Abstract
Bistability indicates the ability of a system to reside in either of two states. This is a fairly general paradigm that has found numerous applications in science, from liquid crystal displays to the lac operon in E. coli to the cell cycle oscillator in Xenopus laevis.
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References
S.H. Strogatz, Nonlinear Dynamics and Chaos (Perseus Books Publishing, Cambridge, 1994)
C. Jones, in Handbook of Visual Display Technology, ed. by J. Chen, W. Cranton, M. Fihn (Springer, Berlin, 2012) pp. 1507–1543
E. Ozbudak, M. Thattai, H. Lim, B. Shraiman, A. van Oudenaarden, Nature 427, 737 (2004)
J. Ferrell Jr, J. Pomerening, S. Kim, N. Trunnell, W. Xiong, C. Huang, E. Machleder, FEBS Lett. 583, 3999 (2009)
N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Advanced Book Program, Reading, Boston, 1992)
S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd edn. (Springer, Berlin, 2003)
S. Wolfram, A New Kind of Science (Wolfram Media, Champaign, 2002)
C.W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 4th edn. (Springer, New York, 2009)
W. Horsthemke, R. Lefever, Noise-Induced Transitions (Springer, Berlin, 1984)
Y. Togashi, K. Kaneko, Phys. Rev. Lett. 86, 2459 (2001)
J. Ohkubo, N. Shnerb, D.A. Kessler, J. Phys. Soc. Jpn. 77, 044002 (2007)
T. Biancalani, T. Rogers, A.J. McKane, Phys. Rev. E 86, 010106(R) (2012)
N.G. van Kampen, Stochastic Processes in Physics and Chemistry, 3rd edn. (Elsevier Science, Amsterdam, 2007)
D.T. Gillespie, J. Comput. Phys. 22, 403 (1976)
D.T. Gillespie, J. Phys. Chem. 81, 2340 (1977)
A.D. Polyanin, Handbook of Linear Partial Differential Equations for Engineers and Scientists (Chapman and Hall, Boca Raton, 2002)
J.V. Armitage, W.F. Eberlein, Elliptic Functions, 1st edn. (Cambridge University Press, Cambridge, 2006)
S. Redner, A Guide to First-Passage Processes, 1st edn. (Cambridge University Press, Cambridge, 2001)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965)
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Biancalani, T. (2014). Noise-Induced Bistability. In: The Influence of Demographic Stochasticity on Population Dynamics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-07728-4_3
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DOI: https://doi.org/10.1007/978-3-319-07728-4_3
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