Doubling bifurcations of destroyed \(\mathbb{T}^ 2\) tori

DOI10.1016/0167-2789(95)00273-1zbMath0890.58064OpenAlexW2067063419MaRDI QIDQ1912484

Jean-Marie Wersinger, Edward E. Slaminka, James J. jun. Stagliano

Publication date: 7 May 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00273-1

zbMATH Keywords

torusbifurcationsDuffing oscillatorsperiodic doubling

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• Unnamed Item
• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Strange attractors that are not chaotic
• Universal transition in a dynamical system forced at two incommensurate frequencies
• Quasiperiodically forced dynamical systems with strange nonchaotic attractors
• On chaos and fractal behavior in a generalized Duffing's system
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• The birth of strange nonchaotic attractors
• Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
• Doubling of Torus
• An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation
• Roads to turbulence in dissipative dynamical systems
• A nonlinear oscillator with a strange attractor
• A magnetoelastic strange attractor
• Ergodic theory of chaos and strange attractors