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1063 papers in math.DS · page 17
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Hartman-Grobman theorem now covers asymptotically stable semiflows
A generalized global Hartman-Grobman theorem for asymptotically stable semiflows
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Explicit formulas classify bifurcations of limit cycles in DDEs
Numerical Periodic Normalization at Codim 1 Bifurcations of Limit Cycles in DDEs
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SO(n,1) orbits on lattice pairs converge to semi-invariant measure
Limit distributions for $\text{SO}(n,1)$ action on $k$-lattices in $\mathbb{R}^{n+1}$
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Echo-state networks reproduce rare events in chaotic population models
Using Echo-State Networks to Reproduce Rare Events in Chaotic Systems
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Depth beats shallow when approximation outruns complexity growth
Why and When Deep is Better than Shallow: Implementation-Agnostic State-Transition Model of Deep Learning
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Modified predator-prey model yields up to five limit cycles
A Degenerate Bifurcation Perspective on High Sensitivity in a Modified Gower-Leslie Model with Additive Allee Effect
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Eigenfunctions localize to locate state-dependent cycles
On the structure of complex spectra and eigenfunctions of transfer and Koopman operators
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Aperiodic sequences hit minimal complexity at 2k + ℓ
On the structure of sequences with minimal maximal pattern complexity
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Quenched CLT variance regular for perturbed random intermittent maps
Regularity of the variance in quenched CLT for random intermittent dynamical systems
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Controlled Kuramoto model has exactly 2^n synchronized solutions
Feedback control of the Kuramoto model defined on uniform graphs I: Deterministic natural frequencies
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Homogeneous dynamics gives effective Lévy-Khintchine bounds in all dimensions
L\'{e}vy-Khintchine Theorems: effective results and central limit theorems
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Bruno conditions suffice for positive-measure invariant tori
Fixed point theorems for small divisors problems
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Finite-stabilizer point forces common almost normal stabilizer on residual set
Group actions with almost normal stabilizers
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Thermostats without conjugate points lie inside projectively Anosov ones
On the creation of conjugate points for thermostats
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Conley-Morse barcode tracks combinatorial bifurcations
Conley-Morse persistence barcode: a homological signature of combinatorial bifurcations
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Optimal Anosov perturbation given explicitly by Fourier coefficients
Optimal linear response for Anosov diffeomorphisms
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Translation lengths tie to normal generators in mapping class groups
Normal generators for mapping class groups
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Mean-field transformers synchronize exponentially to a Dirac mass
Quantitative Clustering in Mean-Field Transformer Models
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Dissociation classifies unitary representations of permutation groups
On dissociated infinite permutation groups
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Bers-like slices for algebraic correspondences are bounded
Teichm\"uller spaces, polynomial loci, and degeneration in spaces of algebraic correspondences
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T^3 counterexample separates weak and strong rotation vectors
When Periodicity Fails to Guarantee the Existence of Rotation: A Counterexample on $\mathbb{T}^3$
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Liouville entropy rises strictly along normalized Ricci flow
Monotonicity of the Liouville entropy along the Ricci flow on surfaces
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Two assumptions turn arc unions into fans
Towards the complete classification of fans
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Pseudo-injective polynomials yield fast solutions to P(X)=B
Solving "pseudo-injective" polynomial equations over finite dynamical systems
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Stubborn nodes steer coevolving networks to new consensus
Controlling a Social Network of Individuals with Coevolving Actions and Opinions
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Pure mixing maps achieve any entropy on Gehman dendrite
On entropy of pure mixing maps on dendrites
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Global families of stable orbits link predator bifurcations
Global Continuation of Stable Periodic Orbits in Systems of Competing Predators
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Dynamical Mordell-Lang holds for surface automorphisms in positive char
Dynamical Mordell-Lang problem for automorphisms of surfaces in positive characteristic
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Gauss IFS limit sets satisfy n(1-H_n)/ln n to 6/π²
Asymptotics of the Hausdorff measure for the Gauss map and its linearized analogue
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Non-integer multipliers force finite returns to curves
Height arguments toward the dynamical Mordell-Lang problem in arbitrary characteristic
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Bounded geodesic directions are hyperplane absolute winning from any point
Bounded Geodesics on Locally Symmetric Spaces
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KAM tori persist as most probable paths under noise
Most Probable KAM Tori in Stochastic Hamiltonian Systems
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Mañé value sets blow-up threshold for magnetic Hunter-Saxton system
On Ma\~n\'e's critical value for the two-component Hunter-Saxton system and a infnite dimensional magnetic Hopf-Rinow theorem
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Finite length turns linear relations into shift-equivalent bijections
Linear Relations of Finite Length Modules are Shift Equivalent to Maps
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Sparse gyrostat hierarchies have exactly (M+1)/2 quadratic invariants
Quadratic invariants and Hamiltonian structure in coupled gyrostat low-order model hierarchies
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Negative beta-shifts code only when |beta| exceeds golden ratio
Exchange of Intervals and Intrinsic Ergodicity of the Negative Beta shift
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Path-kernel formula gives linear response for unstable SDEs
Path-Kernel Method for Differentiating Unstable Diffusions
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Cube structures give algebraic proof that RP^[d] is equivalence
Cube structures of the universal minimal system, nilsystems and applications
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β-map transfer operator converges with explicit β^{-k} correction
Sharp iteration asymptotics for transfer operators induced by greedy $\beta$-expansions
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Erlang mixtures turn distributed-delay equations into ODEs
On Erlang mixture approximations for differential equations with distributed time delays
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Open dense set yields unique periodic maximizers
Joint typical periodic optimization
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Beta-expansion transfer operator fills open unit disk with point spectrum
Spectral and dynamical results related to certain non-integer base expansions on the unit interval
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Coefficients characterize injective polynomials over finite sets
Injectivity of polynomials over finite discrete dynamical systems
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Boundary actions on Bass-Serre trees yield new C*-simple groups
Boundary actions of Bass-Serre Trees and the applications to $C^*$-algebras
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Flow patterns reduced to transition graphs via topological trees
Topological flow data analysis for transient flow patterns: a graph-based approach
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Kiyohara metrics are not superintegrable
Real-analyticity of 2-dimensional superintegrable metrics and solution of two Bolsinov-Kozlov-Fomenko conjectures
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Preimage extensions over local fields depend only on v(c)
Local fields, iterated extensions, and Julia Sets
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Finitely convergent maps induce canonical transfinite orbits
Emergent transfinite topological dynamics
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Group difference map discretizes Euler-Poincaré systems on Lie groups
Euler--Poincar\'e reduction and the Kelvin--Noether theorem for discrete mechanical systems with advected parameters and additional dynamics
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Semiflow with high-rank cones settles delay oscillation conjecture
The open dense conjecture on eventually slow oscillations of the differential equation with delayed negative feedback