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Hyperbolic-like Properties of Popp's Attractor

We compare typical properties of the hyperbolic and quasi-hyperbolic attractors with the properties of the particular attractor observed in the classical dry friction oscillator excited by external harmonic drive [Popp & Stelter, 1990a; Hinrichs et al., 1998; Oestreich et al., 1996]. Our analysis shows that the main common feature of these attractors is their structural stability (in spite of their chaotic nature), which is manifested by a low sensitivity of system dynamics and the structure of the phase-space for changes of parameters in differential equations.