EXTERIOR ALGEBRA-BASED ALGORITHMS TO ESTIMATE LIAPUNOV SPECTRA AND STRETCHING STATISTICS IN HIGH-DIMENSIONAL AND DISTRIBUTED SYSTEMS

DOI10.1142/S021812740200436XzbMath1044.37052OpenAlexW2089400292WikidataQ60696611 ScholiaQ60696611MaRDI QIDQ4736347

Stefano Cerbelli, Alessandra Adrover, Massimiliano Giona

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812740200436x

zbMATH Keywords

dissipative dynamical systemsevolution equationsdistributed parameter systemshyperchaosnumerical estimationspectra of Lyapunov exponentsreaction/diffusion kineticsalgebra of exterior formsdynamics of measure elements

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (4)

Stretching-based diagnostics and reduction of chemical kinetic models with diffusion ⋮ Characterizing two-timescale nonlinear dynamics using finite-time Lyapunov exponents and subspaces ⋮ Biorthogonalization, geometric invariant properties and rate-based estimate of Lyapunov spectra ⋮ Natural tangent dynamics with recurrent biorthonormalizations: a geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets

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