Abstract
A dynamical system (DS) displays its nonlinear properties in different ways when system control parameters are varied. But as a rule, when the influence of nonlinearity increases, the dynamical regime becomes more complicated. Simple attractors in the phase space of a dissipative system are replaced by more complicated ones. Under certain conditions, nonlinearity can lead to the onset of dynamical chaos. Moving along a relevant direction in the parameter space, a sequence of bifurcations can be observed, resulting in the appearance of a chaotic attractor. Such typical bifurcation sequences are called bifurcation mechanisms, or scenarios of the transition to chaos.
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© 2014 Springer International Publishing Switzerland
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Anishchenko, V.S., Vadivasova, T.E., Strelkova, G.I. (2014). From Order to Chaos: Bifurcation Scenarios (Part I). In: Deterministic Nonlinear Systems. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-06871-8_6
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DOI: https://doi.org/10.1007/978-3-319-06871-8_6
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06870-1
Online ISBN: 978-3-319-06871-8
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