Mathematics of the genome
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Publication:1683737
DOI10.1007/s10208-016-9316-xzbMath1380.37148arXiv1510.00080OpenAlexW2963586390MaRDI QIDQ1683737
Indika Rajapakse, Stephen Smale
Publication date: 1 December 2017
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.00080
Dynamical systems in biology (37N25) Bifurcations of singular points in dynamical systems (37G10) Genetics and epigenetics (92D10)
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Cites Work
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Snakes: oriented families of periodic orbits, their sources, sinks, and continuation
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Existence of periodic solutions for negative feedback cellular control systems
- Stable oscillations in mathematical models of biological control systems
- Elements of applied bifurcation theory.
- Structure of the global attractor of cyclic feedback systems
- Condition
- The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
- Global Bifurcations of Periodic Orbits
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Dynamics in Genetic Networks
- EXISTENCE OF LIMIT CYCLES IN THE REPRESSILATOR EQUATIONS
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