RT Journal Article
T1 Chaotic resetting: a resetting strategy for deterministic chaotic systems
A1 Cantisán Gómez, Julia
A1 Nieto, Alexandre R.
A1 Seoane, Jesús M.
AB Restarting a stochastic search process can accelerate its completion by providing an opportunity to take a more favorable path with each reset. This strategy, known as stochastic resetting, is well studied in random processes. Here, we introduce chaotic resetting, a fundamentally different resetting strategy designed for deterministic chaotic systems. Unlike stochastic resetting, where randomness is intrinsic to the dynamics, chaotic resetting exploits the extreme sensitivity to initial conditions inherent to chaotic motion: unavoidable uncertainties in the reset conditions effectively generate new realizations of the deterministic process. This extension is nontrivial because some realizations may significantly speed up the search, while others may significantly slow it down.We study the conditions required for chaotic resetting to be consistently advantageous, concluding that it requires the presence of amixed phase space in which fractal and smooth regions coexist.We quantify its effectiveness by demonstrating substantial reductions –ranging from 40% to 90%– in average search times when an optimal resetting interval is used. These results establish a clear conceptual bridge between deterministic chaos and search  optimization, opening new avenues for accelerating processes in real-world chaotic systems where perfect control or knowledge of initial conditions is unattainable.
PB Springer
SN 0924-090X
SN 1573-269X (electrónico)
YR 2026
FD 2026
LK https://hdl.handle.net/10272/28184
UL https://hdl.handle.net/10272/28184
LA eng
NO Cantisán, J., Nieto, A. R., & Seoane, J. M. (2026). Chaotic resetting: a resetting strategy for deterministic chaotic systems. Nonlinear Dynamics, 114(5). https://doi.org/10.1007/s11071-026-12222-3
NO Funding for open access publishing: Universidad deHuelva/CBUA This work has been financially supported by MCIN/AEI/-10.13039/501100011033 and by “ERDF A way of making Europe” (Grant No. PID2023-148160NB-I00).
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026