“…In voiced sound production by vertebrates, the most common low-dimensional attractors are the fixed point (a constant value), limit cycle (any periodic oscillation, such as pure tones and harmonic stacks), torus (e.g., amplitude modulated sounds), and chaotic attractor (“noisy” sounds) (Wilden et al, 1998; Fitch et al, 2002). The attractors underlying voiced sound leave characteristic signatures in spectrograms and therefore spectrographic evidence has been used to identify phenomena of LDC in the vocalizations of the zebra finch (Fee et al, 1998) and several other bird species (Nowicki and Capranica, 1986; Fletcher, 2000; Baker and Logue, 2003; Beckers and ten Cate, 2006; Zollinger et al, 2008), as well as frogs (Suthers et al, 2006), humans, and other mammals (Fachini et al, 2003; Herzel et al, 1995; Mann et al, 2006; Riede et al, 2000; Svec et al, 1996; Titze et al, 1993; Tokuda et al, 2008; Tyson et al, 2007), and one insect (Benko and Perc, 2007). Although spectrographic representation of sound is indeed helpful in identifying potential candidates, only more detailed analysis, such as close-return (CR) plots and phase-space embedding, allow unambiguous identification (Titze et al, 1993; Herzel et al, 1995; Svec et al, 1996; Fletcher, 2000; Riede et al, 2000; Fachini et al, 2003; Mann et al, 2006; Tyson et al, 2007; Tokuda et al, 2008).…”