Athanasouli, Christina; Kalmbach, Kelsey; Booth, Victoria; Diniz Behn, Cecilia G. NREM-REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep-wake regulation. (English) Zbl 1506.92006 Math. Biosci. 355, Article ID 108929, 19 p. (2023). MSC: 92B25 PDFBibTeX XMLCite \textit{C. Athanasouli} et al., Math. Biosci. 355, Article ID 108929, 19 p. (2023; Zbl 1506.92006) Full Text: DOI
Breda, Dimitri Pseudospectral methods for the stability analysis of delay equations. I: The infinitesimal generator approach. (English) Zbl 1502.93009 Breda, Dimitri (ed.), Controlling delayed dynamics. Advances in theory, methods and applications. Cham: Springer. CISM Courses Lect. 604, 65-94 (2023). MSC: 93D05 93C23 PDFBibTeX XMLCite \textit{D. Breda}, CISM Courses Lect. 604, 65--94 (2023; Zbl 1502.93009) Full Text: DOI
Henao, Marduck M.; Cristiano, Rony; Pagano, Daniel J. Bifurcation analysis of 3D-PWS systems with two transversal switching boundaries: a case study in power electronics. (English) Zbl 1509.37131 Physica D 442, Article ID 133505, 16 p. (2022). MSC: 37N35 94C05 94C60 PDFBibTeX XMLCite \textit{M. M. Henao} et al., Physica D 442, Article ID 133505, 16 p. (2022; Zbl 1509.37131) Full Text: DOI
Xing, Miaomiao; Song, Xinlin; Wang, Hengtong; Yang, Zhuoqin; Chen, Yong Frequency synchronization and excitabilities of two coupled heterogeneous Morris-Lecar neurons. (English) Zbl 1498.92045 Chaos Solitons Fractals 157, Article ID 111959, 8 p. (2022). MSC: 92C20 37N25 PDFBibTeX XMLCite \textit{M. Xing} et al., Chaos Solitons Fractals 157, Article ID 111959, 8 p. (2022; Zbl 1498.92045) Full Text: DOI
Luangwilai, T.; Sidhu, H. S.; Nelson, M. I. Inclusion of biological and chemical self-heating processes in compost piles model: a Semenov formulation. (English) Zbl 1498.80010 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 11, Article ID 2230027, 21 p. (2022). MSC: 80A25 80A32 92C40 37G15 PDFBibTeX XMLCite \textit{T. Luangwilai} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 11, Article ID 2230027, 21 p. (2022; Zbl 1498.80010) Full Text: DOI
Revilla, Tomás A.; Křivan, Vlastimil Prey-predator dynamics with adaptive protection mutualism. (English) Zbl 1510.92182 Appl. Math. Comput. 433, Article ID 127368, 18 p. (2022). MSC: 92D25 PDFBibTeX XMLCite \textit{T. A. Revilla} and \textit{V. Křivan}, Appl. Math. Comput. 433, Article ID 127368, 18 p. (2022; Zbl 1510.92182) Full Text: DOI
Madeira, João Luiz de Oliveira; Antoneli, Fernando Homeostasis in networks with multiple input nodes and robustness in bacterial chemotaxis. (English) Zbl 1496.37094 J. Nonlinear Sci. 32, No. 3, Paper No. 37, 53 p. (2022). MSC: 37N25 92C17 92B25 92D30 PDFBibTeX XMLCite \textit{J. L. de O. Madeira} and \textit{F. Antoneli}, J. Nonlinear Sci. 32, No. 3, Paper No. 37, 53 p. (2022; Zbl 1496.37094) Full Text: DOI arXiv
Astakhov, Sergey; Astakhov, Oleg; Fadeeva, Natalia; Astakhov, Vladimir Multistability, quasiperiodicity and chaos in a self-oscillating ring dynamical system with three degrees of freedom based on the van der Pol generator. (English) Zbl 1485.34132 Chaos Solitons Fractals 148, Article ID 110978, 8 p. (2021). MSC: 34C60 34C28 34C23 PDFBibTeX XMLCite \textit{S. Astakhov} et al., Chaos Solitons Fractals 148, Article ID 110978, 8 p. (2021; Zbl 1485.34132) Full Text: DOI
Kraikivski, Pavel Computational software. (English) Zbl 1478.92005 Kraikivski, Pavel (ed.), Case studies in systems biology. Cham: Springer. 271-297 (2021). MSC: 92-04 PDFBibTeX XMLCite \textit{P. Kraikivski}, in: Case studies in systems biology. Cham: Springer. 271--297 (2021; Zbl 1478.92005) Full Text: DOI
Kraikivski, Pavel Synchronization of oscillatory gene networks. (English) Zbl 1480.92023 Kraikivski, Pavel (ed.), Case studies in systems biology. Cham: Springer. 123-136 (2021). MSC: 92B25 92C42 92C40 92-04 PDFBibTeX XMLCite \textit{P. Kraikivski}, in: Case studies in systems biology. Cham: Springer. 123--136 (2021; Zbl 1480.92023) Full Text: DOI
Wang, Xianjun; Gu, Huaguang; Lu, Bo Big homoclinic orbit bifurcation underlying post-inhibitory rebound spike and a novel threshold curve of a neuron. (English) Zbl 1484.37054 Electron. Res. Arch. 29, No. 5, 2987-3015 (2021). MSC: 37G15 37N25 92B20 37C29 PDFBibTeX XMLCite \textit{X. Wang} et al., Electron. Res. Arch. 29, No. 5, 2987--3015 (2021; Zbl 1484.37054) Full Text: DOI
Wang, Yangyang; Gill, Jeffrey P.; Chiel, Hillel J.; Thomas, Peter J. Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation. (English) Zbl 1482.34047 SIAM J. Appl. Dyn. Syst. 20, No. 2, 701-744 (2021). Reviewer: Fabio Vito Difonzo (Bari) MSC: 34A36 34C05 34D10 34C15 34C07 58E25 49J52 PDFBibTeX XMLCite \textit{Y. Wang} et al., SIAM J. Appl. Dyn. Syst. 20, No. 2, 701--744 (2021; Zbl 1482.34047) Full Text: DOI arXiv
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena Rigorous verification of Hopf bifurcations via desingularization and continuation. (English) Zbl 1476.37094 SIAM J. Appl. Dyn. Syst. 20, No. 2, 573-607 (2021). MSC: 37M20 37G15 65P30 65G40 PDFBibTeX XMLCite \textit{J. B. van den Berg} et al., SIAM J. Appl. Dyn. Syst. 20, No. 2, 573--607 (2021; Zbl 1476.37094) Full Text: DOI arXiv
Baspinar, E.; Avitabile, D.; Desroches, M. Canonical models for torus canards in elliptic bursters. (English) Zbl 1480.37057 Chaos 31, No. 6, 063129, 15 p. (2021). Reviewer: Jianhe Shen (Fuzhou) MSC: 37G05 37G10 34E17 70K70 PDFBibTeX XMLCite \textit{E. Baspinar} et al., Chaos 31, No. 6, 063129, 15 p. (2021; Zbl 1480.37057) Full Text: DOI arXiv
Sadhu, Susmita Complex oscillatory patterns near singular Hopf bifurcation in a two-timescale ecosystem. (English) Zbl 1471.37080 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5251-5279 (2021). MSC: 37N25 37G35 34E17 92D25 92D40 PDFBibTeX XMLCite \textit{S. Sadhu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5251--5279 (2021; Zbl 1471.37080) Full Text: DOI arXiv
Su, Rina; Zhang, Chunrui Hopf-zero bifurcation of the ring unidirectionally coupled Toda oscillators with delay. (English) Zbl 1470.34189 Nonlinear Anal., Model. Control 26, No. 3, 375-395 (2021). Reviewer: Changjin Xu (Guiyang) MSC: 34K18 34K13 34K17 34K19 PDFBibTeX XMLCite \textit{R. Su} and \textit{C. Zhang}, Nonlinear Anal., Model. Control 26, No. 3, 375--395 (2021; Zbl 1470.34189) Full Text: DOI
Chakraborty, Saumen; Dandapathak, Manaj; De Sarkar, Saumendra Sankar Effect of self feedback on mean-field coupled oscillators: revival and quenching of oscillations. (English) Zbl 1467.93108 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2150078, 15 p. (2021). MSC: 93B52 93C15 34C23 37G15 PDFBibTeX XMLCite \textit{S. Chakraborty} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2150078, 15 p. (2021; Zbl 1467.93108) Full Text: DOI
van den Berg, Jan Bouwe; Queirolo, Elena A general framework for validated continuation of periodic orbits in systems of polynomial ODEs. (English) Zbl 1469.37015 J. Comput. Dyn. 8, No. 1, 59-97 (2021). MSC: 37C27 37M21 34A12 65G40 PDFBibTeX XMLCite \textit{J. B. van den Berg} and \textit{E. Queirolo}, J. Comput. Dyn. 8, No. 1, 59--97 (2021; Zbl 1469.37015) Full Text: DOI
Sataev, I. R.; Stankevich, N. V. Cascade of torus birth bifurcations and inverse cascade of Shilnikov attractors merging at the threshold of hyperchaos. (English) Zbl 1458.34091 Chaos 31, No. 2, 023140, 8 p. (2021). MSC: 34C60 34C28 34C23 PDFBibTeX XMLCite \textit{I. R. Sataev} and \textit{N. V. Stankevich}, Chaos 31, No. 2, 023140, 8 p. (2021; Zbl 1458.34091) Full Text: DOI
Frank, Anna S.; Larripa, Kamila; Ryu, Hwayeon; Snodgrass, Ryan G.; Röblitz, Susanna Bifurcation and sensitivity analysis reveal key drivers of multistability in a model of macrophage polarization. (English) Zbl 1457.92050 J. Theor. Biol. 509, Article ID 110511, 16 p. (2021). MSC: 92C37 34C23 34D20 PDFBibTeX XMLCite \textit{A. S. Frank} et al., J. Theor. Biol. 509, Article ID 110511, 16 p. (2021; Zbl 1457.92050) Full Text: DOI
Akrami, M. H.; Atabaigi, A. Hopf and forward bifurcation of an integer and fractional-order SIR epidemic model with logistic growth of the susceptible individuals. (English) Zbl 1484.37102 J. Appl. Math. Comput. 64, No. 1-2, 615-633 (2020). MSC: 37N25 26A33 92D30 92D25 PDFBibTeX XMLCite \textit{M. H. Akrami} and \textit{A. Atabaigi}, J. Appl. Math. Comput. 64, No. 1--2, 615--633 (2020; Zbl 1484.37102) Full Text: DOI
Stankevich, N.; Kazakov, A.; Gonchenko, S. Scenarios of hyperchaos occurrence in 4D Rössler system. (English) Zbl 1451.34056 Chaos 30, No. 12, 123129, 16 p. (2020). MSC: 34C28 34C60 34C23 PDFBibTeX XMLCite \textit{N. Stankevich} et al., Chaos 30, No. 12, 123129, 16 p. (2020; Zbl 1451.34056) Full Text: DOI
Duan, Lixia; Liang, Wangjuan; Ji, Wenchao; Xi, Hongguang Bifurcation patterns of bursting within pre-Bötzinger complex and their control. (English) Zbl 1453.92055 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 13, Article ID 2050192, 12 p. (2020). MSC: 92C20 37G10 PDFBibTeX XMLCite \textit{L. Duan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 13, Article ID 2050192, 12 p. (2020; Zbl 1453.92055) Full Text: DOI
Abuthahir; Malangadan, Nizar; Raina, Gaurav Effect of two forms of feedback on the performance of the rate control protocol (RCP). (English) Zbl 1451.93119 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105225, 22 p. (2020). MSC: 93B52 93C23 93D05 93B70 34K18 PDFBibTeX XMLCite \textit{Abuthahir} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105225, 22 p. (2020; Zbl 1451.93119) Full Text: DOI arXiv
bi, Yuanhong; Liu, Quansheng; Wang, Lixin; Yang, Wuritu; Wu, Xinwei Bifurcation and potential landscape of p53 dynamics depending on PDCD5 level and ATM degradation rate. (English) Zbl 1451.37111 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050134, 10 p. (2020). MSC: 37N25 92C17 92C50 PDFBibTeX XMLCite \textit{Y. bi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050134, 10 p. (2020; Zbl 1451.37111) Full Text: DOI
Andò, Alessia; Breda, Dimitri Collocation techniques for structured populations modeled by delay equations. (English) Zbl 1447.37077 Aguiar, Maira (ed.) et al., Current trends in dynamical systems in biology and natural sciences. Selected contributions presented at the ninth international workshop of dynamical systems applied to biology and natural sciences, DSABNS, Turin, Italy, February 7–9, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 21, 43-62 (2020). Reviewer: Jason Polak (Montréal) MSC: 37N25 92D25 92B05 34K13 65L60 PDFBibTeX XMLCite \textit{A. Andò} and \textit{D. Breda}, SEMA SIMAI Springer Ser. 21, 43--62 (2020; Zbl 1447.37077) Full Text: DOI
Razvan, Mohammad Reza; Yasaman, Somaye Emergence of bursting in two coupled neurons of different types of excitability. (English) Zbl 1434.34044 Chaos Solitons Fractals 132, Article ID 109482, 12 p. (2020). MSC: 34C60 34D06 37G10 34C15 PDFBibTeX XMLCite \textit{M. R. Razvan} and \textit{S. Yasaman}, Chaos Solitons Fractals 132, Article ID 109482, 12 p. (2020; Zbl 1434.34044) Full Text: DOI
Monga, Bharat; Moehlis, Jeff Phase distribution control of a population of oscillators. (English) Zbl 1453.92059 Physica D 398, 115-129 (2019). MSC: 92C20 49N90 PDFBibTeX XMLCite \textit{B. Monga} and \textit{J. Moehlis}, Physica D 398, 115--129 (2019; Zbl 1453.92059) Full Text: DOI arXiv
Omaiye, Ojonubah James; Mohd, Mohd Hafiz Computational dynamical systems using XPPAUT. (English) Zbl 1447.34004 Mohd, Mohd Hafiz (ed.) et al., Dynamical systems, bifurcation analysis and applications. Collected papers of the SEAMS school 2018 on dynamical systems and bifurcation analysis, DySBA, Penang, Malaysia, August 6–13, 2018. Singapore: Springer. Springer Proc. Math. Stat. 295, 175-203 (2019). MSC: 34-04 37Mxx 34C23 37Gxx PDFBibTeX XMLCite \textit{O. J. Omaiye} and \textit{M. H. Mohd}, Springer Proc. Math. Stat. 295, 175--203 (2019; Zbl 1447.34004) Full Text: DOI
Mohd, Mohd Hafiz Numerical bifurcation and stability analyses of partial differential equations with applications to competitive system in ecology. (English) Zbl 1445.35288 Mohd, Mohd Hafiz (ed.) et al., Dynamical systems, bifurcation analysis and applications. Collected papers of the SEAMS school 2018 on dynamical systems and bifurcation analysis, DySBA, Penang, Malaysia, August 6–13, 2018. Singapore: Springer. Springer Proc. Math. Stat. 295, 117-132 (2019). MSC: 35Q92 92D40 37N25 92D25 PDFBibTeX XMLCite \textit{M. H. Mohd}, Springer Proc. Math. Stat. 295, 117--132 (2019; Zbl 1445.35288) Full Text: DOI
Guan, Linan; Jia, Bing; Gu, Huaguang A novel threshold across which the negative stimulation evokes action potential near a saddle-node bifurcation in a neuronal model with \(I_{\text{h}}\) current. (English) Zbl 1440.34046 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 14, Article ID 1950198, 26 p. (2019). MSC: 34C60 92C20 34C23 37C60 PDFBibTeX XMLCite \textit{L. Guan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 14, Article ID 1950198, 26 p. (2019; Zbl 1440.34046) Full Text: DOI
Hurtado, Paul J.; Kirosingh, Adam S. Generalizations of the ‘linear chain trick’: incorporating more flexible dwell time distributions into mean field ODE models. (English) Zbl 1441.34078 J. Math. Biol. 79, No. 5, 1831-1883 (2019). Reviewer: Xiaohu Wang (Chengdu) MSC: 34K17 92B05 PDFBibTeX XMLCite \textit{P. J. Hurtado} and \textit{A. S. Kirosingh}, J. Math. Biol. 79, No. 5, 1831--1883 (2019; Zbl 1441.34078) Full Text: DOI arXiv
Roussel, Marc R. Nonlinear dynamics. A hands-on introductory survey. (English) Zbl 1415.37003 IOP Concise Physics. San Rafael, CA: Morgan & Claypool Publishers; Bristol: IOP Publishing (ISBN 978-1-64327-461-4/print; 978-1-64327-464-5/ebook). xii, 190 p., not consecutively paged (2019). MSC: 37-01 37-04 37Gxx 70Kxx 65Pxx PDFBibTeX XMLCite \textit{M. R. Roussel}, Nonlinear dynamics. A hands-on introductory survey. San Rafael, CA: Morgan \& Claypool Publishers; Bristol: IOP Publishing (2019; Zbl 1415.37003) Full Text: DOI
Kaouri, K.; Maini, P. K.; Skourides, P. A.; Christodoulou, N.; Chapman, S. J. A simple mechanochemical model for calcium signalling in embryonic epithelial cells. (English) Zbl 1417.34103 J. Math. Biol. 78, No. 7, 2059-2092 (2019). MSC: 34C60 34E10 92C55 34C23 34C26 PDFBibTeX XMLCite \textit{K. Kaouri} et al., J. Math. Biol. 78, No. 7, 2059--2092 (2019; Zbl 1417.34103) Full Text: DOI arXiv
Monga, Bharat; Wilson, Dan; Matchen, Tim; Moehlis, Jeff Phase reduction and phase-based optimal control for biological systems: a tutorial. (English) Zbl 1411.92122 Biol. Cybern. 113, No. 1-2, 11-46 (2019). MSC: 92C42 49N90 35Q92 PDFBibTeX XMLCite \textit{B. Monga} et al., Biol. Cybern. 113, No. 1--2, 11--46 (2019; Zbl 1411.92122) Full Text: DOI
Köksal Ersöz, Elif; Desroches, Mathieu; Mirasso, Claudio R.; Rodrigues, Serafim Anticipation via canards in excitable systems. (English) Zbl 1406.92084 Chaos 29, No. 1, 013111, 18 p. (2019). MSC: 92C20 37N25 PDFBibTeX XMLCite \textit{E. Köksal Ersöz} et al., Chaos 29, No. 1, 013111, 18 p. (2019; Zbl 1406.92084) Full Text: DOI Link
De Caluwé, Joëlle; Tosenberger, Alen; Gonze, Didier; Dupont, Geneviève Signalling-modulated gene regulatory networks in early mammalian development. (English) Zbl 1406.92237 J. Theor. Biol. 463, 56-66 (2019). MSC: 92C42 92C15 92C37 PDFBibTeX XMLCite \textit{J. De Caluwé} et al., J. Theor. Biol. 463, 56--66 (2019; Zbl 1406.92237) Full Text: DOI Link
Hellen, Edward H.; Volkov, Evgeny How to couple identical ring oscillators to get quasiperiodicity, extended chaos, multistability, and the loss of symmetry. (English) Zbl 1475.37039 Commun. Nonlinear Sci. Numer. Simul. 62, 462-479 (2018). MSC: 37D45 37N25 34C15 70K55 PDFBibTeX XMLCite \textit{E. H. Hellen} and \textit{E. Volkov}, Commun. Nonlinear Sci. Numer. Simul. 62, 462--479 (2018; Zbl 1475.37039) Full Text: DOI arXiv
Stankevich, Nataliya V.; Dvorak, Anton; Astakhov, Vladimir; Jaros, Patrycja; Kapitaniak, Marcin; Perlikowski, Przemysław; Kapitaniak, Tomasz Chaos and hyperchaos in coupled antiphase driven Toda oscillators. (English) Zbl 1398.37031 Regul. Chaotic Dyn. 23, No. 1, 120-126 (2018). MSC: 37D45 70K55 PDFBibTeX XMLCite \textit{N. V. Stankevich} et al., Regul. Chaotic Dyn. 23, No. 1, 120--126 (2018; Zbl 1398.37031) Full Text: DOI
Jin, Mengshi; Chen, Wei; Song, Hanwen; Xu, Jian A frequency-domain method for solving linear time delay systems with constant coefficients. (English) Zbl 1397.93037 Acta Mech. Sin. 34, No. 4, 781-791 (2018). MSC: 93B11 93A10 65L03 PDFBibTeX XMLCite \textit{M. Jin} et al., Acta Mech. Sin. 34, No. 4, 781--791 (2018; Zbl 1397.93037) Full Text: DOI
Weinberger, Oskar; Ashwin, Peter From coupled networks of systems to networks of states in phase space. (English) Zbl 1395.37061 Discrete Contin. Dyn. Syst., Ser. B 23, No. 5, 2021-2041 (2018). MSC: 37N35 34D06 37C29 34B45 PDFBibTeX XMLCite \textit{O. Weinberger} and \textit{P. Ashwin}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 5, 2021--2041 (2018; Zbl 1395.37061) Full Text: DOI
Li, Li; Xu, Jian Bifurcation analysis and spatiotemporal patterns in unidirectionally delay-coupled vibratory gyroscopes. (English) Zbl 1441.70002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 2, Article ID 1850029, 14 p. (2018). MSC: 70E05 37N20 70K50 PDFBibTeX XMLCite \textit{L. Li} and \textit{J. Xu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 2, Article ID 1850029, 14 p. (2018; Zbl 1441.70002) Full Text: DOI
Akcay, Zeynep; Huang, Xinxian; Nadim, Farzan; Bose, Amitabha Phase-locking and bistability in neuronal networks with synaptic depression. (English) Zbl 1380.34055 Physica D 364, 8-21 (2018). MSC: 34C15 92B20 37N25 PDFBibTeX XMLCite \textit{Z. Akcay} et al., Physica D 364, 8--21 (2018; Zbl 1380.34055) Full Text: DOI Link
Köhnke, Merlin C.; Malchow, Horst Impact of parameter variability and environmental noise on the Klausmeier model of vegetation pattern formation. (English) Zbl 1390.93122 Mathematics 5, No. 4, Paper No. 69, 19 p. (2017). MSC: 93A30 93C20 92C15 92C80 PDFBibTeX XMLCite \textit{M. C. Köhnke} and \textit{H. Malchow}, Mathematics 5, No. 4, Paper No. 69, 19 p. (2017; Zbl 1390.93122) Full Text: DOI
Biswas, Debabrata; Banerjee, Tanmoy; Kurths, Jürgen Control of birhythmicity: a self-feedback approach. (English) Zbl 1390.92016 Chaos 27, No. 6, 063110, 11 p. (2017). MSC: 92B25 37N25 PDFBibTeX XMLCite \textit{D. Biswas} et al., Chaos 27, No. 6, 063110, 11 p. (2017; Zbl 1390.92016) Full Text: DOI arXiv Link
Köksal Ersöz, Elif; Desroches, Mathieu; Krupa, Martin Synchronization of weakly coupled canard oscillators. (English) Zbl 1376.34052 Physica D 349, 46-61 (2017). MSC: 34D06 34C15 34C60 92C20 PDFBibTeX XMLCite \textit{E. Köksal Ersöz} et al., Physica D 349, 46--61 (2017; Zbl 1376.34052) Full Text: DOI HAL
Rocşoreanu, Carmen; Sterpu, Mihaela Approximations of the homoclinic orbits near a double-zero bifurcation with symmetry of order two. (English) Zbl 1370.34028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750109, 10 p. (2017). MSC: 34A45 34C37 34C20 34C23 PDFBibTeX XMLCite \textit{C. Rocşoreanu} and \textit{M. Sterpu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750109, 10 p. (2017; Zbl 1370.34028) Full Text: DOI
Kingston, S. Leo; Thamilmaran, K. Bursting oscillations and mixed-mode oscillations in driven Liénard system. (English) Zbl 1370.34087 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1730025, 18 p. (2017). MSC: 34C60 37C60 94C05 34C23 34C25 34C26 34D20 34C28 PDFBibTeX XMLCite \textit{S. L. Kingston} and \textit{K. Thamilmaran}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1730025, 18 p. (2017; Zbl 1370.34087) Full Text: DOI
Gakkhar, Sunita; Gupta, Komal A three species dynamical system involving prey-predation, competition and commensalism. (English) Zbl 1410.92097 Appl. Math. Comput. 273, 54-67 (2016). MSC: 92D25 37N25 PDFBibTeX XMLCite \textit{S. Gakkhar} and \textit{K. Gupta}, Appl. Math. Comput. 273, 54--67 (2016; Zbl 1410.92097) Full Text: DOI
Thomas, Spencer A.; Lloyd, David J. B.; Skeldon, Anne C. Equation-free analysis of agent-based models and systematic parameter determination. (English) Zbl 1406.93032 Physica A 464, 27-53 (2016). MSC: 93A14 93E03 93B35 62P99 PDFBibTeX XMLCite \textit{S. A. Thomas} et al., Physica A 464, 27--53 (2016; Zbl 1406.93032) Full Text: DOI Link
Park, Youngmin; Ermentrout, Bard Weakly coupled oscillators in a slowly varying world. (English) Zbl 1382.93017 J. Comput. Neurosci. 40, No. 3, 269-281 (2016). MSC: 93C20 92B25 PDFBibTeX XMLCite \textit{Y. Park} and \textit{B. Ermentrout}, J. Comput. Neurosci. 40, No. 3, 269--281 (2016; Zbl 1382.93017) Full Text: DOI arXiv
Linaro, Daniele; Storace, Marco BAL: a library for the brute-force analysis of dynamical systems. (English) Zbl 1348.37001 Comput. Phys. Commun. 201, 126-134 (2016). MSC: 37-04 37M20 PDFBibTeX XMLCite \textit{D. Linaro} and \textit{M. Storace}, Comput. Phys. Commun. 201, 126--134 (2016; Zbl 1348.37001) Full Text: DOI
González-Navarrete, Manuel Type-dependent stochastic Ising model describing the dynamics of a non-symmetric feedback module. (English) Zbl 1351.82046 Math. Biosci. Eng. 13, No. 5, 981-998 (2016). MSC: 82C22 60J75 37N25 82C20 93B52 PDFBibTeX XMLCite \textit{M. González-Navarrete}, Math. Biosci. Eng. 13, No. 5, 981--998 (2016; Zbl 1351.82046) Full Text: DOI arXiv
Fallah, Haniyeh Symmetric fold/super-Hopf bursting, chaos and mixed-mode oscillations in Pernarowski model of pancreatic beta-cells. (English) Zbl 1347.34076 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 9, Article ID 1630022, 14 p. (2016). MSC: 34C60 34E20 34E17 34C23 92C37 34C28 PDFBibTeX XMLCite \textit{H. Fallah}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 9, Article ID 1630022, 14 p. (2016; Zbl 1347.34076) Full Text: DOI
Gou, J.; Ward, M. J. An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion. (English) Zbl 1439.92024 J. Nonlinear Sci. 26, No. 4, 979-1029 (2016). MSC: 92B25 35A08 35B20 35B32 35B35 35M33 PDFBibTeX XMLCite \textit{J. Gou} and \textit{M. J. Ward}, J. Nonlinear Sci. 26, No. 4, 979--1029 (2016; Zbl 1439.92024) Full Text: DOI arXiv
Astakhov, Sergey; Astakhov, Oleg; Astakhov, Vladimir; Kurths, Jürgen Bifurcational mechanism of multistability formation and frequency entrainment in a van der Pol oscillator with an additional oscillatory circuit. (English) Zbl 1343.34086 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 7, Article ID 1650124, 10 p. (2016). MSC: 34C15 34C23 94C05 34C45 34C46 PDFBibTeX XMLCite \textit{S. Astakhov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 7, Article ID 1650124, 10 p. (2016; Zbl 1343.34086) Full Text: DOI
Antoneli, Fernando; Ferreira, Renata C.; Briones, Marcelo R. S. A model of gene expression based on random dynamical systems reveals modularity properties of gene regulatory networks. (English) Zbl 1341.92044 Math. Biosci. 276, 82-100 (2016). MSC: 92D10 92C42 PDFBibTeX XMLCite \textit{F. Antoneli} et al., Math. Biosci. 276, 82--100 (2016; Zbl 1341.92044) Full Text: DOI arXiv
Wolkowicz, Gail S. K.; Yuan, Yuan Effect of light on the growth of non-nitrogen-fixing and nitrogen-fixing phytoplankton in an aquatic system. (English) Zbl 1341.34055 J. Math. Biol. 72, No. 6, 1663-1692 (2016). MSC: 34C60 34D20 34D05 92D25 34C23 34C05 34C28 PDFBibTeX XMLCite \textit{G. S. K. Wolkowicz} and \textit{Y. Yuan}, J. Math. Biol. 72, No. 6, 1663--1692 (2016; Zbl 1341.34055) Full Text: DOI
Colacchio, Giorgio Transitions to chaos in a seven-equation model of the business cycle with income redistribution and private debt. (English) Zbl 1334.34098 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 2, Article ID 1650027, 22 p. (2016). MSC: 34C60 34C05 34D20 34C23 34C28 PDFBibTeX XMLCite \textit{G. Colacchio}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 2, Article ID 1650027, 22 p. (2016; Zbl 1334.34098) Full Text: DOI
Gou, J.; Ward, M. J. Oscillatory dynamics for a coupled membrane-bulk diffusion model with Fitzhugh-Nagumo membrane kinetics. (English) Zbl 1347.35032 SIAM J. Appl. Math. 76, No. 2, 776-804 (2016). MSC: 35B32 35B20 35B35 92B25 35K51 35K58 35B25 PDFBibTeX XMLCite \textit{J. Gou} and \textit{M. J. Ward}, SIAM J. Appl. Math. 76, No. 2, 776--804 (2016; Zbl 1347.35032) Full Text: DOI
Ashwin, Peter; Burylko, Oleksandr Weak chimeras in minimal networks of coupled phase oscillators. (English) Zbl 1345.34052 Chaos 25, No. 1, 013106, 9 p. (2015). MSC: 34C15 34D06 34D45 34C28 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{O. Burylko}, Chaos 25, No. 1, 013106, 9 p. (2015; Zbl 1345.34052) Full Text: DOI arXiv
Ismail, Asma; Ashwin, Peter Multi-cluster dynamics in coupled phase oscillator networks. (English) Zbl 1351.37206 Dyn. Syst. 30, No. 1, 122-135 (2015). MSC: 37G15 37J45 PDFBibTeX XMLCite \textit{A. Ismail} and \textit{P. Ashwin}, Dyn. Syst. 30, No. 1, 122--135 (2015; Zbl 1351.37206) Full Text: DOI arXiv Link
West, Simon; Bridge, Lloyd J.; White, Michael R. H.; Paszek, Pawel; Biktashev, Vadim N. A method of ‘speed coefficients’ for biochemical model reduction applied to the NF-\(\kappa\)B system. (English) Zbl 1306.92022 J. Math. Biol. 70, No. 3, 591-620 (2015). Reviewer: Irina Ioana Mohorianu (Norwich) MSC: 92C42 92-08 PDFBibTeX XMLCite \textit{S. West} et al., J. Math. Biol. 70, No. 3, 591--620 (2015; Zbl 1306.92022) Full Text: DOI arXiv
González-Miranda, J. M. Pacemaker dynamics in the full Morris-Lecar model. (English) Zbl 1510.92060 Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3229-3241 (2014). MSC: 92C30 37N25 PDFBibTeX XMLCite \textit{J. M. González-Miranda}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3229--3241 (2014; Zbl 1510.92060) Full Text: DOI
Yi, Guo-Sheng; Wang, Jiang; Han, Chun-Xiao; Deng, Bin; Wei, Xi-Le; Jin, Qi-Tao Exploring action potential initiation in neurons exposed to DC electric fields through dynamical analysis of conductance-based model. (English) Zbl 1457.92085 Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1474-1485 (2014). MSC: 92C50 92C20 37N25 78A30 78A35 PDFBibTeX XMLCite \textit{G.-S. Yi} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1474--1485 (2014; Zbl 1457.92085) Full Text: DOI
Brown, Laura E.; King, John R.; Loose, Matt Two different network topologies yield bistability in models of mesoderm and anterior mesendoderm specification in amphibians. (English) Zbl 1412.92116 J. Theor. Biol. 353, 67-77 (2014). MSC: 92C42 92D10 92C15 PDFBibTeX XMLCite \textit{L. E. Brown} et al., J. Theor. Biol. 353, 67--77 (2014; Zbl 1412.92116) Full Text: DOI
Roberts, A. J.; MacKenzie, T.; Bunder, J. E. A dynamical systems approach to simulating macroscale spatial dynamics in multiple dimensions. (English) Zbl 1356.82024 J. Eng. Math. 86, 175-207 (2014). MSC: 82C20 82C80 35K57 PDFBibTeX XMLCite \textit{A. J. Roberts} et al., J. Eng. Math. 86, 175--207 (2014; Zbl 1356.82024) Full Text: DOI arXiv
Li, Bo; He, Zhimin Bifurcations and chaos in a two-dimensional discrete Hindmarsh-Rose model. (English) Zbl 1319.37024 Nonlinear Dyn. 76, No. 1, 697-715 (2014). MSC: 37D45 37G10 PDFBibTeX XMLCite \textit{B. Li} and \textit{Z. He}, Nonlinear Dyn. 76, No. 1, 697--715 (2014; Zbl 1319.37024) Full Text: DOI
Tang, Guangyao; Tang, Sanyi; Cheke, Robert A. Global analysis of a Holling type II predator-prey model with a constant prey refuge. (English) Zbl 1319.92051 Nonlinear Dyn. 76, No. 1, 635-647 (2014). MSC: 92D25 37N25 PDFBibTeX XMLCite \textit{G. Tang} et al., Nonlinear Dyn. 76, No. 1, 635--647 (2014; Zbl 1319.92051) Full Text: DOI
Dong, Yueping; Miyazaki, Rinko; Takeuchi, Yasuhiro Mathematical modeling on helper T cells in a tumor immune system. (English) Zbl 1309.92043 Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 55-72 (2014). MSC: 92C50 34C23 34C25 37G15 PDFBibTeX XMLCite \textit{Y. Dong} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 55--72 (2014; Zbl 1309.92043) Full Text: DOI
Hankins, Michael J.; Nagy, Timea; Kiss, István Z. Methodology for a nullcline-based model from direct experiments: applications to electrochemical reaction models. (English) Zbl 1341.93007 Comput. Math. Appl. 65, No. 10, 1633-1644 (2013). MSC: 93A30 93C40 93C15 37N99 78A57 34C15 PDFBibTeX XMLCite \textit{M. J. Hankins} et al., Comput. Math. Appl. 65, No. 10, 1633--1644 (2013; Zbl 1341.93007) Full Text: DOI
Ghosh, Mini Mathematical modelling of malaria with treatment. (English) Zbl 1305.92066 Adv. Appl. Math. Mech. 5, No. 6, 857-871 (2013). MSC: 92D30 37N25 PDFBibTeX XMLCite \textit{M. Ghosh}, Adv. Appl. Math. Mech. 5, No. 6, 857--871 (2013; Zbl 1305.92066) Full Text: DOI
Ingalls, Brian P. Mathematical modeling in systems biology. An introduction. (English) Zbl 1312.92003 Cambridge, MA: MIT Press (ISBN 978-0-262-01888-3/hbk; 978-0-262-31562-3/ebook). xiv, 408 p. (2013). Reviewer: Daniela Danciu (Craiova) MSC: 92-01 92C42 92C45 93A30 92B05 PDFBibTeX XMLCite \textit{B. P. Ingalls}, Mathematical modeling in systems biology. An introduction. Cambridge, MA: MIT Press (2013; Zbl 1312.92003)
Abbasian, A. H.; Fallah, H.; Razvan, M. R. Symmetric bursting behaviors in the generalized FitzHugh-Nagumo model. (English) Zbl 1294.92005 Biol. Cybern. 107, No. 4, 465-476 (2013). MSC: 92C20 34C23 37N25 37G15 34C60 PDFBibTeX XMLCite \textit{A. H. Abbasian} et al., Biol. Cybern. 107, No. 4, 465--476 (2013; Zbl 1294.92005) Full Text: DOI
Middleton, A. M.; King, J. R.; Loose, M. Wave pinning and spatial patterning in a mathematical model of antivin/lefty-nodal signalling. (English) Zbl 1279.92016 J. Math. Biol. 67, No. 6-7, 1393-1424 (2013). MSC: 92C15 37N25 92-08 PDFBibTeX XMLCite \textit{A. M. Middleton} et al., J. Math. Biol. 67, No. 6--7, 1393--1424 (2013; Zbl 1279.92016) Full Text: DOI
Safuan, H. M.; Sidhu, H. S.; Jovanoski, Z.; Towers, I. N. Impacts of biotic resource enrichment on a predator-prey population. (English) Zbl 1275.92099 Bull. Math. Biol. 75, No. 10, 1798-1812 (2013). MSC: 92D40 37N25 92-08 34C60 PDFBibTeX XMLCite \textit{H. M. Safuan} et al., Bull. Math. Biol. 75, No. 10, 1798--1812 (2013; Zbl 1275.92099) Full Text: DOI
Braza, Peter A. Predator-prey dynamics with square root functional responses. (English) Zbl 1254.92072 Nonlinear Anal., Real World Appl. 13, No. 4, 1837-1843 (2012). MSC: 92D25 34C23 34A34 PDFBibTeX XMLCite \textit{P. A. Braza}, Nonlinear Anal., Real World Appl. 13, No. 4, 1837--1843 (2012; Zbl 1254.92072) Full Text: DOI
Nabi, Ali; Moehlis, Jeff Time optimal control of spiking neurons. (English) Zbl 1250.49002 J. Math. Biol. 64, No. 6, 981-1004 (2012). MSC: 49J15 49J30 34H05 93C15 PDFBibTeX XMLCite \textit{A. Nabi} and \textit{J. Moehlis}, J. Math. Biol. 64, No. 6, 981--1004 (2012; Zbl 1250.49002) Full Text: DOI
Mincheva, Maya; Roussel, Marc R. Turing-Hopf instability in biochemical reaction networks arising from pairs of subnetworks. (English) Zbl 1319.92018 Math. Biosci. 240, No. 1, 1-11 (2012). MSC: 92C45 92C42 PDFBibTeX XMLCite \textit{M. Mincheva} and \textit{M. R. Roussel}, Math. Biosci. 240, No. 1, 1--11 (2012; Zbl 1319.92018) Full Text: DOI
Song, Yongli Spatio-temporal patterns of Hopf bifurcating periodic oscillations in a pair of identical tri-neuron network loops. (English) Zbl 1239.92004 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 943-952 (2012). MSC: 92B20 34K18 34K13 22E45 68T05 22E99 65C20 PDFBibTeX XMLCite \textit{Y. Song}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 943--952 (2012; Zbl 1239.92004) Full Text: DOI
Lara, Teodoro; Rebaza, Jorge Dynamics of transitions in population interactions. (English) Zbl 1239.37012 Nonlinear Anal., Real World Appl. 13, No. 3, 1268-1277 (2012). MSC: 37N25 92D25 PDFBibTeX XMLCite \textit{T. Lara} and \textit{J. Rebaza}, Nonlinear Anal., Real World Appl. 13, No. 3, 1268--1277 (2012; Zbl 1239.37012) Full Text: DOI
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier Noise-induced behaviors in neural mean field dynamics. (English) Zbl 1235.92016 SIAM J. Appl. Dyn. Syst. 11, No. 1, 49-81 (2012). MSC: 92C20 92C42 60K99 34C60 65C20 PDFBibTeX XMLCite \textit{J. Touboul} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 49--81 (2012; Zbl 1235.92016) Full Text: DOI arXiv Link
Bose, Amitabha; Booth, Victoria Co-existent activity patterns in inhibitory neuronal networks with short-term synaptic depression. (English) Zbl 1405.92007 J. Theor. Biol. 272, 42-54 (2011). MSC: 92B20 92C20 PDFBibTeX XMLCite \textit{A. Bose} and \textit{V. Booth}, J. Theor. Biol. 272, 42--54 (2011; Zbl 1405.92007) Full Text: DOI
Teka, Wondimu; Tabak, Joël; Vo, Theodore; Wechselberger, Martin; Bertram, Richard The dynamics underlying pseudo-plateau bursting in a pituitary cell model. (English) Zbl 1259.37063 J. Math. Neurosci. 1, Paper No. 12 (2011). MSC: 37N25 37C10 34D10 PDFBibTeX XMLCite \textit{W. Teka} et al., J. Math. Neurosci. 1, Paper No. 12 (2011; Zbl 1259.37063) Full Text: DOI
Aguiar, M.; Ashwin, P.; Dias, A.; Field, M. Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. (English) Zbl 1254.37053 J. Nonlinear Sci. 21, No. 2, 271-323 (2011). Reviewer: Angela Slavova (Sofia) MSC: 37N25 37C29 34K60 PDFBibTeX XMLCite \textit{M. Aguiar} et al., J. Nonlinear Sci. 21, No. 2, 271--323 (2011; Zbl 1254.37053) Full Text: DOI Link
Shimizu, Kuniyasu; Sekikawa, Munehisa; Inaba, Naohiko Mixed-mode oscillations and chaos from a simple second-order oscillator under weak periodic perturbation. (English) Zbl 1242.34063 Phys. Lett., A 375, No. 14, 1566-1569 (2011). MSC: 34C15 34C28 34C23 70K30 70K40 PDFBibTeX XMLCite \textit{K. Shimizu} et al., Phys. Lett., A 375, No. 14, 1566--1569 (2011; Zbl 1242.34063) Full Text: DOI
Agarwal, Nikita; Rodrigues, Alexandre; Field, Michael Dynamics near the product of planar heteroclinic attractors. (English) Zbl 1253.37034 Dyn. Syst. 26, No. 4, 447-481 (2011). MSC: 37C70 37B25 PDFBibTeX XMLCite \textit{N. Agarwal} et al., Dyn. Syst. 26, No. 4, 447--481 (2011; Zbl 1253.37034) Full Text: DOI
Zhang, Feng; Zhang, Wei; Meng, Pan; Su, Jianzhong Bifurcation analysis of bursting solutions of two Hindmarsh-Rose neurons with joint electrical and synaptic coupling. (English) Zbl 1228.34070 Discrete Contin. Dyn. Syst., Ser. B 16, No. 2, 637-651 (2011). MSC: 34C60 34C28 92C20 34E20 34C15 34C23 PDFBibTeX XMLCite \textit{F. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 16, No. 2, 637--651 (2011; Zbl 1228.34070) Full Text: DOI
Song, Yongli Hopf bifurcation and spatio-temporal patterns in delay-coupled van der Pol oscillators. (English) Zbl 1215.34084 Nonlinear Dyn. 63, No. 1-2, 223-237 (2011). MSC: 34K18 34C15 37G15 37G40 70K50 PDFBibTeX XMLCite \textit{Y. Song}, Nonlinear Dyn. 63, No. 1--2, 223--237 (2011; Zbl 1215.34084) Full Text: DOI
Dafilis, Mathew P.; Sinclair, Nicholas C.; Cadusch, Peter J.; Liley, David T. J. Re-evaluating the performance of the nonlinear prediction error for the detection of deterministic dynamics. (English) Zbl 1208.37050 Physica D 240, No. 8, 695-700 (2011). MSC: 37N25 92C55 PDFBibTeX XMLCite \textit{M. P. Dafilis} et al., Physica D 240, No. 8, 695--700 (2011; Zbl 1208.37050) Full Text: DOI
Parks, Helen F.; Ermentrout, Bard; Rubin, Jonathan E. The dynamics of a forced coupled network of active elements. (English) Zbl 1214.37058 Physica D 240, No. 7, 554-567 (2011). Reviewer: Leonhard Lücken (Berlin) MSC: 37N25 92C20 34C15 PDFBibTeX XMLCite \textit{H. F. Parks} et al., Physica D 240, No. 7, 554--567 (2011; Zbl 1214.37058) Full Text: DOI
Leard, Benjamin; Rebaza, Jorge Analysis of predator-prey models with continuous threshold harvesting. (English) Zbl 1207.92046 Appl. Math. Comput. 217, No. 12, 5265-5278 (2011). MSC: 92D40 91B76 34C60 65C20 37N25 PDFBibTeX XMLCite \textit{B. Leard} and \textit{J. Rebaza}, Appl. Math. Comput. 217, No. 12, 5265--5278 (2011; Zbl 1207.92046) Full Text: DOI
Tabone, Michaelangelo; Ermentrout, Bard; Doiron, Brent Balancing organization and flexibility in foraging dynamics. (English) Zbl 1407.92153 J. Theor. Biol. 266, No. 3, 391-400 (2010). MSC: 92D50 92C42 60G50 PDFBibTeX XMLCite \textit{M. Tabone} et al., J. Theor. Biol. 266, No. 3, 391--400 (2010; Zbl 1407.92153) Full Text: DOI
Koseska, A.; Ullner, E.; Volkov, E.; Kurths, J.; García-Ojalvo, Jordi Cooperative differentiation through clustering in multicellular populations. (English) Zbl 1406.92150 J. Theor. Biol. 263, No. 2, 189-202 (2010). MSC: 92C37 92C40 PDFBibTeX XMLCite \textit{A. Koseska} et al., J. Theor. Biol. 263, No. 2, 189--202 (2010; Zbl 1406.92150) Full Text: DOI HAL
Manica, Evandro; Medvedev, Georgi S.; Rubin, Jonathan E. First return maps for the dynamics of synaptically coupled conditional bursters. (English) Zbl 1266.37052 Biol. Cybern. 103, No. 2, 87-104 (2010). MSC: 37N25 92C20 34C60 PDFBibTeX XMLCite \textit{E. Manica} et al., Biol. Cybern. 103, No. 2, 87--104 (2010; Zbl 1266.37052) Full Text: DOI
Sekikawa, Munehisa; Inaba, Naohiko; Yoshinaga, Tetsuya; Hikihara, Takashi Period-doubling cascades of canards from the extended Bonhoeffer-van der Pol oscillator. (English) Zbl 1238.34069 Phys. Lett., A 374, No. 36, 3745-3751 (2010). MSC: 34C15 34F10 34C28 PDFBibTeX XMLCite \textit{M. Sekikawa} et al., Phys. Lett., A 374, No. 36, 3745--3751 (2010; Zbl 1238.34069) Full Text: DOI
de Carvalho Braga, Denis; Fernando Mello, Luis; Rocşoreanu, Carmen; Sterpu, Mihaela Control of planar Bautin bifurcation. (English) Zbl 1215.93116 Nonlinear Dyn. 62, No. 4, 989-1000 (2010). MSC: 93C95 34C23 34H20 37G10 37N35 PDFBibTeX XMLCite \textit{D. de Carvalho Braga} et al., Nonlinear Dyn. 62, No. 4, 989--1000 (2010; Zbl 1215.93116) Full Text: DOI HAL
Jalics, Jozsi; Krupa, Martin; Rotstein, Horacio G. Mixed-mode oscillations in a three time-scale system of ODEs motivated by a neuronal model. (English) Zbl 1204.37085 Dyn. Syst. 25, No. 4, 445-482 (2010). MSC: 37N25 92C20 34C26 PDFBibTeX XMLCite \textit{J. Jalics} et al., Dyn. Syst. 25, No. 4, 445--482 (2010; Zbl 1204.37085) Full Text: DOI arXiv
Middleton, A. M.; King, J. R.; Bennett, M. J.; Owen, M. R. Mathematical modelling of the \(Aux/IAA\) negative feedback loop. (English) Zbl 1198.92005 Bull. Math. Biol. 72, No. 6, 1383-1407 (2010). MSC: 92C15 92C42 92C45 92C37 37N25 PDFBibTeX XMLCite \textit{A. M. Middleton} et al., Bull. Math. Biol. 72, No. 6, 1383--1407 (2010; Zbl 1198.92005) Full Text: DOI
Rusin, Craig G.; Kori, Hiroshi; Kiss, István Z.; Hudson, John L. Synchronization engineering: tuning the phase relationship between dissimilar oscillators using nonlinear feedback. (English) Zbl 1195.34055 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1918, 2189-2204 (2010). MSC: 34C15 37N35 34D06 93B52 PDFBibTeX XMLCite \textit{C. G. Rusin} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1918, 2189--2204 (2010; Zbl 1195.34055) Full Text: DOI