The convergence of chaotic integrals

DOI10.1063/1.166251zbMath0933.37027arXivchao-dyn/9505008OpenAlexW1972189001WikidataQ35142399 ScholiaQ35142399MaRDI QIDQ4935789

Ronnie Mainieri, Oliver Bauer

Publication date: 17 January 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9505008

zbMATH Keywords

Monte Carlo methodFredholm determinantdynamical zeta functiontrace methodchaotic integrals

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Numerical integration (65D30)

Related Items (1)

Convergence analysis of Davidchack and Lai's algorithm for finding periodic orbits

Cites Work

• Convergence of dynamical zeta functions
• Dynamical averaging in terms of periodic orbits
• Evaluation of probabilistic and dynamical invariants from finite symbolic substrings - comparison between two approaches
• On the rate of convergence to equilibrium in one-dimensional systems
• Periodic orbits as the skeleton of classical and quantum chaos
• Escape from strange repellers
• Recycling of strange sets: I. Cycle expansions
• The correlation spectrum for hyperbolic analytic maps

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