Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez-Schopf delayed oscillator and the irregularity of ENSO

DOI10.1016/j.physd.2023.133653OpenAlexW4313898397MaRDI QIDQ2683599

Andrey Romanov, Mikhail Anikushin

Publication date: 14 February 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.11711

zbMATH Keywords

homoclinic orbitsinertial manifoldshidden oscillationsperiodically forced oscillatordelayed oscillator

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items (1)

Frequency theorem and inertial manifolds for neutral delay equations

Uses Software

• JiTCDDE
• JiTCODE
• JiTCSDE

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