Scaling properties and renormalization invariants for the ``homoclinic quasiperiodicity
From MaRDI portal
Publication:1312457
DOI10.1016/0167-2789(93)90289-DzbMath0783.58054OpenAlexW2048501800MaRDI QIDQ1312457
Publication date: 9 February 1994
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(93)90289-d
Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamic critical phenomena in statistical mechanics (82C27)
Related Items
A formula for the boundary of chaos in the lexicographical scenario and applications to the bifurcation diagram of the standard two parameter family of quadratic increasing-increasing Lorenz maps, Necessary and sufficient conditions of full chaos for expanding Baker-like maps and their use in non-expanding Lorenz maps, Dual star products and symbolic dynamics of Lorenz maps with the same entropy, A computer verification for the value of the Topological Entropy for some special subshifts in the Lexicographical Scenario, Asymptotics of scaling parameters for period-doubling in unimodal maps with asymmetric critical points, Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps, The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications, Fractal Fourier spectra of Cherry flows, Influence of noise on dynamics with fractal Fourier spectra
Cites Work
- Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
- Two mechanisms of the transition to chaos in finite-dimensional models of convection
- The Lorenz equations: bifurcations, chaos, and strange attractors
- On the structure of the family of Cherry fields on the torus
- The gluing bifurcation: I. Symbolic dynamics of closed curves
- Irrational rotation numbers
- Chaotic Behavior in Piecewise Continuous Difference Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
