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Every paper Pith has read. Search by title, abstract, or pith.
1063 papers in math.DS · page 1
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Delays above explicit threshold trigger limit cycles in two-gene oscillator
Sustained Limit Cycles in the Logistic Two-Gene Genetic Oscillator: A Delay-Driven Hopf Bifurcation
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Activation optimization improves randomized nets for operator approximation
Optimization of randomized neural networks for transfer operator approximation
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Lattice admits bounded non-colliding velocities but continuous fields on the plane cannot
Non-colliding billiards in the plane
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Slow fishing rise triggers abrupt reef collapse
Rate-induced tipping in a coral reef ecosystem: A slow increase in fishing effort can induce reef collapse
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Anchored distance arrays detect Furstenberg disjointness exactly
Observing Joinings: A Distance-Array Characterization of Furstenberg Disjointness
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Uniqueness of global solutions for lattice stochastic heat equation
On global solutions to the semidiscrete stochastic heat equation
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Non-exponential dichotomies irrelevant for compact skew-products
Dichotomies Faster or Slower than exponential are Irrelevant for Skew-Product Flows
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Crime model with delay shows periodic solutions from average enforcement
Delay-induced dynamics in a nonlinear crime interaction model with periodic forcing
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Polynomial return sets syndetic iff polynomials linearly independent
Sets of large values of polynomial multi-correlation functions
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Kuramoto flow fully described by Morse theory
Global analysis of the Kuramoto flow
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Minimal non-uniform CA need not be sensitive
Minimality, transitivity and sensitivity of non-uniform cellular automata
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Framework uncovers hidden pathways to extreme events from partial data
Mechanisms and Pathways of Extreme Events in Partially-Observed Stochastic Dynamical Systems
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Data-driven SSMs reduce delayed systems to ODEs without knowing delays
Data-Driven Reduced Modeling of Delayed Dynamical Systems via Spectral Submanifolds
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Commuting entire functions share escaping and Julia sets
Equality of the dynamical sets of two commuting transcendental entire functions
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KAN neural ODE recovers exact symbolic equations for holomorphic fractals
Holomorphic Neural ODEs with Kolmogorov-Arnold Networks for Interpretable Discovery of Complex Dynamics
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Analytic criteria split stability regions in pantograph delay equations
Stability Analysis of Pantograph Delay Differential Equations
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Billiard paths compute optimal mower radius and length in square
Billiard Lawn Mowers
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Shadow attractor from debris data lets policies be simulated
System Level Analysis and Management of Orbital Debris Using Empirical Dynamic Modeling
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Economic networks show only intermittent synchronization
GDP-Driven Structural and Dynamical Heterogeneity in the Synchronization of Chaotic Macroeconomic Networks
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Fixed-denominator rationals almost all reach integers under T
Rational dynamics of a prime-representing map
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Minimal C² actions of Thompson T on circle are Lebesgue ergodic
Ergodicity of $C^2$ minimal actions of Thompson group $T$ on the circle
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Directed landscape Martin boundary equals horofunction boundary
The Martin boundary of the Directed Landscape
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Large learning rates alter transformer attractors to cycles and chaos
Large-Step Training Dynamics of a Two-Factor Linear Transformer Model
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Dense rotations yield stable ergodicity on spheres in every dimension
Ergodicity of (co)expanding on average random dynamical systems
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Algebraic actions mix exponentially at all orders with explicit rates
Multiple mixing and multiple fractional cohomological equation: semisimple setting
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Romik map yields continued fraction using only digits 0
A strange continued fraction associated with the Romik map
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Ergodic measures exist at every intermediate entropy for Z^d systems
Ergodic measures of intermediate entropies for $\mathbb{Z}^{d}$-action
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Numerical evidence supports conjectures on Siegel disk boundary smoothness
Boundaries of Siegel Disks for Conservative Systems
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Artin groups allow action simulations without disconnecting cliques
Self-simulability of graph products
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Same Julia set implies common iterate for Hénon-Sibony maps
Rigidity of the Julia set for H\'enon-Sibony maps
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Normal form with poles at resonances beats Birkhoff
The Hamiltonian Normal Form
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Randomized Chirikov map mixes exponentially almost surely
Quantitative exponential mixing for the randomized Chirikov standard map
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Weak-form latent models cut PDE optimization time by five orders
Time-Dependent PDE-Constrained Optimization via Weak-Form Latent Dynamics
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Any concave spectrum realized exactly by some continuous potential
Complete realization of multifractal entropy spectra
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Adaptive weights speed consensus in dense networks
A Bounded-Confidence Model of Opinion Dynamics with Adaptive Interaction Probabilities
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Adaptive edge weights speed opinion convergence on dense networks
A Bounded-Confidence Model of Opinion Dynamics with Adaptive Interaction Probabilities
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Linearization theorems follow directly from renormalization foliation
Rotation domains for maps of bounded type
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Generic analytic convex billiards have transverse manifold intersections
Chaoticity of generic analytic convex billiards
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PINNs with constraints recover epidemic dynamics from sparse data
Constraint-Aware Physics-Informed Neural Networks for SEIR Reaction-Diffusion Epidemic Models with Vital Dynamics
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Off-centre bars create unequal galactic arms
Arm morphology in off-centre barred galaxies
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Domain cuts let neural operators handle PDE discontinuities
Smooth Piecewise Cutting for Neural Operator to Handle Discontinuities and Sharp Transitions
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Random birational products equidistribute curve preimages
Random products of birational maps: Equidistribution of preimages of curves
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One-dimensional maps produce atypical bifurcation diagrams
Strange bifurcation diagrams
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Small angular momentum destroys invariant curves in breathing billiards
Breaking of invariant curves: from the Fermi-Ulam map to the breathing circle billiard
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KAM tori remain most probable under multiplicative noise
Most Probable KAM Tori in Stochastic Hamiltonian Systems Driven by Multiplicative Noise
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Universal cycles exist for every affine line in AG(n,q)
Universal Cycles on Affine Lines
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Graph-directed attractors become bi-Lipschitz equivalent under conditions
Some topological properties and bi-Lipschitz equivalence of graph-directed attractors
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Odd elasticity allows stable traveling waves in nonlinear lattices
Periodic and quasiperiodic traveling waves in nonlinear lattices with odd elasticity
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Corrected Lyapunov function fixes elk-wolf model stability
Addendum to "Persistence and extinction in an Elk-Wolf prey-predator system with refuge and inter-regional movement. Appl. Math. Comput. 514 (2026) 129834"
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Finite approximations of lattice systems are uniformly dissipative
Approximation of Attractors of Nonautonomous Lattice Dynamical Systems