A chaotic lattice field theory in one dimension*

DOI10.1088/1751-8121/ac76f8OpenAlexW4281760141MaRDI QIDQ5054696

No author found.

Publication date: 29 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11325

zbMATH Keywords

periodic orbitssymbolic dynamicscoupled map latticescat mapmany-particle systemschaotic field theory

Mathematics Subject Classification ID

Quantum chaos (81Q50) Many-body theory; quantum Hall effect (81V70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (2)

Semiclassical roots of universality in many-body quantum chaos ⋮ Local correlations in coupled cat maps with space-time duality

Uses Software

• AUTO
• LattE
• channelflow
• HomCont

Cites Work

• Linear encoding of the spatiotemporal cat
• Variational methods for finding periodic orbits in the incompressible Navier–Stokes equations
• Relative periodic orbits form the backbone of turbulent pipe flow
• Visualizing the geometry of state space in plane Couette flow
• Recurrent flows: the clockwork behind turbulence
• Differentiable dynamical systems
• The Direct Solution of the Discrete Poisson Equation on a Rectangle
• Chaos
• A count of maximal small copies in Multibrot sets
• Seiberg duality, quiver gauge theories, and Ihara’s zeta function
• A mathematical example displaying features of turbulence
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Special issue in honour of the life and work of Fritz Haake
• Quantum signatures of chaos
• Equilibrium phase transitions in coupled map lattices: a pedestrian approach.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Feynman identity for planar graphs
• The Ihara zeta function of the infinite grid
• Quantum walks, Ihara zeta functions and cospectrality in regular graphs
• Shift automorphisms in the Henon mapping
• Complex Hamiltonian dynamics. With a foreword by Sergej Flach
• Ghost circles in lattice Aubry-Mather theory
• Necklaces, MSS sequences, and DNA sequences
• Formulae for cycles in the Mandelbrot set. II
• Chaotic trajectories in the standard map. The concept of anti- integrability
• Formulation of the theory of turbulence in an incompressible fluid
• Sur l'itération des polynômes réels quadratiques
• Almost periodic Schrödinger operators: A review
• Integer points in polyhedra
• Reductions and simplifications of orbital sums in a Hamiltonian repeller
• Conjugacy classes and chiral doublets in the Hénon Hamiltonian repeller
• Transport in Hamiltonian systems
• Symbolic dynamics of the cubic map
• MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\)
• A linear code for the sawtooth and cat maps
• Periodic orbits of the sawtooth maps
• Classification of all cycles of the parabolic map
• Chaos in classical and quantum mechanics
• A physical interpretation of the Hénon map
• Theory of nonlinear lattices.
• Application of Newton's method to Lagrangian mappings
• Chronotopic Lyapunov analysis. II: Toward a unified approach
• Counting the number of periods in one-dimensional maps with multiple critical points
• The fractal property of the Lorenz attractor
• Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices
• Generalized Hénon maps: The cubic diffeomorphisms of the plane
• A proof of Terras' conjecture on the radius of convergence of the Ihara zeta function
• The critical Ising model via Kac-Ward matrices
• Recent results on the dynamics of higher-dimensional Hénon maps
• Homoclinic bifurcations for the Hénon map
• Trace formulas for stochastic evolution operators: Weak noise perturbation theory
• Bounded nonwandering sets for polynomial mappings
• A zeta function for flip systems.
• Anti-integrability in dynamical and variational problems
• Chronotopic Lyapunov analysis. I. A detailed characterization of \(1\)D systems
• Extended symbolic dynamics in bistable CML: Existence and stability of fronts
• Computing periodic orbits with high accuracy
• Computing periodic orbits using the anti-integrable limit
• Stability of minimal periodic orbits.
• Complicated behavior in cubic Hénon maps
• On periodic points
• An equation for continuous chaos
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Effective lattice point counting in rational convex polytopes
• A method for locating symmetric homoclinic orbits using symbolic dynamics
• Lattice sums and the two-dimensional, periodic Green's function for the Helmholtz equation
• The Lindstedt--Poincaré Technique as an Algorithm for Computing Periodic Orbits
• Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst
• Classical foundations of many-particle quantum chaos
• Periodic Eigendecomposition and Its Application to Kuramoto--Sivashinsky System
• Convective Lyapunov spectra
• Uniform tiling with electrical resistors
• Representations for real numbers and their ergodic properties
• The cat maps: quantum mechanics and classical motion
• Computing the Continuous Discretely
• Ihara Zeta Functions of Infinite Weighted Graphs
• Recycling of strange sets: I. Cycle expansions
• Hill's formula
• Symplectic maps, variational principles, and transport
• Dynamical properties of plane polynomial automorphisms
• Analytical solution of the generalized discrete Poisson equation
• Spatiotemporal chaos in terms of unstable recurrent patterns
• Equations for periodic solutions of a logistic difference equation
• On the stability of periodic orbits of two-dimensional mappings
• Nielsen Numbers of Maps of Tori
• Analytical inversion of symmetric tridiagonal matrices
• The torus parametrization of quasiperiodic LI-classes
• Trace formulae for stochastic evolution operators: smooth conjugation method
• The zeta function of the beta transformation
• Symbolic dynamics and periodic orbits of the Lorenz attractor*
• Towards a statistical mechanics of spatiotemporal chaos
• Computing Periodic Orbits and their Bifurcations with Automatic Differentiation
• Periodic orbits in coupled Hénon maps: Lyapunov and multifractal analysis
• Homoclinic points of 2D and 4D maps via the parametrization method
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• Spacetime chaos in coupled map lattices
• Chaos in Dynamical Systems
• Homoclinic orbits of invertible maps
• Topological Crystallography
• Characterization of unstable periodic orbits in chaotic attractors and repellers

This page was built for publication: A chaotic lattice field theory in one dimension*