Local and global approaches to the problem of Poincaré recurrences. Applications in nonlinear dynamics
DOI10.1016/j.physrep.2015.05.004zbMath1357.37023OpenAlexW634834884MaRDI QIDQ516595
Yaroslav I. Boev, Galina I. Strelkova, Vadim S. Anishchenko, Nadezhda I. Semenova
Publication date: 14 March 2017
Published in: Physics Reports (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physrep.2015.05.004
dimensionfluctuationsrecurrencesynchronizationrotation numberstochastic resonancecircle mapAfraimovich-Pesin dimension
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (2)
Uses Software
Cites Work
- 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
- Statistics of Poincaré recurrences in local and global approaches
- Where to place a hole to achieve a maximal escape rate
- Statistical properties of Poincaré recurrences and Afraimovich-Pesin dimension for the circle map
- Advanced synergetics. Instability hierarchies of self-organizing systems and devices
- Correlation properties of dynamical chaos in Hamiltonian systems
- Stochastic resonance in chaotic systems
- Noisy one-dimensional maps near a crisis. II: General uncorrelated weak noise
- Recurrence times and rates of mixing
- Cascading synchronized chaotic systems
- Dimensions for recurrence times: topological and dynamical properties
- Recurrence, dimensions, and Lyapunov exponents.
- Stock market dynamics
- Statistics of Poincaré recurrences for a class of smooth circle maps
- Statistics of return times: A general framework and new applications
- Chaos, fractional kinetics, and anomalous transport
- Spectra of dimensions for Poincaré recurrences
- Pointwise dimensions for Poincaré recurrences associated with maps and special flows
- Diagnostics of stochastic resonance using Poincaré recurrence time distribution
- Nonlinear dynamics of electronic systems. 22nd international conference, NDES 2014, Albena, Bulgaria, July 4--6, 2014. Proceedings
- An equation for continuous chaos
- Deterministic nonlinear systems. A short course
- Poincaré recurrence statistics as an indicator of chaos synchronization
- Poincar'e Recurrences in the Circle Map: Fibonacci Stairs
- Hyperbolic Chaos
- Which hole is leaking the most: a topological approach to study open systems
- On the Time to Extinction in Recurrent Epidemics
- SYNCHRONIZATION OF CHAOS
- Controlling chaos
- Local dimensions for Poincaré recurrences
- Fibonacci stairs and the Afraimovich-Pesin dimension for a stroboscopic section of a nonautonomous van der Pol oscillator
- Poisson law for Axiom A diffeomorphisms
- A note on the recurrence of yellow fever epidemics in urban populations
- Pesin’s dimension for Poincaré recurrences
- Synchronization in chaotic systems
- Topological Entropy
- FRACTAL DIMENSION FOR POINCARÉ RECURRENCES AS AN INDICATOR OF SYNCHRONIZED CHAOTIC REGIMES
- Recurrence time statistics for finite size intervals
- Brownian motion in a field of force and the diffusion model of chemical reactions
- Rational approximations to algebraic numbers
- Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
- Statistical characteristics of the Poincaré return times for a one-dimensional nonhyperbolic map
This page was built for publication: Local and global approaches to the problem of Poincaré recurrences. Applications in nonlinear dynamics
