51 citations · 80 across the 7 of their papers we have counts for
5 papers · 1 filter
Singular basins in multiscale systems: tunneling between stable states
Serhiy Yanchuk, Sebastian Wieczorek, Hildeberto Jardón-Kojakhmetov +1
Real-world systems often evolve on different timescales and possess multiple coexisting stable states. Whether or not a system returns to a given stable state after being perturbed…
Pace in Concert with Phase: Rate-induced Phase-tipping in Birhythmic Oscillators
Ravi Kumar K, Hassan Alkhayuon, Sebastian Wieczorek +1
We study rate-induced phase-tipping (RP-tipping) between two stable limit cycles of a birhythmic oscillator. We say that such an oscillator RP-tips when a time variation of an inpu…
Rate-induced biosphere collapse in the Daisyworld model
Constantin W. Arnscheidt, Hassan Alkhayuon
There is much interest in the phenomenon of rate-induced tipping, where a system changes abruptly when forcings change faster than some critical rate. Here, we demonstrate and anal…
Phase tipping: How cyclic ecosystems respond to contemporary climate
Hassan Alkhayuon, Rebecca C. Tyson, Sebastian Wieczorek
We identify the phase of a cycle as a new critical factor for tipping points (critical transitions) in cyclic systems subject to time-varying external conditions. As an example, we…
Weak tracking in nonautonomous chaotic systems
Hassan Alkhayuon, Peter Ashwin
Previous studies have shown that rate-induced transitions can occur in pullback attractors of systems subject to "parameter shifts" between two asymptotically steady values of a sy…