Tipping in complex systems under fast variations of parameters

DOI10.1063/5.0162503zbMATH Open1544.34112MaRDI QIDQ6550720

R. I. Sujith, P. R. Midhun, Induja Pavithran

Publication date: 5 June 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control problems involving ordinary differential equations (34H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Chaos control for problems involving ordinary differential equations (34H10)

Cites Work

• Tipping elements in the Earth's climate system
• Excitability in ramped systems: the compost-bomb instability
• Sensitivity and Nonlinearity of Thermoacoustic Oscillations
• The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance
• Rate-induced transitions and advanced takeoff in power systems
• APPLICATION OF SECONDARY BIFURCATIONS TO LARGE-AMPLITUDE LIMIT CYCLES IN MECHANICAL SYSTEMS
• Rate-induced tipping: thresholds, edge states and connecting orbits

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