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Publication Cover
Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 22, 2016 - Issue 2
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Original Articles

On unifying concepts for trajectory-based slow invariant attracting manifold computation in kinetic multiscale models

D. LebiedzInstitute for Numerical Mathematics, Ulm University, Ulm, GermanyCorrespondence[email protected]
&
J. UngerInstitute for Numerical Mathematics, Ulm University, Ulm, Germany
Pages 87-112 | Received 17 Oct 2014, Accepted 08 Jan 2016, Published online: 02 Mar 2016

Citations (7)

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Read on this site (1)

Dirk Lebiedz & Johannes Poppe. (2022) On Differential Geometric Formulations of Slow Invariant Manifold Computation: Geodesic Stretching and Flow Curvature. Journal of Dynamical Systems and Geometric Theories 20:1, pages 1-32.
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Articles from other publishers (6)

Igor Donskoy. (2022) On the Existence and Applicability of Extremal Principles in the Theory of Irreversible Processes: A Critical Review. Energies 15:19, pages 7152.
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Jean-Marc Ginoux. (2021) Slow Invariant Manifolds of Slow–Fast Dynamical Systems. International Journal of Bifurcation and Chaos 31:07, pages 2150112.
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Alessandro Ceccato, Paolo Nicolini & Diego Frezzato. (2019) Recasting the mass-action rate equations of open chemical reaction networks into a universal quadratic format. Journal of Mathematical Chemistry 57:4, pages 1001-1018.
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Pascal Heiter & Dirk Lebiedz. (2018) Towards Differential Geometric Characterization of Slow Invariant Manifolds in Extended Phase Space: Sectional Curvature and Flow Invariance. SIAM Journal on Applied Dynamical Systems 17:1, pages 732-753.
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Alessandro Ceccato, Paolo Nicolini & Diego Frezzato. (2017) Attracting subspaces in a hyper-spherical representation of autonomous dynamical systems. Journal of Mathematical Physics 58:9.
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Alessandro Ceccato, Paolo Nicolini & Diego Frezzato. (2017) A Low-Computational-Cost Strategy to Localize Points in the Slow Manifold Proximity for Isothermal Chemical Kinetics. International Journal of Chemical Kinetics 49:7, pages 477-493.
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