Universal transition in a dynamical system forced at two incommensurate frequencies
From MaRDI portal
Publication:1080681
DOI10.1016/0167-2789(84)90443-3zbMath0599.70036OpenAlexW2098625667MaRDI QIDQ1080681
James P. Sethna, Eric D. Siggia
Publication date: 1984
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(84)90443-3
stable curvescalingtransition to chaoschaotic statetornado like attractorlow- frequency power spectramode locked statemulticritical parameter valuesrenormalisation group treatmentsaddle-node transitionstable invariant curveunstable invariant curve
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Bifurcations and instability for nonlinear problems in mechanics (70K50)
Related Items
Quasiperiodically forced dynamical systems with strange nonchaotic attractors, The nonlinear dynamics of the damped and driven Toda chain. II: Fourier and Lyapunov analysis of tori, Doubling bifurcations of destroyed \(\mathbb{T}^ 2\) tori, A new route to chaos: Sequences of topological torus bifurcations, Intermittency and strange nonchaotic attractors in quasi-periodically forced circle maps., Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos, Strange attractors that are not chaotic
Cites Work
- Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
- Renormalization group analysis of bifurcations in area-preserving maps
- Geometry and topology. III. Latin American School of Mathematics. Proceedings of the school held at the Instituto de Matematica Pura e Aplicada CNPq, Rio de Janeiro, July 1976
- Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
- Critical Behavior of a KAM surface. I: Empirical results
