On non-smooth pitchfork bifurcations in invertible quasi-periodically forced 1-D maps

DOI10.1080/10236198.2017.1331889zbMath1426.37044OpenAlexW2702872518MaRDI QIDQ5243415

Francisco Javier Muñoz-Almaraz, Joan Carles Tatjer, Àngel Jorba

Publication date: 18 November 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10637/10710

zbMATH Keywords

reducibilityNewton methodsymmetric invariant curves

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

The existence of strange nonchaotic attractors in the quasiperiodically forced Ricker family

Cites Work

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• On the Computation of Reducible Invariant Tori on a Parallel Computer
• Quasiperiodically forced interval maps with negative Schwarzian derivative
• On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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