Exterior algebra-based algorithms to estimate Liapunov spectra and stretching statistics in high-dimensional and distributed systems

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 12, Issue 2, 2002, Pages 353-368

  Adrover, Alessandra ^a   Cerbelli, Stefano ^a   Giona, Massimiliano ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; LYAPUNOV METHODS; PARTIAL DIFFERENTIAL EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); VECTORS;

HIGH-DIMENSIONAL SYSTEMS;

CHAOS THEORY;

EID: 0036337096     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812740200436X     Document Type: Article

References (35)

1. Analytic expression for the short-time rate of growth of the intermaterial contact perimeter in two-dimensional chaotic flows and Hamiltonian systems
2. Self-similar spatiotemporal structure of intermaterial boundaries in chaotic flows
3. Regulatory control of a chaotic non-isothermal CSTR
4. Statistical relaxation under nonturbulent choatic flows: Non-Gaussian high stretching tails of finite-time Lyapunov exponents
5. Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems: A method for computing all of them
6. On the numerical simulation of chaotic behavior of some distributed-parameter systems
7. Characterization of strange attractors in the autoignition of coal stockpiles
8. Non-linear dynamics of a self-ignited reaction-diffusion system
9. Ergodic theory of chaos and strange attractors
10. Comparison of different methods for computing Lyapunov exponents
11. Dimension and entropies of strange attractors from a fluctuating dynamics approach
12. Chaos in a continuous stirred-tank reactor with two consecutive first-order reactions, one exo- one endothermic
13. Complex dynamic features of a cooled reverse-flow reactor
14. On the dimensions of the compact invariant sets of certain non-linear maps
15. A multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems
16. A comparative study of computation of Lyapunov spectra with different algorithms
17. Lyapunov exponents without rescaling and reorthogonalization
18. Periodic, quasiperiodic and chaotic spatiotemporal patterns in a tubular catalytic reactor with periodic flow reversal
19. A concise proof of the 'geometric' construction of inertial manifolds
20. Finite-dimensional behavior in dissipative partial differential equations
21. Arbitrarily accurate approximate inertial manifolds in fixed dimension
22. Lyapunov exponents and subspace evolution
23. An equation for hyperchaos
24. A numerical approach to ergodic problems of dissipative dynamical systems
25. Detecting strange attractors in turbulence
26. Determining Lyapunov exponents from a time series
27. Generation of chaotic oscillations in a system with flow reversal