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1063 papers in math.DS · page 13
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Bounded solutions force Re(s) = 1/2 under rotation hypothesis
Rigidity and Structural Asymmetry of Bounded Solutions
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Bounded solutions force Re(s) to 1/2 under rotation hypothesis
Rigidity and Structural Asymmetry of Bounded Solutions
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Perturbations unlock dimensions of self-affine fractals
The Dimension of Integral Self-Affine Sets via Fractal Perturbations: The Box and the Hausdorff Dimensions, Ergodic Measures
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Dissipative model conserves angular momentum in N-body systems
An angular-momentum preserving dissipative model for the point-mass N -body problem
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Geometric proof shows exponentially small splitting in zero-Hopf unfolding
A geometric approach to exponentially small splitting: The generic zero-Hopf bifurcation of co-dimension two
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Finite smooth words are exactly the factors of infinite ones
The complexity of finite smooth words over binary alphabets
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Neural oscillator bounds grow polynomially with size and time
Upper Generalization Bounds for Neural Oscillators
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Canonical extension covers future cover of sofic shifts
The extended future cover of a sofic shift
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Lax pairs tame IVPs but permit irregular IBVP dynamics
Lax Pairs: Integrable, Less Integrable and Nonintegrable Systems
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The paper runs ~10^14 experiments on the Collatz map and applies 29 mathematical…
Exploring Collatz Dynamics with Human-LLM Collaboration
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Geometric separatrix indicator scales with bloom transition times
Geometric early warning indicator from stochastic separatrix structure in a random two-state ecosystem model
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Stochastic model keeps energy systems positive and stable under noise
Analysis of a Stochastic Energy Supply and Demand Model with Renewable Integration
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Analytic quasiperiodic operators localize on Z^d
Anderson localization and H\"older continuity of the integrated density of states for analytic quasiperiodic Schr\"odinger operators
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CRN generalization of next generation matrix aids ODE stability
A cocktail of chemical reaction networks and mathematical epidemiology tools for positive ODE stability problems
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Koopman resolvent yields frequency response for nonlinear systems
On Koopman Resolvents and Frequency Response of Nonlinear Systems
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q-Rationals Correspond to Circles in Deformed Farey Triangulation
Plane geometry of $q$-rationals and Springborn Operations
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Symmetries transitive on most Markoff solutions mod density-one primes
Strong Approximation for the Character Variety of the Four-Times Punctured Sphere
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Lubin's conjecture holds for height-one p-adic pairs over cyclo-tame extensions
Lubin's conjecture for height-one $p$-adic dynamical systems over cyclo-tame extensions
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New theorem shows gradient descent avoids saddles with vanishing steps
A non-autonomous center-stable set theorem for saddle avoidance in optimization
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Weights control chaos for backward shifts on Fréchet spaces
Distributional and mean Li-Yorke chaos for weighted shifts on Fr\'echet sequence spaces
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Kernel LMI with Riccati constraint approximates nonlinear HJB
Kernel-Based LMI Approaches to Solving the Hamilton-Jacobi-Bellman Equation and Nonlinear Optimal Control
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Algorithm reduces incommensurate fractional stability to linear algebra
A Stability Testing Algorithm for Incommensurate Fractional Differential Equation Systems
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AI agent populations reach equilibrium and generate endogenous cycles
Agentic Hives: Equilibrium, Indeterminacy, and Endogenous Cycles in Self-Organizing Multi-Agent Systems
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Resource model always converges to one explicit equilibrium
Mean-field dynamics of attractive resource interaction: From uniform to aggregated states
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Conditions make three-input flat systems linearizable after prolongations
On the Linearization of Flat Multi-Input Systems via Prolongations
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Graph of lobe sequences yields low-energy Earth-Moon transfers
Design of low-energy transfers in cislunar space using sequences of lobe dynamics
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Cantor sets gain stable intersections above dimension sum d
Cantor sets in higher dimensions II: Optimal dimension constraint for stable intersections
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Comet orbits continue from Keplerian motions in Earth-Moon CR3BP
Comet-type periodic motions and their out-of-plane bifurcations in the Earth-Moon CR3BP: a computational symplectic analysis
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Stochastic heat invariants match bounded harmonic functions
Martin Boundary and the Nonlinear Multiplicative Stochastic Heat Equation in Weak Disorder
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Earlier papers already introduced symplectic bipotentials
Comments on Symplectic bipotentials arXiv:2410.23122
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Time-varying models reach fixed-time solutions for mixed inequalities
Fixed-Time Convergence of Time-Varying Neurodynamic Systems for Mixed Variational Inequalities
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Neurodynamic models reach solutions in preset time
A Predefined-Time Neurodynamic Approach with Time-Varying Coefficients for Mixed Variational Inequalities and Applications
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Cusp bifurcation bounds stable states in thermohaline model
Cusp Bifurcation in Conceptual Thermohaline Circulation Model
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Surface diffeos entropy equals integrated stretch growth
Entropy formula for surface diffeomorphisms
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Oblique wave interactions generate streaks captured by resolvent singular functions
From oblique-wave forcing to streak reinforcement: A perturbation-based frequency-response framework
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Split self-maps obey dynamical Mordell-Lang on curve products
Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve
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Starshaped polytopes force positive entropy on all Reeb smoothings
Polytopes and $C^0$-Riemannian metrics with positive $h_{\rm top}$
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Scaling map on complexity space is expansive iff factor ≠1
Expansive homeomorphisms on complexity quasi-metric spaces
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Category theory yields non-metric invariants for chaos from data
Functorial invariants for chaos topology from data
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Daily fish migration less randomized than intraday
Multiple timescales in collective motion: daily and intraday upstream fish migration focusing on Feller condition
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Nonlinear graph control yields exponential decay of node sensitivities
Decaying Sensitivity of the Zero Solution for a Class of Nonlinear Optimal Control Problems
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3D Anosov flows realize Teichmüller space as product of two function spaces
The Teichm\"uller Space of a 3-Dimensional Anosov Flow
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Analytic magnetic systems admit only finitely many closed hypersurfaces
Finiteness of Totally Magnetic Hypersurfaces
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Smooth circle map puts physical measure on repelling point
Smooth Circle Covering with a Physical Measure on a Hyperbolic Repelling Fixed Point
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Rank one systems achieve infinite sequence entropy
Sequence entropy of rank one systems
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Periodic center manifold reduces forced DDE bifurcations
Center Manifolds and Normal Forms for Nonlinearly Periodically Forced DDEs
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New dimension captures every known barrier to shift embedding
A new notion of dimension for dynamical systems and shift embeddability
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Genetic algorithm finds extreme arithmetic dynamics examples
A Genetic Algorithm for Generating Extreme Examples in Arithmetic Dynamics
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0-persistence exponent stably measures chaos from time series
A Stable Measure of Chaos in Dynamical Systems using Persistent Homology
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Really perverse central configs exist in 3D for N=27-55
Existence of Really Perverse Central Configurations in the Spatial $N$-Body Problem