Defining chaos
From MaRDI portal
Publication:4591756
DOI10.1063/1.4922973zbMath1374.37002arXiv1501.07896OpenAlexW4233268102WikidataQ53192986 ScholiaQ53192986MaRDI QIDQ4591756
Publication date: 17 November 2017
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.07896
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01)
Related Items
Final state sensitivity in noisy chaotic scattering, Chaos in a Discrete Cancer Model, Modeling chaotic systems: dynamical equations vs machine learning approach, Distinguishing between regular and chaotic orbits of flows by the weighted Birkhoff average, On the dynamics of the damped extensible beam 1D-equation, Multichaos from Quasiperiodicity, Beyond Wilson-Cowan dynamics: oscillations and chaos without inhibition, Basin Entropy, a Measure of Final State Unpredictability and Its Application to the Chaotic Scattering of Cold Atoms, Hidden Attractor in a Passive Motion Model of Compass-Gait Robot, Dynamical analysis of bounded and unbounded orbits in a generalized Hénon-Heiles system, Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator, How can we describe density evolution under delayed dynamics?, Chaos: From theory to applications for the 80th birthday of Otto E. Rössler, Design of heterogeneous time-lags system with multi-stability and its analog circuit
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Entropy of a differentiable map
- Shift automorphisms in the Henon mapping
- The infinite number of generalized dimensions of fractals and strange attractors
- What is a chaotic attractor?
- Dimensions and entropies of strange attractors from a fluctuating dynamics approach
- Fractal basin boundaries
- On the concept of attractor
- Repellers, semi-attractors, and long-lived chaotic transients
- Entropy formula for random transformations
- Volume growth and entropy
- Dimension formula for random transformations
- An upper estimation for topological entropy of diffeomorphisms
- Chaotic transport in dynamical systems
- Phase synchronization of chaotic oscillators by external driving
- Lagrangian coherent structures and mixing in two-dimensional turbulence
- On the estimation of topological entropy
- Transient chaos. Complex dynamics in finite-time scales
- Entropy and volume
- Entropy of piecewise monotone mappings
- On Devaney's Definition of Chaos
- Period Three Implies Chaos
- An integral formula for topological entropy of $C^{\infty}$ maps
- Transition to chaos for random dynamical systems
- Deterministic Nonperiodic Flow
- Crises, sudden changes in chaotic attractors, and transient chaos
- Topological Entropy
- Periodic Points and Measures for Axiom a Diffeomorphisms
- Entropy for Group Endomorphisms and Homogeneous Spaces
- Rigorous computation of topological entropy with respect to a finite partition
