English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This article confronts the formidable task of exploring chaos within hiddenattractors in nonlinear 3-D autonomous systems, highlighting the lack ofestablished analytical and numerical methodologies for such investigations. Asthe basin of attraction does not touch the unstable manifold ,there are nostraightforward numerical processes to detect those attractors and one has toimplement special numerical-analytical strategy.In this article we present analternative approach that allows us to predict the basin of attractionassociated with hidden attractors, overcoming the existing limitations. Themethod discussed here based on KCC theory (Kosambi-Cartan-Chern) which enableus to conduct a comprehensive theoretical analysis by means of evaluatinggeometric invariants and instability exponents, thereby delineating the regionsencompassing chaotic and periodic zones. Our analytical predictions arethoroughly validated by numerical results.

Kosambi-Cartan-Chern (KCC) Perspective on Chaos: Unveiling Hidden Attractors in Nonlinear Autonomous Systems