<HashMap><database>biostudies-literature</database><scores/><additional><submitter>Sahin H</submitter><funding>Ministry of Education (MOE) Tier-I FRC</funding><funding>Ministry of Education (MOE) Tier-II</funding><pagination>e03216</pagination><full_dataset_link>https://www.ebi.ac.uk/biostudies/studies/S-EPMC12302580</full_dataset_link><repository>biostudies-literature</repository><omics_type>Unknown</omics_type><volume>12(28)</volume><pubmed_abstract>The erratic nature of chaotic behavior is thought to erode the stability of periodic behavior, including topological oscillations. However, it is discovered that in the presence of chaos, non-trivial topology not only endures but also provides robust protection to chaotic dynamics within a topological lattice hosting non-linear oscillators. Despite the difficulty in defining topological invariants in non-linear settings, non-trivial topological robustness still persists in the parametric state of chaotic boundary oscillations. This interplay between chaos and topology is demonstrated by incorporating chaotic Chua's circuits into a topological Su-Schrieffer-Heeger (SSH) circuit. By extrapolating from the linear limit to deep into the non-linear regime, it is found that distinctive correlati</pubmed_abstract><journal>Advanced science (Weinheim, Baden-Wurttemberg, Germany)</journal><pubmed_title>Protected Chaos in a Topological Lattice.</pubmed_title><pmcid>PMC12302580</pmcid><funding_grant_id>MOE-T2EP50121-0014</funding_grant_id><funding_grant_id>A-8000195-01-00</funding_grant_id><funding_grant_id>A-8002656-00-00</funding_grant_id><funding_grant_id>MOE-T2EP50222-0003</funding_grant_id><pubmed_authors>Sahin H</pubmed_authors><pubmed_authors>Akgun H</pubmed_authors><pubmed_authors>Lee CH</pubmed_authors><pubmed_authors>Kong JF</pubmed_authors><pubmed_authors>Siu ZB</pubmed_authors><pubmed_authors>Rafi-Ul-Islam SM</pubmed_authors><pubmed_authors>Jalil MBA</pubmed_authors></additional><is_claimable>false</is_claimable><name>Protected Chaos in a Topological Lattice.</name><description>The erratic nature of chaotic behavior is thought to erode the stability of periodic behavior, including topological oscillations. However, it is discovered that in the presence of chaos, non-trivial topology not only endures but also provides robust protection to chaotic dynamics within a topological lattice hosting non-linear oscillators. Despite the difficulty in defining topological invariants in non-linear settings, non-trivial topological robustness still persists in the parametric state of chaotic boundary oscillations. This interplay between chaos and topology is demonstrated by incorporating chaotic Chua's circuits into a topological Su-Schrieffer-Heeger (SSH) circuit. By extrapolating from the linear limit to deep into the non-linear regime, it is found that distinctive correlati</description><dates><release>2025-01-01T00:00:00Z</release><publication>2025 Jul</publication><modification>2026-03-27T16:02:47.991Z</modification><creation>2025-08-27T03:06:56.7Z</creation></dates><accession>S-EPMC12302580</accession><cross_references><pubmed>40391848</pubmed><doi>10.1002/advs.202503216</doi></cross_references></HashMap>