Predicting climate tipping as a noisy bifurcation: A review [PDF]
, 2011 Copyright © 2011 World Scientific PublishingElectronic version of an article published in International Journal of Bifurcation and Chaos, Vol. 21 (2), pp. 399 – 423. DOI: 10.1142/S0218127411028519. Copyright © World Scientific Publishing Company.
Thompson, J., Sieber, J., Thompson, J.M.
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Arnol′d tongues arising from a grazing-sliding bifurcation
, 2009 The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM +3 more
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Process design in SISO systems with input multiplicity using bifurcation analysis and optimisation [PDF]
, 2010 This paper presents an approach using continuation and optimisation methods for modifying a process design to avoid control difficulties caused by input multiplicity.
Keming Ma +5 more
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Equilibrium Point Bifurcation and Singularity Analysis of HH Model with Constraint
Abstract and Applied Analysis, 2014 We present the equilibrium point bifurcation and singularity analysis of HH model with constraints. We investigate the effect of constraints and parameters on the type of equilibrium point bifurcation.
Xinhe Zhu, Zhiqiang Wu
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Multi-parameter uncertainty analysis of a bifurcation point [PDF]
Nonlinear Processes in Geophysics, 2006 Parameter uncertainty analysis of climate models has become a standard approach for model validation and testing their sensitivity. Here we present a novel approach that allows one to estimate the robustness of a bifurcation point in a multi-parameter ...
B. Knopf, M. Flechsig, K. Zickfeld
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FUNDAMENTAL MODELS OF STRUCTURAL STABILITY
Rudarsko-geološko-naftni Zbornik, 2017 In this paper, basic structural stability phenomena are described. After some general comments about stability in the field of civil engineering, four elementary sources of nonlinearity are mentioned: of equilibrium equations, strain (geometry) relations,
Antonia Jaguljnjak Lazarević +2 more
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Dynamic Behaviors of a Two-Degree-of-Freedom Impact Oscillator with Two-Sided Constraints
Shock and Vibration, 2021 The dynamic model of a vibroimpact system subjected to harmonic excitation with symmetric elastic constraints is investigated with analytical and numerical methods.
Songtao Li, Qunhong Li, Zhongchuan Meng
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The classification of bifurcations with hidden symmetries [PDF]
, 2000 We set up a singularity-theoretic framework for classifying one-parameter steady-state bifurcations with hidden symmetries. This framework also permits a non-trivial linearization at the bifurcation point.
Manoel, Míriam, Stewart, Ian
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Investigation of Early Warning Indexes in a Three-Dimensional Chaotic System with Zero Eigenvalues
Entropy, 2020 A rare three-dimensional chaotic system with all eigenvalues equal to zero is proposed, and its dynamical properties are investigated. The chaotic system has one equilibrium point at the origin.
Lianyu Chen +4 more
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source