Bartłomiejczyk, Piotr; Llovera Trujillo, Frank; Signerska-Rynkowska, Justyna Spike patterns and chaos in a map-based neuron model. (English) Zbl 07764771 Int. J. Appl. Math. Comput. Sci. 33, No. 3, 395-408 (2023). MSC: 92C20 39A33 PDFBibTeX XMLCite \textit{P. Bartłomiejczyk} et al., Int. J. Appl. Math. Comput. Sci. 33, No. 3, 395--408 (2023; Zbl 07764771) Full Text: DOI OA License
Nijholt, Eddie; Pereira, Tiago; Queiroz, Fernando C.; Turaev, Dmitry Chaotic behavior in diffusively coupled systems. (English) Zbl 1521.34045 Commun. Math. Phys. 401, No. 3, 2715-2756 (2023). MSC: 34C28 34C45 92B20 05C90 34C23 34D20 37C45 PDFBibTeX XMLCite \textit{E. Nijholt} et al., Commun. Math. Phys. 401, No. 3, 2715--2756 (2023; Zbl 1521.34045) Full Text: DOI arXiv
Fredes, Luis; Linker, Amitai; Remenik, Daniel Coexistence for a population model with forest fire epidemics. (English) Zbl 1514.37107 Ann. Appl. Probab. 32, No. 5, 4004-4037 (2022). Reviewer: Ábel Garab (Klagenfurt) MSC: 37N25 37E25 05C80 60K35 92D25 PDFBibTeX XMLCite \textit{L. Fredes} et al., Ann. Appl. Probab. 32, No. 5, 4004--4037 (2022; Zbl 1514.37107) Full Text: DOI arXiv
Achouri, Houssem; Aouiti, Chaouki Dynamical behavior of recurrent neural networks with different external inputs. (English) Zbl 1487.34058 Int. J. Biomath. 15, No. 4, Article ID 2250010, 40 p. (2022). MSC: 34A37 34C28 34C37 92B20 PDFBibTeX XMLCite \textit{H. Achouri} and \textit{C. Aouiti}, Int. J. Biomath. 15, No. 4, Article ID 2250010, 40 p. (2022; Zbl 1487.34058) Full Text: DOI
Drubi, Fátima; Ibáñez, Santiago; Pilarczyk, Paweł Nilpotent singularities and chaos: tritrophic food chains. (English) Zbl 1496.92089 Chaos Solitons Fractals 142, Article ID 110406, 11 p. (2021). MSC: 92D25 37D45 37N25 58K45 92D40 PDFBibTeX XMLCite \textit{F. Drubi} et al., Chaos Solitons Fractals 142, Article ID 110406, 11 p. (2021; Zbl 1496.92089) Full Text: DOI
He, Mengqi; Tang, Sanyi; Tang, Guangyao; Xiang, Changcheng Bifurcation analysis of an ecological system with state-dependent feedback control and periodic forcing. (English) Zbl 1484.34116 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 15, Article ID 2150227, 16 p. (2021). MSC: 34C60 92D45 70K40 37C60 34A37 34C23 34C25 34D45 93B52 34D20 34C28 PDFBibTeX XMLCite \textit{M. He} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 15, Article ID 2150227, 16 p. (2021; Zbl 1484.34116) Full Text: DOI
Bibik, Yu. V. Analytical investigation of the chaotic dynamics of a two-dimensional Lotka-Volterra system with a seasonality factor. (English. Russian original) Zbl 1465.37101 Comput. Math. Math. Phys. 61, No. 2, 226-241 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 2, 239-255 (2021). MSC: 37N25 70K30 70K55 92D25 PDFBibTeX XMLCite \textit{Yu. V. Bibik}, Comput. Math. Math. Phys. 61, No. 2, 226--241 (2021; Zbl 1465.37101); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 2, 239--255 (2021) Full Text: DOI
Jiménez López, Víctor; Liz, Eduardo Destabilization and chaos induced by harvesting: insights from one-dimensional discrete-time models. (English) Zbl 1457.92141 J. Math. Biol. 82, No. 1-2, Paper No. 3, 28 p. (2021). MSC: 92D25 91B76 37N25 39A30 39A33 PDFBibTeX XMLCite \textit{V. Jiménez López} and \textit{E. Liz}, J. Math. Biol. 82, No. 1--2, Paper No. 3, 28 p. (2021; Zbl 1457.92141) Full Text: DOI
Carvalho, Tiago; Novaes, Douglas Duarte; Gonçalves, Luiz Fernando Sliding Shilnikov connection in Filippov-type predator-prey model. (English) Zbl 1516.92079 Nonlinear Dyn. 100, No. 3, 2973-2987 (2020). MSC: 92D25 37N25 37D45 PDFBibTeX XMLCite \textit{T. Carvalho} et al., Nonlinear Dyn. 100, No. 3, 2973--2987 (2020; Zbl 1516.92079) Full Text: DOI arXiv
Rao, Xiao-Bo; Zhao, Xu-Ping; Chu, Yan-Dong; Zhang, Jian-Gang; Gao, Jian-She The analysis of mode-locking topology in an SIR epidemic dynamics model with impulsive vaccination control: infinite cascade of Stern-Brocot sum trees. (English) Zbl 1490.92113 Chaos Solitons Fractals 139, Article ID 110031, 8 p. (2020). MSC: 92D30 37N25 PDFBibTeX XMLCite \textit{X.-B. Rao} et al., Chaos Solitons Fractals 139, Article ID 110031, 8 p. (2020; Zbl 1490.92113) Full Text: DOI
Barrio, Roberto; Ibáñez, Santiago; Pérez, Lucía Homoclinic organization in the Hindmarsh-rose model: a three parameter study. (English) Zbl 1437.92021 Chaos 30, No. 5, 053132, 20 p. (2020). MSC: 92C20 34C60 PDFBibTeX XMLCite \textit{R. Barrio} et al., Chaos 30, No. 5, 053132, 20 p. (2020; Zbl 1437.92021) Full Text: DOI
Granados, Albert; Huguet, Gemma Gluing and grazing bifurcations in periodically forced 2-dimensional integrate-and-fire models. (English) Zbl 1464.92054 Commun. Nonlinear Sci. Numer. Simul. 70, 48-73 (2019). MSC: 92C20 37C25 PDFBibTeX XMLCite \textit{A. Granados} and \textit{G. Huguet}, Commun. Nonlinear Sci. Numer. Simul. 70, 48--73 (2019; Zbl 1464.92054) Full Text: DOI arXiv
Zhan, Feibiao; Liu, Shenquan A Hénon-like map inspired by the generalized discrete-time Fitzhugh-Nagumo model. (English) Zbl 1430.37044 Nonlinear Dyn. 97, No. 4, 2675-2691 (2019). MSC: 37D45 92C20 92B20 PDFBibTeX XMLCite \textit{F. Zhan} and \textit{S. Liu}, Nonlinear Dyn. 97, No. 4, 2675--2691 (2019; Zbl 1430.37044) Full Text: DOI
Cessac, Bruno Linear response in neuronal networks: from neurons dynamics to collective response. (English) Zbl 1425.92039 Chaos 29, No. 10, 103105, 24 p. (2019). MSC: 92C20 37N25 PDFBibTeX XMLCite \textit{B. Cessac}, Chaos 29, No. 10, 103105, 24 p. (2019; Zbl 1425.92039) Full Text: DOI arXiv
Bailey, M. P.; Derks, G.; Skeldon, A. C. Circle maps with gaps: understanding the dynamics of the two-process model for sleep-wake regulation. (English) Zbl 1411.37043 Eur. J. Appl. Math. 29, No. 5, 845-868 (2018). Reviewer: A. P. Sadovskii (Minsk) MSC: 37E10 92B25 37G15 37E05 37N25 PDFBibTeX XMLCite \textit{M. P. Bailey} et al., Eur. J. Appl. Math. 29, No. 5, 845--868 (2018; Zbl 1411.37043) Full Text: DOI
Rodrigues, Alexandre A. P. Attractors in complex networks. (English) Zbl 1388.37081 Chaos 27, No. 10, 103105, 10 p. (2017). MSC: 37N25 37G35 37D45 92D25 PDFBibTeX XMLCite \textit{A. A. P. Rodrigues}, Chaos 27, No. 10, 103105, 10 p. (2017; Zbl 1388.37081) Full Text: DOI arXiv
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations. (English) Zbl 1375.34075 Discrete Contin. Dyn. Syst., Ser. B 22, No. 10, 4003-4039 (2017). MSC: 34C60 37E45 92C20 34C05 34C26 PDFBibTeX XMLCite \textit{J. E. Rubin} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 10, 4003--4039 (2017; Zbl 1375.34075) Full Text: DOI arXiv
Vaidyanathan, Sundarapandian A novel 2-D chaotic enzymes-substrates reaction system and its adaptive backstepping control. (English) Zbl 1359.93241 Azar, Ahmad Taher (ed.) et al., Advances in chaos theory and intelligent control. Cham: Springer (ISBN 978-3-319-30338-3/hbk; 978-3-319-30340-6/ebook). Studies in Fuzziness and Soft Computing 337, 507-528 (2016). MSC: 93C40 34C28 34H10 92C45 PDFBibTeX XMLCite \textit{S. Vaidyanathan}, Stud. Fuzziness Soft Comput. 337, 507--528 (2016; Zbl 1359.93241) Full Text: DOI
Korotkov, Alexander G.; Kazakov, Alexey O.; Osipov, Grigory V. Sequential dynamics in the motif of excitatory coupled elements. (English) Zbl 1344.37094 Regul. Chaotic Dyn. 20, No. 6, 701-715 (2015). MSC: 37N25 92B20 37D45 34C28 34C60 PDFBibTeX XMLCite \textit{A. G. Korotkov} et al., Regul. Chaotic Dyn. 20, No. 6, 701--715 (2015; Zbl 1344.37094) Full Text: DOI
Chikayama, Eisuke; Sunaga, Yasuhiro; Noda, Shigeho; Yokota, Hideo Solvable model for chemical oscillations. (English) Zbl 1291.80011 J. Math. Chem. 52, No. 2, 399-406 (2014). MSC: 80A30 92E20 PDFBibTeX XMLCite \textit{E. Chikayama} et al., J. Math. Chem. 52, No. 2, 399--406 (2014; Zbl 1291.80011) Full Text: DOI
Letellier, Christophe; Denis, F.; Aguirre, L. A. What can be learned from a chaotic cancer model? (English) Zbl 1406.92313 J. Theor. Biol. 322, 7-16 (2013). MSC: 92C50 37D45 92D25 93B05 PDFBibTeX XMLCite \textit{C. Letellier} et al., J. Theor. Biol. 322, 7--16 (2013; Zbl 1406.92313) Full Text: DOI
Baesens, C.; MacKay, R. S. Analysis of a scenario for chaotic quantal slowing down of inspiration. (English) Zbl 1291.92020 J. Math. Neurosci. 3, Paper No. 18, 17 p. (2013). MSC: 92C20 37N25 PDFBibTeX XMLCite \textit{C. Baesens} and \textit{R. S. MacKay}, J. Math. Neurosci. 3, Paper No. 18, 17 p. (2013; Zbl 1291.92020) Full Text: DOI
Catsigeras, Eleonora; Guiraud, Pierre Integrate and fire neural networks, piecewise contractive maps and limit cycles. (English) Zbl 1297.37042 J. Math. Biol. 67, No. 3, 609-655 (2013). Reviewer: Carlo Laing (Auckland) MSC: 37N25 92B20 34C15 34D06 PDFBibTeX XMLCite \textit{E. Catsigeras} and \textit{P. Guiraud}, J. Math. Biol. 67, No. 3, 609--655 (2013; Zbl 1297.37042) Full Text: DOI arXiv Link
Cessac, B. A view of neural networks as dynamical systems. (English) Zbl 1193.37131 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 6, 1585-1629 (2010). MSC: 37N25 92B20 37D45 PDFBibTeX XMLCite \textit{B. Cessac}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 6, 1585--1629 (2010; Zbl 1193.37131) Full Text: DOI arXiv
Wang, Ruiping; Xiao, Dongmei Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka-Volterra system. (English) Zbl 1183.92086 Nonlinear Dyn. 59, No. 3, 411-422 (2010). MSC: 92D40 37D45 37N25 PDFBibTeX XMLCite \textit{R. Wang} and \textit{D. Xiao}, Nonlinear Dyn. 59, No. 3, 411--422 (2010; Zbl 1183.92086) Full Text: DOI
Xiang, Zhongyi; Song, Xinyu The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response. (English) Zbl 1197.34012 Chaos Solitons Fractals 39, No. 5, 2282-2293 (2009). MSC: 34A37 92D40 34C11 34D05 PDFBibTeX XMLCite \textit{Z. Xiang} and \textit{X. Song}, Chaos Solitons Fractals 39, No. 5, 2282--2293 (2009; Zbl 1197.34012) Full Text: DOI
Wang, Jiang; Lu, Meili; Li, Huiyan Synchronization of coupled equations of Morris-Lecar model. (English) Zbl 1221.37200 Commun. Nonlinear Sci. Numer. Simul. 13, No. 6, 1169-1179 (2008). MSC: 37N25 34D45 92E20 PDFBibTeX XMLCite \textit{J. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 6, 1169--1179 (2008; Zbl 1221.37200) Full Text: DOI
Epstein, Irving R.; Berenstein, Igal B.; Dolnik, Milos; Vanag, Vladimir K.; Yang, Lingfa; Zhabotinsky, Anatol M. Coupled and forced patterns in reaction-diffusion systems. (English) Zbl 1152.35405 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1864, 397-408 (2008). MSC: 35K57 37N25 92E20 PDFBibTeX XMLCite \textit{I. R. Epstein} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1864, 397--408 (2008; Zbl 1152.35405) Full Text: DOI
Coutinho, R.; Fernandez, B.; Lima, R.; Meyroneinc, A. Discrete time piecewise affine models of genetic regulatory networks. (English) Zbl 1094.92026 J. Math. Biol. 52, No. 4, 524-570 (2006). MSC: 92C40 37N25 37B10 PDFBibTeX XMLCite \textit{R. Coutinho} et al., J. Math. Biol. 52, No. 4, 524--570 (2006; Zbl 1094.92026) Full Text: DOI arXiv
Hui, Jing; Chen, Lansun Dynamic complexities in a periodically pulsed ratio-dependent predator–prey ecosystem modeled on a chemostat. (English) Zbl 1095.92066 Chaos Solitons Fractals 29, No. 2, 407-416 (2006). MSC: 92D40 37D45 34C60 37N25 34A37 PDFBibTeX XMLCite \textit{J. Hui} and \textit{L. Chen}, Chaos Solitons Fractals 29, No. 2, 407--416 (2006; Zbl 1095.92066) Full Text: DOI
Pécou, Elisabeth Splitting the dynamics of large biochemical interaction networks. (English) Zbl 1442.92060 J. Theor. Biol. 232, No. 3, 375-384 (2005). MSC: 92C42 34D06 92C45 93C40 PDFBibTeX XMLCite \textit{E. Pécou}, J. Theor. Biol. 232, No. 3, 375--384 (2005; Zbl 1442.92060) Full Text: DOI
Vilela Mendes, R. Tools for network dynamics. (English) Zbl 1089.37017 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 4, 1185-1213 (2005). MSC: 37C10 37N25 92B20 37C40 34D20 34C28 PDFBibTeX XMLCite \textit{R. Vilela Mendes}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 4, 1185--1213 (2005; Zbl 1089.37017) Full Text: DOI arXiv
Lacitignola, Deborah; Tebaldi, Claudio Symmetry breaking effects on equilibria and time dependent regimes in adaptive Lotka-Volterra systems. (English) Zbl 1070.34071 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 2, 375-392 (2003). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 92D25 34C05 34C23 34C25 34C28 34D20 34D05 PDFBibTeX XMLCite \textit{D. Lacitignola} and \textit{C. Tebaldi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 2, 375--392 (2003; Zbl 1070.34071) Full Text: DOI
Letellier, Christophe; Aziz-Alaoui, M. A. Analysis of the dynamics of a realistic ecological model. (English) Zbl 0977.92029 Chaos Solitons Fractals 13, No. 1, 95-107 (2002). MSC: 92D40 37N25 PDFBibTeX XMLCite \textit{C. Letellier} and \textit{M. A. Aziz-Alaoui}, Chaos Solitons Fractals 13, No. 1, 95--107 (2002; Zbl 0977.92029) Full Text: DOI
Kooi, B. W.; Boer, M. P. Bifurcations in ecosystem models and their biological interpretation. (English) Zbl 1068.92506 Appl. Anal. 77, No. 1-2, 29-59 (2001). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{B. W. Kooi} and \textit{M. P. Boer}, Appl. Anal. 77, No. 1--2, 29--59 (2001; Zbl 1068.92506) Full Text: DOI
Wang, Yi; Jiang, Jifa The general properties of dicrete-time competitive dynamical systems. (English) Zbl 1011.37054 J. Differ. Equations 176, No. 2, 470-493 (2001). MSC: 37N25 37C20 92D25 39A12 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. Jiang}, J. Differ. Equations 176, No. 2, 470--493 (2001; Zbl 1011.37054) Full Text: DOI
Ashwin, P.; Melbourne, I.; Nicol, M. Hypermeander of spirals: local bifurcations and statistical properties. (English) Zbl 1049.92001 Physica D 156, No. 3-4, 364-382 (2001). MSC: 92B05 37N25 PDFBibTeX XMLCite \textit{P. Ashwin} et al., Physica D 156, No. 3--4, 364--382 (2001; Zbl 1049.92001) Full Text: DOI
Kooi, B. W.; Boer, M. P. Bifurcations in ecosystem models and their biological interpretation. (English) Zbl 1014.92042 Appl. Anal. 77, No. 1-2, 29-59 (2001). MSC: 92D40 34C60 37N25 34C05 34C23 PDFBibTeX XMLCite \textit{B. W. Kooi} and \textit{M. P. Boer}, Appl. Anal. 77, No. 1--2, 29--59 (2001; Zbl 1014.92042) Full Text: DOI
Boer, M. P.; Kooi, B. W.; Kooijman, S. A. L. M. Multiple attractors and boundary crises in a tri-trophic food chain. (English) Zbl 0981.92032 Math. Biosci. 169, No. 2, 109-128 (2001). MSC: 92D40 37N25 37G15 34C23 PDFBibTeX XMLCite \textit{M. P. Boer} et al., Math. Biosci. 169, No. 2, 109--128 (2001; Zbl 0981.92032) Full Text: DOI
Boer, M. P.; Kooi, B. W.; Kooijman, S. A. L. M. Food chain dynamics in the chemostat. (English) Zbl 0938.92029 Math. Biosci. 150, No. 1, 43-62 (1998). MSC: 92D40 37N25 34C05 34C23 PDFBibTeX XMLCite \textit{M. P. Boer} et al., Math. Biosci. 150, No. 1, 43--62 (1998; Zbl 0938.92029) Full Text: DOI
Happel, Robert; Hecht, Robert; Stadler, Peter F. Autocatalytic networks with translation. (English) Zbl 0882.92012 Bull. Math. Biol. 58, No. 5, 877-905 (1996). MSC: 92C45 92E20 34C05 34D15 PDFBibTeX XMLCite \textit{R. Happel} et al., Bull. Math. Biol. 58, No. 5, 877--905 (1996; Zbl 0882.92012) Full Text: DOI
Borisyuk, Galina N.; Borisyuk, Roman M.; Khibnik, Alexander I.; Roose, Dirk Dynamics and bifurcations of two coupled neural oscillators with different connection types. (English) Zbl 0836.92004 Bull. Math. Biol. 57, No. 6, 809-840 (1995). MSC: 92C20 34C05 PDFBibTeX XMLCite \textit{G. N. Borisyuk} et al., Bull. Math. Biol. 57, No. 6, 809--840 (1995; Zbl 0836.92004) Full Text: DOI
Tracqui, P. Mixed-mode oscillation genealogy in a compartmental model of bone mineral metabolism. (English) Zbl 0788.92005 J. Nonlinear Sci. 4, No. 1, 69-103 (1994). MSC: 92C30 37N99 34C05 PDFBibTeX XMLCite \textit{P. Tracqui}, J. Nonlinear Sci. 4, No. 1, 69--103 (1994; Zbl 0788.92005) Full Text: DOI
Zeeman, M. L. Hopf bifurcations in competitive three-dimensional Lotka-Volterra systems. (English) Zbl 0797.92025 Dyn. Stab. Syst. 8, No. 3, 189-217 (1993). Reviewer: I. G. Rozet (Samarkand) MSC: 92D25 34C05 37N99 34C25 34C23 PDFBibTeX XMLCite \textit{M. L. Zeeman}, Dyn. Stab. Syst. 8, No. 3, 189--217 (1993; Zbl 0797.92025) Full Text: DOI
Gouzé, Jean-Luc Global behavior of \(n\)-dimensional Lotka-Volterra systems. (English) Zbl 0782.92021 Math. Biosci. 113, No. 2, 231-243 (1993). Reviewer: M.Lizana (Merida) MSC: 92D40 34C05 92D25 PDFBibTeX XMLCite \textit{J.-L. Gouzé}, Math. Biosci. 113, No. 2, 231--243 (1993; Zbl 0782.92021) Full Text: DOI
Sabin, Gary C. W.; Summers, Danny Chaos in a periodically forced predator-prey ecosystem model. (English) Zbl 0767.92028 Math. Biosci. 113, No. 1, 91-113 (1993). MSC: 92D40 37D45 92-08 PDFBibTeX XMLCite \textit{G. C. W. Sabin} and \textit{D. Summers}, Math. Biosci. 113, No. 1, 91--113 (1993; Zbl 0767.92028) Full Text: DOI
Pavlou, S.; Kevrekidis, I. G. Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies. (English) Zbl 0729.92522 Math. Biosci. 108, No. 1, 1-55 (1992). MSC: 92D40 PDFBibTeX XMLCite \textit{S. Pavlou} and \textit{I. G. Kevrekidis}, Math. Biosci. 108, No. 1, 1--55 (1992; Zbl 0729.92522) Full Text: DOI
Siegel, Ralph M.; Tresser, Charles; Zettler, George A decoding problem in dynamics and in number theory. (English) Zbl 1055.37557 Chaos 2, No. 4, 473-493 (1992). MSC: 37E10 37E45 11T71 37B05 92C30 11A99 PDFBibTeX XMLCite \textit{R. M. Siegel} et al., Chaos 2, No. 4, 473--493 (1992; Zbl 1055.37557) Full Text: DOI
Vance, William N.; Ross, John Bifurcation structures of periodically forced oscillators. (English) Zbl 0900.92181 Chaos 1, No. 4, 445-453 (1991). MSC: 92E99 37N99 PDFBibTeX XMLCite \textit{W. N. Vance} and \textit{J. Ross}, Chaos 1, No. 4, 445--453 (1991; Zbl 0900.92181) Full Text: DOI
Glass, Leon Cardiac arrythmias and circle maps – a classical problem. (English) Zbl 0900.92093 Chaos 1, No. 1, 13-19 (1991). MSC: 92C50 92C30 37N99 PDFBibTeX XMLCite \textit{L. Glass}, Chaos 1, No. 1, 13--19 (1991; Zbl 0900.92093) Full Text: DOI
Hofbauer, J.; Sigmund, K. On the stabilizing effect of predators and competitors on ecological communities. (English) Zbl 0716.92024 J. Math. Biol. 27, No. 5, 537-548 (1989). MSC: 92D40 34C99 37N99 37C75 PDFBibTeX XMLCite \textit{J. Hofbauer} and \textit{K. Sigmund}, J. Math. Biol. 27, No. 5, 537--548 (1989; Zbl 0716.92024) Full Text: DOI
Gardini, L.; Lupini, R.; Messia, M. G. Hopf bifurcation and transition to chaos in Lotka-Volterra equation. (English) Zbl 0715.92020 J. Math. Biol. 27, No. 3, 259-272 (1989). MSC: 92D25 37G99 37D45 PDFBibTeX XMLCite \textit{L. Gardini} et al., J. Math. Biol. 27, No. 3, 259--272 (1989; Zbl 0715.92020) Full Text: DOI
Kirlinger, Gabriela Permanence of some ecological systems with several predator and one prey species. (English) Zbl 0713.92025 J. Math. Biol. 26, No. 2, 217-232 (1988). MSC: 92D40 34D99 34D10 PDFBibTeX XMLCite \textit{G. Kirlinger}, J. Math. Biol. 26, No. 2, 217--232 (1988; Zbl 0713.92025) Full Text: DOI
Tang, Baorong Global analysis of a class of cooperative systems. (English) Zbl 0699.92021 Acta Math. Sin., New Ser. 4, No. 2, 143-154 (1988). Reviewer: S.Mirica MSC: 92D25 34C05 37-XX 34C11 92D40 PDFBibTeX XMLCite \textit{B. Tang}, Acta Math. Sin., New Ser. 4, No. 2, 143--154 (1988; Zbl 0699.92021) Full Text: DOI
Cosnard, Michel; Goles Chacc, Eric; Moumida, Driss Bifurcation structure of a discrete neuronal equation. (English) Zbl 0683.68047 Discrete Appl. Math. 21, No. 1, 21-34 (1988). Reviewer: P.Lieardet MSC: 68Q45 92B05 92-04 PDFBibTeX XMLCite \textit{M. Cosnard} et al., Discrete Appl. Math. 21, No. 1, 21--34 (1988; Zbl 0683.68047) Full Text: DOI
Samardzija, Nikola; Greller, Larry D. Explosive route to chaos through a fractal torus in a generalized Lotka- Volterra model. (English) Zbl 0668.92010 Bull. Math. Biol. 50, No. 5, 465-491 (1988). Reviewer: M.Farkas MSC: 92D25 37D45 37G99 PDFBibTeX XMLCite \textit{N. Samardzija} and \textit{L. D. Greller}, Bull. Math. Biol. 50, No. 5, 465--491 (1988; Zbl 0668.92010) Full Text: DOI
Schaffer, W. M.; Ellner, S.; Kot, M. Effects of noise on some dynamical models in ecology. (English) Zbl 0626.92021 J. Math. Biol. 24, 479-523 (1986). MSC: 92D40 60H99 39A10 37D45 37C10 PDFBibTeX XMLCite \textit{W. M. Schaffer} et al., J. Math. Biol. 24, 479--523 (1986; Zbl 0626.92021) Full Text: DOI
Kloeden, P. E.; Mees, A. I. Chaotic phenomena. (English) Zbl 0586.92002 Bull. Math. Biol. 47, 697-738 (1985). Reviewer: M.Baake MSC: 92B05 39Axx 37D45 34D99 35B99 PDFBibTeX XMLCite \textit{P. E. Kloeden} and \textit{A. I. Mees}, Bull. Math. Biol. 47, 697--738 (1985; Zbl 0586.92002) Full Text: DOI
Freedman, H. I.; Waltman, Paul Persistence in a model of three competitive populations. (English) Zbl 0584.92018 Math. Biosci. 73, 89-101 (1985). Reviewer: W.Nöbauer MSC: 92D25 PDFBibTeX XMLCite \textit{H. I. Freedman} and \textit{P. Waltman}, Math. Biosci. 73, 89--101 (1985; Zbl 0584.92018) Full Text: DOI
Hutson, V.; Law, R. Permanent coexistence in general models of three interacting species. (English) Zbl 0579.92023 J. Math. Biol. 21, 285-298 (1985). Reviewer: G.Karakostas MSC: 92D25 34C05 PDFBibTeX XMLCite \textit{V. Hutson} and \textit{R. Law}, J. Math. Biol. 21, 285--298 (1985; Zbl 0579.92023) Full Text: DOI
Kishimoto, K.; Mimura, M.; Yoshida, K. Stable spatio-temporal oscillations of diffusive Lotka-Volterra system with three or more species. (English) Zbl 0521.92018 J. Math. Biol. 18, 213-221 (1983). MSC: 92D25 35B35 35B32 35K20 PDFBibTeX XMLCite \textit{K. Kishimoto} et al., J. Math. Biol. 18, 213--221 (1983; Zbl 0521.92018) Full Text: DOI
Arneodo, A.; Coullet, Pierre; Peyraud, J.; Tresser, Charles Strange attractors in Volterra equations for species in competition. (English) Zbl 0489.92017 J. Math. Biol. 14, 153-157 (1982). MSC: 92D25 65L99 54H20 92D40 65C20 34C05 37-XX PDFBibTeX XMLCite \textit{A. Arneodo} et al., J. Math. Biol. 14, 153--157 (1982; Zbl 0489.92017) Full Text: DOI