Li, Yongxin; Li, Chunbiao; Liu, Sicong; Lei, Tengfei; Jiang, Yicheng An initially-controlled double-scroll hyperchaotic map. (English) Zbl 1502.39008 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250119, 13 p. (2022). MSC: 39A33 39A28 37N35 PDF BibTeX XML Cite \textit{Y. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250119, 13 p. (2022; Zbl 1502.39008) Full Text: DOI OpenURL
Deruni, Berc; Hacinliyan, Avadis S.; Kandiran, Engin; Keles, Ali C.; Kaouache, Smail; Abdelouahab, M.-S.; Hamri, N.-E. Coexisting attractors and bubbling route to chaos in modified coupled Duffing oscillators. (English) Zbl 07612921 Aust. J. Math. Anal. Appl. 18, No. 1, Article No. 13, 13 p. (2021). MSC: 34A34 37D45 37C25 37C75 PDF BibTeX XML Cite \textit{B. Deruni} et al., Aust. J. Math. Anal. Appl. 18, No. 1, Article No. 13, 13 p. (2021; Zbl 07612921) Full Text: Link OpenURL
Constantinescu, Dana; Efrem, Raluca Bifurcation analysis in a 3D symmetric system of interest in fusion plasma physics. (English) Zbl 1488.70017 An. Univ. Craiova, Ser. Mat. Inf. 46, No. 2, 381-391 (2019). MSC: 70G60 PDF BibTeX XML Cite \textit{D. Constantinescu} and \textit{R. Efrem}, An. Univ. Craiova, Ser. Mat. Inf. 46, No. 2, 381--391 (2019; Zbl 1488.70017) OpenURL
Ouannas, Adel; Khennaoui, Amina-Aicha; Bendoukha, Samir; Grassi, Giuseppe On the dynamics and control of a fractional form of the discrete double scroll. (English) Zbl 1423.39025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 6, Article ID 1950078, 10 p. (2019). MSC: 39A60 39A10 39A28 39A30 93C55 26A33 PDF BibTeX XML Cite \textit{A. Ouannas} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 6, Article ID 1950078, 10 p. (2019; Zbl 1423.39025) Full Text: DOI OpenURL
Eisenbud, David; Sammartano, Alessio Correspondence scrolls. (English) Zbl 1456.14048 Acta Math. Vietnam. 44, No. 1, 101-116 (2019). Reviewer: Nicolae Manolache (Bucureşti) MSC: 14J40 13H10 13C40 13P10 14J26 14J28 14J32 14M05 14M12 14M20 14N05 PDF BibTeX XML Cite \textit{D. Eisenbud} and \textit{A. Sammartano}, Acta Math. Vietnam. 44, No. 1, 101--116 (2019; Zbl 1456.14048) Full Text: DOI arXiv OpenURL
Noma, Atsushi Base-point-freeness of double-point divisors of smooth birational-divisors on conical rational scrolls. (English) Zbl 1397.14018 J. Algebra 504, 39-53 (2018). Reviewer: Roberto Munoz (Madrid) MSC: 14C20 14N05 PDF BibTeX XML Cite \textit{A. Noma}, J. Algebra 504, 39--53 (2018; Zbl 1397.14018) Full Text: DOI OpenURL
Odibat, Zaid; Corson, Nathalie; Aziz-Alaoui, M. A.; Alsaedi, Ahmed Chaos in fractional order cubic Chua system and synchronization. (English) Zbl 1380.34019 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 10, Article ID 1750161, 13 p. (2017). MSC: 34A08 34A34 34C28 34D06 PDF BibTeX XML Cite \textit{Z. Odibat} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 10, Article ID 1750161, 13 p. (2017; Zbl 1380.34019) Full Text: DOI OpenURL
Akhmet, M. U.; Fen, M. O. Replication of chaos. (English) Zbl 1306.34067 Commun. Nonlinear Sci. Numer. Simul. 18, No. 10, 2626-2666 (2013). MSC: 34C28 34H10 PDF BibTeX XML Cite \textit{M. U. Akhmet} and \textit{M. O. Fen}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 10, 2626--2666 (2013; Zbl 1306.34067) Full Text: DOI OpenURL
Bella, Giovanni; Mattana, Paolo; Venturi, Beatrice The double scroll chaotic attractor in the dynamics of a fixed-price IS-LM model. (English) Zbl 1262.91109 Int. J. Math. Model. Numer. Optim. 4, No. 1, 1-13 (2013). MSC: 91B55 91B62 37N40 37D45 91B60 PDF BibTeX XML Cite \textit{G. Bella} et al., Int. J. Math. Model. Numer. Optim. 4, No. 1, 1--13 (2013; Zbl 1262.91109) Full Text: DOI OpenURL
Petráš, Ivo A note on the fractional-order Volta’s system. (English) Zbl 1221.34017 Commun. Nonlinear Sci. Numer. Simul. 15, No. 2, 384-393 (2010). MSC: 34A08 37D45 PDF BibTeX XML Cite \textit{I. Petráš}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 2, 384--393 (2010; Zbl 1221.34017) Full Text: DOI OpenURL
Ginestar, D.; Parrilla, E.; Hueso, J. L.; Riera, J. Simulation of a cubic-like Chua’s oscillator with variable characteristic. (English) Zbl 1205.37006 Math. Comput. Modelling 52, No. 7-8, 1211-1218 (2010). MSC: 37-04 PDF BibTeX XML Cite \textit{D. Ginestar} et al., Math. Comput. Modelling 52, No. 7--8, 1211--1218 (2010; Zbl 1205.37006) Full Text: DOI OpenURL
Elhadj, Zeraoulia; Sprott, J. C. The discrete hyperchaotic double scroll. (English) Zbl 1167.37339 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 3, 1023-1027 (2009). MSC: 37E30 37C70 37G99 PDF BibTeX XML Cite \textit{Z. Elhadj} and \textit{J. C. Sprott}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 3, 1023--1027 (2009; Zbl 1167.37339) Full Text: DOI OpenURL
Shiraishi, Fumihide; Hatoh, Yuji Dynamic sensitivities in chaotic dynamical systems. (English) Zbl 1117.65167 Appl. Math. Comput. 186, No. 2, 1347-1359 (2007). MSC: 65P20 37D45 PDF BibTeX XML Cite \textit{F. Shiraishi} and \textit{Y. Hatoh}, Appl. Math. Comput. 186, No. 2, 1347--1359 (2007; Zbl 1117.65167) Full Text: DOI OpenURL
Medrano-T., Rene O.; Baptista, Murilo S.; Caldas, Iberê L. Homoclinic orbits in a piecewise system and their relation with invariant sets. (English) Zbl 1029.37013 Physica D 186, No. 3-4, 133-147 (2003). MSC: 37C29 37D45 PDF BibTeX XML Cite \textit{R. O. Medrano-T.} et al., Physica D 186, No. 3--4, 133--147 (2003; Zbl 1029.37013) Full Text: DOI OpenURL
Stefanov, S. Z. Self-simular behaviour of an open system. (English) Zbl 1014.93002 Syst. Anal. Modelling Simulation 41, No. 4, 689-706 (2001). Reviewer: Guy Jumarie (Montréal) MSC: 93A10 37N35 PDF BibTeX XML Cite \textit{S. Z. Stefanov}, Syst. Anal. Modell. Simul. 41, No. 4, 689--706 (2001; Zbl 1014.93002) OpenURL
Etchegoin, P. Hopping probabilities in a chaotic attractor. (English) Zbl 0977.37020 Physica A 301, No. 1-4, 97-104 (2001). MSC: 37D45 70K55 PDF BibTeX XML Cite \textit{P. Etchegoin}, Physica A 301, No. 1--4, 97--104 (2001; Zbl 0977.37020) Full Text: DOI OpenURL
Russo, Francesco On a theorem of Severi. (English) Zbl 0993.14019 Math. Ann. 316, No. 1, 1-17 (2000). Reviewer: Chen Zhijie (Shanghai) MSC: 14N05 14J26 PDF BibTeX XML Cite \textit{F. Russo}, Math. Ann. 316, No. 1, 1--17 (2000; Zbl 0993.14019) Full Text: DOI OpenURL
Mira, Christian Chua’s circuit and the qualitative theory of dynamical systems. (English) Zbl 0980.37037 Huertas, Jose L. (ed.) et al., Visions of nonlinear science in the 21st century. Festschrift dedicated to Leon O. Chua on the occasion of his 60th birthday. Lectures presented at the workshop, Sevilla, Spain, June 26, 1996. Singapore: World Scientific. World Sci. Ser. Nonlinear Sci., Ser. A. 26, 1-9 (1999). MSC: 37N20 94C05 37-02 37D45 PDF BibTeX XML Cite \textit{C. Mira}, in: Visions of nonlinear science in the 21st century. Festschrift dedicated to Leon O. Chua on the occasion of his 60th birthday. Lectures presented at the workshop, Sevilla, Spain, June 26, 1996. Singapore: World Scientific. 1--9 (1999; Zbl 0980.37037) OpenURL
Suykens, J. A. K.; Chua, L. O. \(n\)-double scroll hypercubes in 1-D CNNs. (English) Zbl 0907.58065 Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 8, 1873-1885 (1997). MSC: 37N99 92B20 37D45 PDF BibTeX XML Cite \textit{J. A. K. Suykens} and \textit{L. O. Chua}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 8, 1873--1885 (1997; Zbl 0907.58065) Full Text: DOI OpenURL
Suykens, Johan A. K.; Vandewalle, Joos Generation of \(n\)-double scrolls \((n=1, 2, 3, 4, \dots)\). (English) Zbl 0844.58063 IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 40, No. 11, 861-867 (1993). MSC: 37D45 37G99 PDF BibTeX XML Cite \textit{J. A. K. Suykens} and \textit{J. Vandewalle}, IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 40, No. 11, 861--867 (1993; Zbl 0844.58063) Full Text: DOI OpenURL
Götz, Marco; Feldmann, Ute; Schwarz, Wolfgang Synthesis of higher dimensional Chua circuits. (English) Zbl 0841.94043 IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 40, No. 11, 854-860 (1993). MSC: 94C30 37D99 94C05 PDF BibTeX XML Cite \textit{M. Götz} et al., IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 40, No. 11, 854--860 (1993; Zbl 0841.94043) Full Text: DOI OpenURL
Zou, Fan; Nossek, Josef A. Bifurcation and chaos in cellular neural networks. (English) Zbl 0782.92003 IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 40, No. 3, 166-173 (1993). MSC: 92B20 34C05 37N99 37D45 PDF BibTeX XML Cite \textit{F. Zou} and \textit{J. A. Nossek}, IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 40, No. 3, 166--173 (1993; Zbl 0782.92003) Full Text: DOI OpenURL
Komuro, M.; Tokunaga, R.; Matsumoto, T.; Chua, L. O.; Hotta, A. Global bifurcation analysis of the double scroll circuit. (English) Zbl 0756.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 139-182 (1991); errata ibid. 2, No. 1, 215 (1992). Reviewer: K.H.Kim (Montgomery) MSC: 34C23 94C05 37G99 PDF BibTeX XML Cite \textit{M. Komuro} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 139--182 (1991; Zbl 0756.34043) Full Text: DOI OpenURL
Lozi, René; Ushiki, Shigehiro Confinors and bounded-time patterns in Chua’s circuit and the double scroll family. (English) Zbl 0756.34057 Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 119-138 (1991). Reviewer: K.H.Kim (Montgomery) MSC: 34D45 34C23 94C05 37C70 PDF BibTeX XML Cite \textit{R. Lozi} and \textit{S. Ushiki}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 119--138 (1991; Zbl 0756.34057) Full Text: DOI OpenURL
Ku, Y. H.; Sun, Xiaoguang On nonlinear systems - CHAOS. (English) Zbl 0693.58013 J. Franklin Inst. 326, No. 1, 93-107 (1989). Reviewer: Yu.Virchenko MSC: 37D45 PDF BibTeX XML Cite \textit{Y. H. Ku} and \textit{X. Sun}, J. Franklin Inst. 326, No. 1, 93--107 (1989; Zbl 0693.58013) Full Text: DOI OpenURL
Rossetto, B. Geometrical structure of attractors of slow-fast dynamical systems: The double scroll chaotic oscillator. (English) Zbl 0683.34028 Differential equations, Proc. EQUADIFF Conf., Xanthi/Greece 1987, Lect. Notes Pure Appl. Math. 118, 621-628 (1989). MSC: 37-XX PDF BibTeX XML OpenURL
Silva, Christopher P.; Chua, Leon O. The overdamped double-scroll family. I: Piecewise-linear geometry and normal form. (English) Zbl 0713.34042 Int. J. Circuit Theory Appl. 16, No. 3, 233-302 (1988). Reviewer: Y.Kivshar MSC: 34C15 PDF BibTeX XML Cite \textit{C. P. Silva} and \textit{L. O. Chua}, Int. J. Circuit Theory Appl. 16, No. 3, 233--302 (1988; Zbl 0713.34042) Full Text: DOI OpenURL
Chua, L. O.; Sugawara, T. Three-dimensional rotation instrument for displaying strange attractors. (English) Zbl 0707.58032 Dynamical systems approaches to nonlinear problems in systems and circuits, Proc. Conf. Qual. Methods Anal. Nonlinear Dyn., Henniker/UK 1986, 75-116 (1988). Reviewer: A.Pelczar MSC: 37D45 34C15 34C99 51M99 PDF BibTeX XML OpenURL
Matsumoto, Takashi; Chua, Leon O.; Ayaki, Kenichiro Reality of chaos in the double scroll circuit: A computer-assisted proof. (English) Zbl 0661.58019 IEEE Trans. Circuits Syst. 35, No. 7, 909-925 (1988). MSC: 37D45 37G99 58-04 PDF BibTeX XML Cite \textit{T. Matsumoto} et al., IEEE Trans. Circuits Syst. 35, No. 7, 909--925 (1988; Zbl 0661.58019) Full Text: DOI OpenURL
Lozi, René; Ushiki, Shigehiro Organized confinors and anti-confinors and their bifurcations in constrained “Lorenz system”. (English) Zbl 0654.58027 Ann. Télécommun. 43, No. 3-4, 187-208 (1988). Reviewer: J.Sun MSC: 37G99 PDF BibTeX XML Cite \textit{R. Lozi} and \textit{S. Ushiki}, Ann. Télécommun. 43, No. 3--4, 187--208 (1988; Zbl 0654.58027) OpenURL
Chua, Léon O. A rigorous proof of the existence of chaos in double scroll. (Une preuve rigoureuse de l’existence du chaos dans le double enroulement.) (French) Zbl 0646.94020 Ann. Télécommun. 42, 239-246 (1987). Reviewer: Adrian A. Adăscălitei (Iaşi) MSC: 94C05 37D45 37G99 PDF BibTeX XML Cite \textit{L. O. Chua}, Ann. Télécommun. 42, 239--246 (1987; Zbl 0646.94020) OpenURL
Gomatam, Jagannathan; Grindrod, Peter Three-dimensional waves in excitable reaction-diffusion systems. (English) Zbl 0646.92002 J. Math. Biol. 25, 611-622 (1987). Reviewer: R.Sperb MSC: 92B05 35K57 35B35 35B40 PDF BibTeX XML Cite \textit{J. Gomatam} and \textit{P. Grindrod}, J. Math. Biol. 25, 611--622 (1987; Zbl 0646.92002) Full Text: DOI OpenURL
Parker, Thomas S.; Chua, Leon O. The dual double scroll equation. (English) Zbl 0641.58030 IEEE Trans. Circuits Syst. 34, 1059-1073 (1987). MSC: 37D99 37J99 PDF BibTeX XML Cite \textit{T. S. Parker} and \textit{L. O. Chua}, IEEE Trans. Circuits Syst. 34, 1059--1073 (1987; Zbl 0641.58030) Full Text: DOI OpenURL
Ogorzałek, Maciej J. Chaotic regions from double scroll. (English) Zbl 0632.94016 IEEE Trans. Circuits Syst. 34, 201-203 (1987). MSC: 94C05 34D99 PDF BibTeX XML Cite \textit{M. J. Ogorzałek}, IEEE Trans. Circuits Syst. 34, 201--203 (1987; Zbl 0632.94016) Full Text: DOI OpenURL
Yang, Lin; Liao, Youlin Self-similar bifurcation structures from Chua’s circuit. (English) Zbl 0631.94018 Int. J. Circuit Theory Appl. 15, 189-192 (1987). MSC: 94C05 37G99 PDF BibTeX XML Cite \textit{L. Yang} and \textit{Y. Liao}, Int. J. Circuit Theory Appl. 15, 189--192 (1987; Zbl 0631.94018) Full Text: DOI OpenURL
Matsumoto, T.; Chua, L. O.; Komuro, M. Birth and death of the double scroll. (English) Zbl 0631.58017 Physica D 24, 97-124 (1987). Reviewer: St.Andersson MSC: 37D45 37G99 58-04 PDF BibTeX XML Cite \textit{T. Matsumoto} et al., Physica D 24, 97--124 (1987; Zbl 0631.58017) Full Text: DOI OpenURL
Kahlert, Claus; Chua, Leon O. Transfer maps and return maps for piecewise-linear three-region dynamical systems. (English) Zbl 0617.34040 Int. J. Circuit Theory Appl. 15, 23-49 (1987). Reviewer: M.Witten MSC: 37-XX 94C05 PDF BibTeX XML Cite \textit{C. Kahlert} and \textit{L. O. Chua}, Int. J. Circuit Theory Appl. 15, 23--49 (1987; Zbl 0617.34040) Full Text: DOI OpenURL
Komuro, M.; Matsumoto, T.; Chua, L. O. Poincaré maps of the double scroll. (English) Zbl 0625.58013 Dynamical systems and nonlinear oscillations, Proc. Symp., Kyoto/Jap. 1985, RIMS Kokyuroku 574, 126-134 (1985). MSC: 37G99 PDF BibTeX XML OpenURL
Komuro, M.; Matsumoto, T.; Chua, L. O. Poincaré maps of the double scroll. (English) Zbl 0616.58037 Dynamical systems and nonlinear oscillations, Proc. Symp., Kyoto/Jap. 1985, RIMS Kokyuroku 574, 126-134 (1985). Reviewer: R.Devaney MSC: 37G99 58C25 37C70 PDF BibTeX XML OpenURL