The use of manifold tangencies to predict orbits, bifurcations and estimate escape in driven systems.

DOI10.1016/S0960-0779(96)00023-9zbMath1080.37577OpenAlexW2074434936WikidataQ58642152 ScholiaQ58642152MaRDI QIDQ815595

M. J. Clifford, Steven R. Bishop

Publication date: 17 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(96)00023-9

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (5)

Fractal basin boundaries and escape dynamics in a multiwell potential ⋮ Hierarchy of bifurcations in the truncated and forced nonlinear Schrödinger model ⋮ Comparisons between the pendulum with varying length and the pendulum with oscillating support ⋮ Influence of nonlinearity on transition curves in a parametric pendulum system ⋮ Rotating orbits of a parametrically-excited pendulum

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