arXiv Open Access 2023

Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology

Jesús Dueñas Iacopo P. Longo Rafael Obaya

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Abstrak

This paper investigates biological models that represent the transition equation from a system in the past to a system in the future. It is shown that finite-time Lyapunov exponents calculated along a locally pullback attractive solution are efficient indicators (early-warning signals) of the presence of a tipping point. Precise time-dependent transitions with concave or d-concave variation in the state variable giving rise to scenarios of rate-induced tracking are shown. They are classified depending on the internal dynamics of the set of bounded solutions. Based on this classification, some representative features of these models are investigated by means of a careful numerical analysis.

Topik & Kata Kunci

math.DS

Penulis (3)

Jesús Dueñas

Iacopo P. Longo

Rafael Obaya

Format Sitasi

APA MLA BibTeX

Dueñas, J., Longo, I.P., Obaya, R. (2023). Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology. https://arxiv.org/abs/2305.14136

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓