Abstract
A dynamical system (DS) displays its nonlinear properties in different ways with variation of system control parameters. An increase in the influence of nonlinearity causes the dynamical regime to become 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 parameter space, one can observe a set of bifurcations resulting in the appearance of a chaotic attractor. Such typical bifurcation sequences are called the bifurcation mechanisms, or the scenarios of the transition to chaos.
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Anishchenko, V.S., Astakhov, V., Vadivasova, T., Neiman, A., Schimansky-Geier, L. (2007). Dynamical Chaos. In: Nonlinear Dynamics of Chaotic and Stochastic Systems. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38168-6_2
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