#dynamical systems
8 resultsInvariant predictions of epidemic patterns from radically different forms of seasonal forcing
Irena Papst, David J. D. Earn
The paper demonstrates that the main bifurcations of standard epidemic models are unchanged across different seasonal forcing shapes if the forcing amplitude is properly scaled, en…
Recurrence Network Analysis of Exoplanetary Observables
Tamas Kovacs
The paper applies recurrence network methods from complex systems to both simulated and observed exoplanetary time series, showing that network measures can distinguish different d…
The 3n+1 problem: a partition of interest
Maarten J. Wensink
The paper proposes a way to partition the natural numbers based on a mapping related to the Collatz (3n+1) problem, suggesting that all non‑trivial trajectories pass through specif…
Continued fractions, the Chen-Stein method and extreme value theory
Anish Ghosh, Maxim Kirsebom, Parthanil Roy
The paper studies extreme value statistics of digits in regular continued fraction expansions, providing new upper bounds on convergence rates using probabilistic and ergodic metho…
A primer on noise-induced transitions in applied dynamical systems
Eric Forgoston, Richard O. Moore
The paper surveys theoretical methods for analyzing rare, noise‑induced transitions in stochastic dynamical systems and illustrates these concepts with example applications.
A non-equilibrium theoretical framework for statistical physics with application to turbulent systems and their predictability
Richard Kleeman
The paper presents a variational framework for describing non‑equilibrium statistical systems, extending previous work to autonomous dynamical systems and applying it to turbulence…
Generalized 3x + 1 Mappings : searching for cycles
Robert Tremblay
The paper establishes criteria for when cycles exist in various families of generalized 3x + 1 mappings and presents a method to locate such cycles.
Global Attractors for Hindmarsh-Rose Equations in Neurodynamics
Chi Phan, Yuncheng You, Jianzhong Su
The paper studies the long-term behavior of diffusive Hindmarsh‑Rose equations used in neurodynamics, proving the existence and regularity of global attractors on a bounded 3D doma…