 19, No. 4, 435--460 (2014; Zbl 1353.37001) Full Text: DOI
Xing, Tingli; Barrio, Roberto; Shilnikov, Andrey Symbolic quest into homoclinic chaos. (English) Zbl 1300.34101 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440004, 20 p. (2014). MSC: 34C37 34C28 34C20 34A34 34C23 34D45 37B10 37D45 PDFBibTeX XMLCite \textit{T. Xing} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440004, 20 p. (2014; Zbl 1300.34101) Full Text: DOI
Sabarathinam, S.; Thamilmaran, K.; Borkowski, L.; Perlikowski, P.; Brzeski, P.; Stefanski, A.; Kapitaniak, T. Transient chaos in two coupled, dissipatively perturbed Hamiltonian Duffing oscillators. (English) Zbl 1329.37037 Commun. Nonlinear Sci. Numer. Simul. 18, No. 11, 3098-3107 (2013). MSC: 37D45 34C15 70H08 94C05 PDFBibTeX XMLCite \textit{S. Sabarathinam} et al., Commun. Nonlinear Sci. Numer. Simul. 18, No. 11, 3098--3107 (2013; Zbl 1329.37037) Full Text: DOI
Vaganova, N. I.; Rumanov, E. N. Frequency locking of dynamic chaos. (Russian, English) Zbl 1313.37038 Dokl. Akad. Nauk, Ross. Akad. Nauk 452, No. 5, 507-509 (2013); translation in Dokl. Phys. 58, No. 10, 421- 423 (2013). Reviewer: Andrei Zemskov (Moskva) MSC: 37D45 34D06 PDFBibTeX XMLCite \textit{N. I. Vaganova} and \textit{E. N. Rumanov}, Dokl. Akad. Nauk, Ross. Akad. Nauk 452, No. 5, 507--509 (2013; Zbl 1313.37038); translation in Dokl. Phys. 58, No. 10, 421- 423 (2013) Full Text: DOI
Gonchenko, S. V.; Ovsyannikov, I. I. On global bifurcations of three-dimensional diffeomorphisms leading to Lorenz-like attractors. (English) Zbl 1331.37066 Math. Model. Nat. Phenom. 8, No. 5, 71-83 (2013). MSC: 37G25 37C05 37C29 37G35 37D45 PDFBibTeX XMLCite \textit{S. V. Gonchenko} and \textit{I. I. Ovsyannikov}, Math. Model. Nat. Phenom. 8, No. 5, 71--83 (2013; Zbl 1331.37066) Full Text: DOI
Chen, Qiaoling; Teng, Zhidong; Hu, Zengyun Bifurcation and control for a discrete-time prey-predator model with Holling-IV functional response. (English) Zbl 1279.49027 Int. J. Appl. Math. Comput. Sci. 23, No. 2, 247-261 (2013). MSC: 49N75 39A28 39A33 PDFBibTeX XMLCite \textit{Q. Chen} et al., Int. J. Appl. Math. Comput. Sci. 23, No. 2, 247--261 (2013; Zbl 1279.49027) Full Text: DOI
Ma, Junhai; Bangura, Hamza I. Complexity analysis research of financial and economic system under the condition of three parameters’ change circumstances. (English) Zbl 1268.34084 Nonlinear Dyn. 70, No. 4, 2313-2326 (2012). MSC: 34C28 93D30 34D08 34C23 91G80 PDFBibTeX XMLCite \textit{J. Ma} and \textit{H. I. Bangura}, Nonlinear Dyn. 70, No. 4, 2313--2326 (2012; Zbl 1268.34084) Full Text: DOI
Belozyorov, Vasiliy Ye. New types of 3-D systems of quadratic differential equations with chaotic dynamics based on Ricker discrete population model. (English) Zbl 1247.34069 Appl. Math. Comput. 218, No. 8, 4546-4566 (2011). MSC: 34C28 34D45 34C05 37D45 PDFBibTeX XMLCite \textit{V. Ye. Belozyorov}, Appl. Math. Comput. 218, No. 8, 4546--4566 (2011; Zbl 1247.34069) Full Text: DOI
Feng, Jinqian; Xu, Wei Merging crisis of chaotic saddle in a Duffing unilateral vibro-impact system. (Chinese. English summary) Zbl 1249.37015 Acta Phys. Sin. 60, No. 8, 080502 (2011). MSC: 37D45 34C15 PDFBibTeX XMLCite \textit{J. Feng} and \textit{W. Xu}, Acta Phys. Sin. 60, No. 8, 080502 (2011; Zbl 1249.37015)
Zhang, Ying; Rossetto, Bruno; Xu, Wei; Yue, Xiaole; Fang, Tong Roles of chaotic saddle and basin of attraction in bifurcation and crisis analysis. (English) Zbl 1215.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 3, 903-915 (2011). MSC: 34C15 34C23 34C28 34D45 34D05 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 3, 903--915 (2011; Zbl 1215.34041) Full Text: DOI
Morales, Carlos On spiral periodic points and saddles for surface diffeomorphisms. (English) Zbl 1218.37041 Discrete Contin. Dyn. Syst. 29, No. 3, 1191-1195 (2011). Reviewer: Stefano Galatolo (Pisa) MSC: 37D30 37D45 PDFBibTeX XMLCite \textit{C. Morales}, Discrete Contin. Dyn. Syst. 29, No. 3, 1191--1195 (2011; Zbl 1218.37041) Full Text: DOI
Wang, Qiudong; Oksasoglu, Ali Dynamics of homoclinic tangles in periodically perturbed second-order equations. (English) Zbl 1218.34053 J. Differ. Equations 250, No. 2, 710-751 (2011). Reviewer: Jaume Giné (Lleida) MSC: 34C37 37D45 37C29 34C28 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{A. Oksasoglu}, J. Differ. Equations 250, No. 2, 710--751 (2011; Zbl 1218.34053) Full Text: DOI arXiv
Gonchenko, S. V.; Gonchenko, V. S.; Shilnikov, L. P. On a homoclinic origin of Hénon-like maps. (English) Zbl 1203.37035 Regul. Chaotic Dyn. 15, No. 4-5, 462-481 (2010). MSC: 37C29 37G25 37D45 PDFBibTeX XMLCite \textit{S. V. Gonchenko} et al., Regul. Chaotic Dyn. 15, No. 4--5, 462--481 (2010; Zbl 1203.37035) Full Text: DOI
Zambrano, Samuel; Sanjuán, Miguel A. F. Partial control of chaotic systems. (English) Zbl 1190.37037 Sanjuán, Miguel A. F. (ed.) et al., Recent progress in controlling chaos. Hackensack, NJ: World Scientific (ISBN 978-981-4291-69-9/hbk). Series on Stability, Vibration and Control of Systems, Series B 16, 315-335 (2010). MSC: 37D45 37N35 93C55 PDFBibTeX XMLCite \textit{S. Zambrano} and \textit{M. A. F. Sanjuán}, in: Recent progress in controlling chaos. Hackensack, NJ: World Scientific. 315--335 (2010; Zbl 1190.37037) Full Text: DOI
Kovács, T.; Érdi, B. Transient chaos in the Sitnikov problem. (English) Zbl 1223.70025 Celest. Mech. Dyn. Astron. 105, No. 4, 289-304 (2009). MSC: 70F07 70K55 PDFBibTeX XMLCite \textit{T. Kovács} and \textit{B. Érdi}, Celest. Mech. Dyn. Astron. 105, No. 4, 289--304 (2009; Zbl 1223.70025) Full Text: DOI
Kalabušić, S.; Kulenović, M. R. S.; Pilav, E. Global dynamics of a competitive system of rational difference equations in the plane. (English) Zbl 1187.39024 Adv. Difference Equ. 2009, Article ID 132802, 30 p. (2009). MSC: 39A30 39A20 37D45 39A12 PDFBibTeX XMLCite \textit{S. Kalabušić} et al., Adv. Difference Equ. 2009, Article ID 132802, 30 p. (2009; Zbl 1187.39024) Full Text: DOI
Bánhelyi, Balázs; Csendes, Tibor; Garay, Barnabas M. \(\Sigma_2\)-chaos in iterates of the classical Hénon mapping. (English) Zbl 1182.65194 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 857-860 (2009). MSC: 65P20 37D45 37C29 PDFBibTeX XMLCite \textit{B. Bánhelyi} et al., AIP Conf. Proc. 1168, 857--860 (2009; Zbl 1182.65194) Full Text: DOI
Zou, Hailin; Xu, Jianxue Improved generalized cell mapping for global analysis of dynamical systems. (English) Zbl 1186.37097 Sci. China, Ser. E 52, No. 3, 787-800 (2009). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37M25 PDFBibTeX XMLCite \textit{H. Zou} and \textit{J. Xu}, Sci. China, Ser. E 52, No. 3, 787--800 (2009; Zbl 1186.37097) Full Text: DOI
Broer, Henk; Simó, Carles; Vitolo, Renato The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol’d resonance web. (English) Zbl 1154.37319 Bull. Belg. Math. Soc. - Simon Stevin 15, No. 5, 769-787 (2008). MSC: 37C05 37C25 37G10 37D45 35B34 PDFBibTeX XMLCite \textit{H. Broer} et al., Bull. Belg. Math. Soc. - Simon Stevin 15, No. 5, 769--787 (2008; Zbl 1154.37319) Full Text: Euclid
Cao, Qingjie; Wiercigroch, Marian; Pavlovskaia, Ekaterina E.; Thompson, J. Michael T.; Grebogi, Celso Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics. (English) Zbl 1153.34329 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1865, 635-652 (2008). MSC: 34C10 37N15 70K40 70K55 PDFBibTeX XMLCite \textit{Q. Cao} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1865, 635--652 (2008; Zbl 1153.34329) Full Text: DOI
Zambrano, Samuel; Sanjuán, Miguel A. F. Control of transient chaos using safe sets in simple dynamical systems. (English) Zbl 1151.37034 Staicu, Vasile (ed.), Differential equations, chaos and variational problems. Papers from the conference “Views on ODE’s”, Aveiro, Portugal, June 2006. Basel: Birkhäuser (ISBN 978-3-7643-8481-4/hbk). Progress in Nonlinear Differential Equations and Their Applications 75, 425-435 (2008). MSC: 37E05 34C28 93C10 PDFBibTeX XMLCite \textit{S. Zambrano} and \textit{M. A. F. Sanjuán}, Prog. Nonlinear Differ. Equ. Appl. 75, 425--435 (2008; Zbl 1151.37034) Full Text: DOI
Eckhardt, Bruno; Schneider, Tobias M.; Hof, Bjorn; Westerweel, Jerry Turbulence transition in pipe flow. (English) Zbl 1296.76062 Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 39. Palo Alto, CA: Annual Reviews (ISBN 0-8243-0739-9/hbk). Annual Review of Fluid Mechanics 39, 447-468 (2007). MSC: 76F06 76-02 PDFBibTeX XMLCite \textit{B. Eckhardt} et al., Annu. Rev. Fluid Mech. 39, 447--468 (2007; Zbl 1296.76062)
Song, Zigen; Li, Qunhong; Xue, Jieqiong; Wei, Yanhui Study on bifurcation and chaos of an ion channel model in cell membranes. (Chinese. English summary) Zbl 1150.92310 J. Henan Norm. Univ., Nat. Sci. 35, No. 2, 1-4 (2007). MSC: 92C37 37D45 37G10 PDFBibTeX XMLCite \textit{Z. Song} et al., J. Henan Norm. Univ., Nat. Sci. 35, No. 2, 1--4 (2007; Zbl 1150.92310)
Gelfert, Katrin; Kantz, Holger Dynamical quantities and their numerical analysis by saddle periodic orbits. (English) Zbl 1126.37023 Physica D 232, No. 2, 166-172 (2007). MSC: 37E05 37B40 37D45 37E15 PDFBibTeX XMLCite \textit{K. Gelfert} and \textit{H. Kantz}, Physica D 232, No. 2, 166--172 (2007; Zbl 1126.37023) Full Text: DOI
Magnitskii, N. A.; Sidorov, S. V. Transition to chaos in nonlinear dynamical systems described by ordinary differential equations. (English. Russian original) Zbl 1126.37010 Comput. Math. Model. 18, No. 2, 128-147 (2007); translation from Nelinejn. Din. Upr. 3, 73-98 (2003). MSC: 37C10 34C28 37D45 37E20 37C29 37G25 PDFBibTeX XMLCite \textit{N. A. Magnitskii} and \textit{S. V. Sidorov}, Comput. Math. Model. 18, No. 2, 128--147 (2007; Zbl 1126.37010); translation from Nelinejn. Din. Upr. 3, 73--98 (2003) Full Text: DOI
Benczik, I. J.; Tél, T.; Köllő, Z. Modulated point-vortex couples on a beta-plane: dynamics and chaotic advection. (English) Zbl 1114.76012 J. Fluid Mech. 582, 1-22 (2007). MSC: 76B47 76R99 76U05 86A10 86A05 PDFBibTeX XMLCite \textit{I. J. Benczik} et al., J. Fluid Mech. 582, 1--22 (2007; Zbl 1114.76012) Full Text: DOI
Pumariño, Antonio; Tatjer, Joan Carles Dynamics near homoclinic bifurcations of three-dimensional dissipative diffeomorphisms. (English) Zbl 1111.37013 Nonlinearity 19, No. 12, 2833-2852 (2006). MSC: 37C29 37D45 37G25 PDFBibTeX XMLCite \textit{A. Pumariño} and \textit{J. C. Tatjer}, Nonlinearity 19, No. 12, 2833--2852 (2006; Zbl 1111.37013) Full Text: DOI
Kloeden, Peter; Li, Zhong Li–Yorke chaos in higher dimensions: a review. (English) Zbl 1096.39019 J. Difference Equ. Appl. 12, No. 3-4, 247-269 (2006). Reviewer: Antonio Linero Bas (Murcia) MSC: 39A12 37D45 PDFBibTeX XMLCite \textit{P. Kloeden} and \textit{Z. Li}, J. Difference Equ. Appl. 12, No. 3--4, 247--269 (2006; Zbl 1096.39019) Full Text: DOI
Hong, Ling; Sun, Jian-Qiao Bifurcations of forced oscillators with fuzzy uncertainties by the generalized cell mapping method. (English) Zbl 1101.37053 Chaos Solitons Fractals 27, No. 4, 895-904 (2006). MSC: 37N99 37G99 93C42 34C15 PDFBibTeX XMLCite \textit{L. Hong} and \textit{J.-Q. Sun}, Chaos Solitons Fractals 27, No. 4, 895--904 (2006; Zbl 1101.37053) Full Text: DOI
Ma, Jun-Hai; Ren, Biao; Chen, Yu-Shu Analysis and applied study of dynamic characteristics of chaotic repeller in complicated system. (English) Zbl 1144.68386 Appl. Math. Mech., Engl. Ed. 26, No. 4, 449-456 (2005). MSC: 68W99 32H50 03C99 PDFBibTeX XMLCite \textit{J.-H. Ma} et al., Appl. Math. Mech., Engl. Ed. 26, No. 4, 449--456 (2005; Zbl 1144.68386) Full Text: DOI
Tyrkiel, Elżbieta On the role of chaotic saddles in generating chaotic dynamics in nonlinear driven oscillators. (English) Zbl 1089.37030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 4, 1215-1238 (2005). MSC: 37D45 37G25 34C15 34C23 34C37 PDFBibTeX XMLCite \textit{E. Tyrkiel}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 4, 1215--1238 (2005; Zbl 1089.37030) Full Text: DOI
Hill, D. L. An extension of a method of Yagasaki and Uozumi. (English) Zbl 1082.37028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 2, 681-688 (2005). MSC: 37D45 93C10 37N35 PDFBibTeX XMLCite \textit{D. L. Hill}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 2, 681--688 (2005; Zbl 1082.37028) Full Text: DOI
Shang, Desheng; Han, Maoan The existence of homoclinic orbits to saddle-focus. (English) Zbl 1080.37018 Appl. Math. Comput. 163, No. 2, 621-631 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37C29 34C37 37D45 PDFBibTeX XMLCite \textit{D. Shang} and \textit{M. Han}, Appl. Math. Comput. 163, No. 2, 621--631 (2005; Zbl 1080.37018) Full Text: DOI
Shilnikov, Andrey; Shilnikov, Leonid; Turaev, Dmitry On some mathematical topics in classical synchronization. A tutorial. (English) Zbl 1077.37509 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 7, 2143-2160 (2004). MSC: 37D45 PDFBibTeX XMLCite \textit{A. Shilnikov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 7, 2143--2160 (2004; Zbl 1077.37509) Full Text: DOI
Peterka, František; Kotera, Tadashi; Čipera, Stanislav Explanation of appearance and characteristics of intermittency chaos of the impact oscillator. (English) Zbl 1075.37536 Chaos Solitons Fractals 19, No. 5, 1251-1259 (2004). MSC: 37N05 37M05 70K50 70K40 34C15 70K55 PDFBibTeX XMLCite \textit{F. Peterka} et al., Chaos Solitons Fractals 19, No. 5, 1251--1259 (2004; Zbl 1075.37536) Full Text: DOI
Lysetskiy, Mykola; Zurada, Jacek M. Bifurcating neuron: Computation and learning. (English) Zbl 1121.68383 Neural Netw. 17, No. 2, 225-232 (2004). MSC: 68T05 37N25 37D45 PDFBibTeX XMLCite \textit{M. Lysetskiy} and \textit{J. M. Zurada}, Neural Netw. 17, No. 2, 225--232 (2004; Zbl 1121.68383) Full Text: DOI
Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen One-dimensional unstable eigenfunction and manifold computations in delay differential equations. (English) Zbl 1052.65115 J. Comput. Phys. 197, No. 1, 86-98 (2004). MSC: 65P30 65L15 37M20 34K18 37C27 37D45 34K28 34L16 PDFBibTeX XMLCite \textit{K. Green} et al., J. Comput. Phys. 197, No. 1, 86--98 (2004; Zbl 1052.65115) Full Text: DOI Link
Hong, Ling; Xu, Jianxue A chaotic crisis between chaotic saddle and attractor in forced Duffing oscillators. (English) Zbl 1046.34071 Commun. Nonlinear Sci. Numer. Simul. 9, No. 3, 313-329 (2004). MSC: 34C28 34C15 PDFBibTeX XMLCite \textit{L. Hong} and \textit{J. Xu}, Commun. Nonlinear Sci. Numer. Simul. 9, No. 3, 313--329 (2004; Zbl 1046.34071) Full Text: DOI
Hong, Ling; Xu, Jianxue Chaotic saddles in Wada basin boundaries and their bifurcations by the generalized cell-mapping digraph (GCMD) method. (English) Zbl 1081.70506 Nonlinear Dyn. 32, No. 4, 371-385 (2003). MSC: 70K55 70K50 PDFBibTeX XMLCite \textit{L. Hong} and \textit{J. Xu}, Nonlinear Dyn. 32, No. 4, 371--385 (2003; Zbl 1081.70506) Full Text: DOI
Foroni, I.; Gardini, L. Heterogeneous models with learning and homoclinic bifurcations. (English) Zbl 1055.91014 Cowan, Robin (ed.) et al., Heterogenous agents, interactions and economic performance. Selected papers of the 6th workshop on economics with heterogeneous interacting agents (WEHIA), Maastricht, Netherlands, 2001. Berlin: Springer (ISBN 3-540-44057-7/pbk). Lect. Notes Econ. Math. Syst. 521, 43-59 (2003). MSC: 91B26 37N40 PDFBibTeX XMLCite \textit{I. Foroni} and \textit{L. Gardini}, Lect. Notes Econ. Math. Syst. 521, 43--59 (2003; Zbl 1055.91014)
Costa, Maria João Chaotic behaviour of one-dimensional saddle-node horseshoes. (English) Zbl 1031.37042 Discrete Contin. Dyn. Syst. 9, No. 3, 505-548 (2003). Reviewer: Boris V.Loginov (Ulyanovsk) MSC: 37G15 37D45 74H60 74H65 PDFBibTeX XMLCite \textit{M. J. Costa}, Discrete Contin. Dyn. Syst. 9, No. 3, 505--548 (2003; Zbl 1031.37042) Full Text: DOI
Frouzakis, Christos E.; Kevrekidis, Ioannis G.; Peckham, Bruce B. A route to computational chaos revisited: Noninvertibility and the breakup of an invariant circle. (English) Zbl 1011.37017 Physica D 177, No. 1-4, 101-121 (2003). MSC: 37D45 37E99 37G15 37M20 PDFBibTeX XMLCite \textit{C. E. Frouzakis} et al., Physica D 177, No. 1--4, 101--121 (2003; Zbl 1011.37017) Full Text: DOI arXiv
Ghane, F. H.; Honary, B. Positive Liapunov exponents for families of multimodal circle maps. (English) Zbl 1167.37338 Algebras Groups Geom. 19, No. 3, 357-372 (2002). MSC: 37E10 37D25 37D45 PDFBibTeX XMLCite \textit{F. H. Ghane} and \textit{B. Honary}, Algebras Groups Geom. 19, No. 3, 357--372 (2002; Zbl 1167.37338)
Santoboni, Giovanni; Nishikawa, Takashi; Toroczkai, Zoltán; Grebogi, Celso Autocatalytic reactions of phase distributed active particles. (English) Zbl 1080.76584 Chaos 12, No. 2, 408-416 (2002). MSC: 76V05 37N10 80A32 PDFBibTeX XMLCite \textit{G. Santoboni} et al., Chaos 12, No. 2, 408--416 (2002; Zbl 1080.76584) Full Text: DOI
Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback. (English) Zbl 1023.34064 Physica D 173, No. 1-2, 114-129 (2002). Reviewer: Jan Sieber (Bristol) MSC: 34K18 34K23 78A60 PDFBibTeX XMLCite \textit{K. Green} et al., Physica D 173, No. 1--2, 114--129 (2002; Zbl 1023.34064) Full Text: DOI
Homburg, Ale Jan Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria. (English) Zbl 1017.37012 Nonlinearity 15, No. 4, 1029-1050 (2002). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 37C29 37G20 37D45 37-02 PDFBibTeX XMLCite \textit{A. J. Homburg}, Nonlinearity 15, No. 4, 1029--1050 (2002; Zbl 1017.37012) Full Text: DOI Link
Messias, Marcelo Periodic perturbations of quadratic planar polynomials vector fields. (English) Zbl 1033.37010 An. Acad. Bras. Ciênc. 74, No. 2, 193-198 (2002). Reviewer: Yuri V. Rogovchenko (Famagusta) MSC: 37C10 37C29 PDFBibTeX XMLCite \textit{M. Messias}, An. Acad. Bras. Ciênc. 74, No. 2, 193--198 (2002; Zbl 1033.37010) Full Text: DOI
Malasoma, J.-M. Countable infinite sequence of attractors’ families for the simplest known equivariant chaotic flow. (English) Zbl 1067.37045 Chaos Solitons Fractals 13, No. 9, 1835-1842 (2002). MSC: 37D45 34C28 37G10 PDFBibTeX XMLCite \textit{J. M. Malasoma}, Chaos Solitons Fractals 13, No. 9, 1835--1842 (2002; Zbl 1067.37045) Full Text: DOI
Kapitaniak, Tomasz Partially nearly riddled basins in systems with chaotic saddle. (English) Zbl 1005.37014 Chaos Solitons Fractals 12, No. 13, 2363-2367 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37D45 PDFBibTeX XMLCite \textit{T. Kapitaniak}, Chaos Solitons Fractals 12, No. 13, 2363--2367 (2001; Zbl 1005.37014) Full Text: DOI
Cao, Hongjun; Jing, Zhujun Chaotic dynamics of Josephson equation driven by constant dc and ac forcings. (English) Zbl 0994.70018 Chaos Solitons Fractals 12, No. 10, 1887-1895 (2001). MSC: 70K55 70K44 78A55 PDFBibTeX XMLCite \textit{H. Cao} and \textit{Z. Jing}, Chaos Solitons Fractals 12, No. 10, 1887--1895 (2001; Zbl 0994.70018) Full Text: DOI
Pisarchik, A. N.; Corbalán, R. Shift of attractor boundaries in a system with a slow harmonic parameter perturbation. (English) Zbl 0986.34035 Physica D 150, No. 1-2, 14-24 (2001). MSC: 34C23 37G10 34C28 34D45 34D10 PDFBibTeX XMLCite \textit{A. N. Pisarchik} and \textit{R. Corbalán}, Physica D 150, No. 1--2, 14--24 (2001; Zbl 0986.34035) Full Text: DOI
Lai, Ying-Cheng Pseudo-riddling in chaotic systems. (English) Zbl 0984.37036 Physica D 150, No. 1-2, 1-13 (2001). Reviewer: Yuri V.Rogovchenko (Famagusta) MSC: 37D45 37G35 PDFBibTeX XMLCite \textit{Y.-C. Lai}, Physica D 150, No. 1--2, 1--13 (2001; Zbl 0984.37036) Full Text: DOI
Jing, Zhujun; Chan, K. Y.; Xu, Dashun; Cao, Hongjun Bifurcations of periodic solutions and chaos in Josephson system. (English) Zbl 0993.34038 Discrete Contin. Dyn. Syst. 7, No. 3, 573-592 (2001). Reviewer: Christian Mira (Quint) MSC: 34C23 34C25 35B32 37G35 34C15 34C28 34D10 PDFBibTeX XMLCite \textit{Z. Jing} et al., Discrete Contin. Dyn. Syst. 7, No. 3, 573--592 (2001; Zbl 0993.34038) Full Text: DOI
Pintus, Patrick; Sands, Duncan; de Vilder, Robin On the transition from local regular to global irregular fluctuations. (English) Zbl 0996.37080 J. Econ. Dyn. Control 24, No. 2, 247-272 (2000). MSC: 37N40 91B62 PDFBibTeX XMLCite \textit{P. Pintus} et al., J. Econ. Dyn. Control 24, No. 2, 247--272 (2000; Zbl 0996.37080) Full Text: DOI
Kalies, W. D.; Kwapisz, J.; VandenBerg, J. B.; VanderVorst, R. C. A. M. Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems. (English) Zbl 0980.37017 Commun. Math. Phys. 214, No. 3, 573-592 (2000); erratum ibid. 215, No. 3, 707 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37J99 PDFBibTeX XMLCite \textit{W. D. Kalies} et al., Commun. Math. Phys. 214, No. 3, 573--592 (2000; Zbl 0980.37017) Full Text: DOI
Zaks, Michael A.; Park, Eun-Hyoung; Kurths, Jürgen On phase synchronization by periodic force in chaotic oscillators with saddle equilibria. (English) Zbl 0985.37032 Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 11, 2649-2667 (2000). MSC: 37D45 34C28 34C15 37G99 PDFBibTeX XMLCite \textit{M. A. Zaks} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 11, 2649--2667 (2000; Zbl 0985.37032) Full Text: DOI
Homburg, Ale Jan Infinite modal maps and homoclinic bifurcations. (English) Zbl 0973.37023 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 48-54 (2000). MSC: 37E05 37G20 37D45 PDFBibTeX XMLCite \textit{A. J. Homburg}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 48--54 (2000; Zbl 0973.37023)
Homburg, Ale Jan Singular heteroclinic cycles. (English) Zbl 0954.34031 J. Differ. Equations 161, No. 2, 358-402 (2000). Reviewer: Eugene Ershov (St.Peterburg) MSC: 34C23 37G20 34C37 37D45 PDFBibTeX XMLCite \textit{A. J. Homburg}, J. Differ. Equations 161, No. 2, 358--402 (2000; Zbl 0954.34031) Full Text: DOI
Gelfreich, Vassili Splitting of a small separatrix loop near the saddle-center bifurcation in area-preserving maps. (English) Zbl 0942.37016 Physica D 136, No. 3-4, 266-279 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37D30 37D45 PDFBibTeX XMLCite \textit{V. Gelfreich}, Physica D 136, No. 3--4, 266--279 (2000; Zbl 0942.37016) Full Text: DOI
Jung, C.; Lipp, C.; Seligman, T. H. The inverse scattering problem for chaotic Hamiltonian systems. (English) Zbl 0990.37048 Ann. Phys. 275, No. 2, 151-189 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37J99 70H99 70K55 PDFBibTeX XMLCite \textit{C. Jung} et al., Ann. Phys. 275, No. 2, 151--189 (1999; Zbl 0990.37048) Full Text: DOI
Basios, V.; Nicolis, G.; Bountis, T. The effect parametric noise on escape rates at the onset of homoclinic chaos. (English) Zbl 0977.70019 Spanos, P. D. (ed.), Computational stochastic mechanics. Proceedings of the 3rd international conference (CSM’98) held on Santorini, Greece, June 14-17, 1998. Rotterdam: A. A. Balkema. 355-363 (1999). MSC: 70L05 70K55 70K44 70K40 PDFBibTeX XMLCite \textit{V. Basios} et al., in: Computational stochastic mechanics. Proceedings of the 3rd international conference (CSM'98) held on Santorini, Greece, June 14--17, 1998. Rotterdam: A. A. Balkema. 355--363 (1999; Zbl 0977.70019)
Szemplińska-Stupnicka, W.; Tyrkiel, E. Sequences of global bifurcations and multiple chaotic transients in a mechanical driven oscillator. (English) Zbl 0964.70020 Moon, Francis C. (ed.), IUTAM symposium on new applications of nonlinear and chaotic dynamics in mechanics. Proceedings of the IUTAM symposium held in Ithaca, NY, USA, July 27-August 1, 1997. Dordrecht: Kluwer Academic Publishers. Solid Mech. Appl. 63, 81-91 (1999). Reviewer: William J.Satzer jun.(St.Paul) MSC: 70K55 70K50 70K40 PDFBibTeX XMLCite \textit{W. Szemplińska-Stupnicka} and \textit{E. Tyrkiel}, Solid Mech. Appl. 63, 81--91 (1999; Zbl 0964.70020)
Collins, Pieter Dynamics forced by surface trellises. (English) Zbl 0996.37048 Barge, Marcy (ed.) et al., Geometry and topology in dynamics. AMS special session on topology in dynamics, Winston-Salem, NC, USA, October 9-10, 1998 and the AMS-AWM special session on geometry in dynamics, San Antonio, TX, USA, January 13-16, 1999. Providence, RI: American Mathematical Society. Contemp. Math. 246, 65-86 (1999). Reviewer: Azad Tagizade (Baku) MSC: 37E30 37B40 37C29 37D45 54H20 PDFBibTeX XMLCite \textit{P. Collins}, Contemp. Math. 246, 65--86 (1999; Zbl 0996.37048) Full Text: arXiv
Baptista, Murilo S.; Caldas, Iberê L. Type-II intermittency in the driven Double Scroll Circuit. (English) Zbl 0934.37040 Physica D 132, No. 3, 325-338 (1999). Reviewer: Samir Musayev (Baku) MSC: 37D45 37N20 37G25 PDFBibTeX XMLCite \textit{M. S. Baptista} and \textit{I. L. Caldas}, Physica D 132, No. 3, 325--338 (1999; Zbl 0934.37040) Full Text: DOI