Chronotopic Lyapunov analysis. I. A detailed characterization of \(1\)D systems

DOI10.1007/BF02183390zbMath1260.37059arXivchao-dyn/9504005MaRDI QIDQ1946898

Alessandro Torcini, Stefano Lepri, Antonio Z. Politi

Publication date: 10 April 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9504005

zbMATH Keywords

localizationcoupled map latticeshigh-dimensional chaosspatiotemporal instabilitiestemporal and spatial Lyapunov spectra

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (8)

A chaotic lattice field theory in one dimension* ⋮ Chronotopic Lyapunov analysis. I. A detailed characterization of \(1\)D systems ⋮ Spatio-temporal phenomena in complex systems with time delays ⋮ Characterization of the spatial complex behavior and transition to chaos in flow systems ⋮ Entropy potential and Lyapunov exponents ⋮ Predictability: a way to characterize complexity ⋮ Resilience for stochastic systems interacting via a quasi-degenerate network ⋮ Chronotopic Lyapunov analysis. II: Toward a unified approach

Cites Work

• Chronotopic Lyapunov analysis. II: Toward a unified approach
• Chronotopic Lyapunov analysis. I. A detailed characterization of \(1\)D systems
• Liapunov spectra for infinite chains of nonlinear oscillators.
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Dynamic Scaling of Growing Interfaces
• Coupled map models for chaos in extended systems
• Periodic orbits in coupled Hénon maps: Lyapunov and multifractal analysis
• Local Lyapunov exponents for spatiotemporal chaos
• Ergodic theory of chaos and strange attractors

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