Natural tangent dynamics with recurrent biorthonormalizations: a geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets
DOI10.1016/j.physd.2005.05.021zbMath1111.34042OpenAlexW2089200109WikidataQ60696561 ScholiaQ60696561MaRDI QIDQ2492248
Alessandra Adrover, Massimiliano Giona, V. Vitacolonna, Mauro Valorani, Francesco Creta
Publication date: 9 June 2006
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2005.05.021
Dynamical systemschemical kineticsgeometric singular perturbationLyapunov spectramultiple time scaleslow manifoldsinvariant geometric properties
Classical flows, reactions, etc. in chemistry (92E20) Chemically reacting flows (80A32) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Singular perturbations for ordinary differential equations (34E15) Approximation methods and numerical treatment of dynamical systems (37M99) Numerical problems in dynamical systems (65P99)
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Cites Work
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- Geometric singular perturbation theory for ordinary differential equations
- On the implementation of the method of Magnus series for linear differential equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Unstable dimension variability: A source of nonhyperbolicity in chaotic systems
- Modal reduction of PDE models by means of snapshot archetypes
- Asymptotic analysis of two reduction methods for systems of chemical reactions
- Solving reduced chemical models in air pollution modelling
- Partitioning techniques and lumping computation for reducing chemical kinetics. APLA: an automatic partitioning and lumping algorithm
- Archetypal analysis of spatio-temporal dynamics
- A comparative study of computation of Lyapunov spectra with different algorithms
- Comparison of Different Methods for Computing Lyapunov Exponents
- The double scroll family
- Lyapunov exponents and subspace evolution
- Invariant Manifolds and Singularly Perturbed Boundary Value Problems
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Computationally efficient implementation of combustion chemistry usingin situadaptive tabulation
- Identification of low order manifolds: Validating the algorithm of Maas and Pope
- Ergodic theory of chaos and strange attractors
- EXTERIOR ALGEBRA-BASED ALGORITHMS TO ESTIMATE LIAPUNOV SPECTRA AND STRETCHING STATISTICS IN HIGH-DIMENSIONAL AND DISTRIBUTED SYSTEMS
- Global reduced mechanisms for methane and hydrogen combustion with nitric oxide formation constructed with CSP data
- On the exponential solution of differential equations for a linear operator