2016
DOI: 10.1007/978-3-662-52927-0_4
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Li–Yorke Chaos in Perturbed Rational Difference Equations

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Cited by 3 publications
(1 citation statement)
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“…Then, we prove the existence of Li-Yorke chaos in such a region by finding the snap-back repeller using a similar technique to that in [15]. One should mention that Li-Yorke chaos is common for many polynomial and rational systems of difference equations (see [16][17][18]), with the simplest and oldest being Hénon's map and system (see [4]). The techniques of rigorous proofs of chaos in dimensions higher than one are often based on Theorem 1.…”
Section: Theorem 1 ([2]mentioning
confidence: 92%
“…Then, we prove the existence of Li-Yorke chaos in such a region by finding the snap-back repeller using a similar technique to that in [15]. One should mention that Li-Yorke chaos is common for many polynomial and rational systems of difference equations (see [16][17][18]), with the simplest and oldest being Hénon's map and system (see [4]). The techniques of rigorous proofs of chaos in dimensions higher than one are often based on Theorem 1.…”
Section: Theorem 1 ([2]mentioning
confidence: 92%