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Journal of Biological Dynamics Volume 10, 2016 - Issue 1
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Original Articles

Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves

Luu Hoang DucMax Planck Institute for Mathematics in the Sciences, Leipzig, Germany;Department of Probability and Statistics, Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, VietnamCorrespondence[email protected]
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,
Joseph Páez ChávezDepartment of Mathematics, Center for Dynamics, TU Dresden, Dresden, Germany;Facultad de Ciencias Naturales y Matemáticas, Escuela Superior Politécnica del Litoral, Guayaquil, EcuadorCorrespondence[email protected]
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Doan Thai SonDepartment of Probability and Statistics, Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, VietnamCorrespondence[email protected]
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Stefan SiegmundDepartment of Mathematics, Center for Dynamics, TU Dresden, Dresden, GermanyCorrespondence[email protected]
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Pages 379-394 | Received 21 Dec 2015, Accepted 12 Jun 2016, Published online: 14 Jul 2016

Citations (10)

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Nguyen Van Dac. (2022) Finite-time attractivity for semilinear functional differential inclusions. Applicable Analysis 101:16, pages 5571-5581.
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Articles from other publishers (9)

Sebastian Wieczorek, Chun Xie & Peter Ashwin. (2023) Rate-induced tipping: thresholds, edge states and connecting orbits. Nonlinearity 36:6, pages 3238-3293.
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Tran Van Tuan. (2023) Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh–Stokes equations. Georgian Mathematical Journal 30:2, pages 291-301.
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Sathishkumar Murugesan & Yen-Chen Liu. (2023) Resilient finite-time distributed event-triggered consensus of multi-agent systems with multiple cyber-attacks. Communications in Nonlinear Science and Numerical Simulation 116, pages 106876.
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J. Newman, M. Lucas & A. Stefanovska. (2021) Stabilization of cyclic processes by slowly varying forcing. Chaos: An Interdisciplinary Journal of Nonlinear Science 31:12.
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Julian M. I. Newman, Maxime Lucas & Aneta Stefanovska. 2021. Physics of Biological Oscillators. Physics of Biological Oscillators 111 129 .
Paul E. O'Keeffe & Sebastian Wieczorek. (2020) Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations. SIAM Journal on Applied Dynamical Systems 19:4, pages 2371-2402.
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Tran Dinh Ke & Tran Van Tuan. (2018) Finite-Time Attractivity for Semilinear Fractional Differential Equations. Results in Mathematics 73:1.
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Artur Babiarz, Adam Czornik, Evgenii Makarov, Michał Niezabitowski & Svetlana Popova. (2017) Pole Placement Theorem for Discrete Time-Varying Linear Systems. SIAM Journal on Control and Optimization 55:2, pages 671-692.
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Michał Niezabitowski. (2016) On the Sequences Realizing Perron and Lyapunov Exponents of Discrete Linear Time-Varying Systems. Mathematical Problems in Engineering 2016, pages 1-7.
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