Lack of predictability in dynamical systems with drift: scaling of indeterminate saddle-node bifurcations

DOI10.1016/J.PHYSLETA.2003.09.075zbMath1039.37027OpenAlexW2012030645MaRDI QIDQ1413456

Helena E. Nusse, Romulus Breban, Edward Ott

Publication date: 16 November 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.09.075

zbMATH Keywords

periodic orbitfractal basin boundary structurepre-bifurcation node attractor

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (3)

Controlling systems that drift through a tipping point ⋮ Control of the nonlinear oscillator bifurcation under a superharmonic resonance ⋮ SADDLE-NODE BIFURCATION AND ITS CONTROL OF BURGERS–KdV EQUATION

Cites Work

• Unnamed Item
• Unpredictable behavior in the Duffing oscillator: Wada basins
• Fractal basin boundaries
• Wada basin boundaries and basin cells
• Indeterminate jumps to resonance from a tangled saddle-node bifurcation
• Chaos in Dynamical Systems
• Elements of applied bifurcation theory

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