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Every paper Pith has read. Search by title, abstract, or pith.
654 papers in nlin · page 1
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Stability landscapes learned from network topology
Learning Dynamic Stability Landscapes in Synchronization Networks
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Adjoint optimization tailors microresonator comb spectra
Adjoint inverse design of microresonator frequency combs
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Adaptive delays select frequencies in oscillator networks
Network Attractors driven by Time-Delay Plasticity
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Kuramoto-Sivashinsky equation shows z=1 scaling at intermediate scales
Inviscid scaling in the Kuramoto-Sivashinsky equation from functional renormalization group and direct numerical simulations
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Geometry tunes wave speed scaling in ring chains
Nonlinear Wave Propagation in 1D Polycatenated Ring Chains
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Dissipation produces protected and decaying scars in open Dicke model
Chaos to Synchronization and Dissipative Quantum Scarring in Open Coupled top-Dicke model in a Lossy Cavity
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Solitons cannot have mass-radius index Γ in [0
A No-Go Theorem for the Mass-Radius Relation of Solitons
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Dispersionless analysis predicts shock edges in Adlam-Allen model
On the Riemann problem for the Adlam-Allen model
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Cuspon moving boundaries solved exactly by Painlevé II reduction
Moving Boundary Problems for a Cuspon Equation and Reciprocal Associates: Exact Solution via Painleve' Symmetry Reduction
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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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Integrable observables prove Π-hierarchy equivalences
Beyond descendants: integrable observables for cohomological field theories
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Champagne bottle potential yields explicit semi-global invariant
Semi-global symplectic invariant of the champagne bottle
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Higher-utility opinions pull groups toward Gibbs-like states
A Utility-Driven Bounded-Confidence Model for Opinion Dynamics
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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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Prepotentials for type A Frobenius manifolds proven as limits
Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
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Liouvillian spectra classify chaotic open quantum systems
What We Talk About When We Talk About Dissipative Quantum Chaos
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Topology proves exact fluctuation-dissipation for nonlinear Navier-Stokes
Physical completion of the Navier-Stokes equations
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Fractional NLS makes all dark two-soliton branches unstable
Dark solitons in the fractional NLS equation
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Exact formula for time-dependent max Lyapunov exponent in networks
Exact expression for maximum Lyapunov exponent during transients in computationally powerful dynamical networks
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Polynomial Hamiltonians yield meromorphic solutions only for degrees 3,4,5,7
Modified Painlev\'e systems with meromorphic solutions for polynomial Hamiltonians of all degrees
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Hate spreading returns after initial drop in hate communities
How hate spreads online and why it returns: Re-entrant phases driven by collective behavior
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Soliton gas for NLS settles to constant elliptic wave at large negative space
Large-space and Large-time Asymptotics for the Focusing Nonlinear Schr\"{o}dinger Soliton Gas
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Distance plots estimate Hurst exponents in multivariate long-memory processes
Pairwise Distance-Diffusion Analysis (PDDA): A Geometric Framework for Estimating Hurst Exponents in Multivariate Long-Memory Processes
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Weakest quantization conditions for deformed Schrödinger equations derived
Higher-Rank Connections and Deformed Schr\"odinger Operators
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mKdV soliton gas splits into 2n+1 theta regions at large time
Large-space and large-time asymptotics for the mKdV soliton gas with any odd genus
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Photonic network learns and remembers via driven-dissipative dynamics
Reconfigurable Nonlinear Photonic Networks for In-Situ Learning and Memory Formation via Driven-Dissipative Dynamics
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Variational proof establishes stability of smooth waves in Fornberg-Whitham model
Orbital Stability of Smooth Traveling Solitary Waves to the Fornberg-Whitham Equation
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Hairy black holes reorganize spinning particle orbits into unstable regions
Spin-Hair Induced Chaos of Spinning Test Particles in Rotating Hairy Black Holes
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Small-world rewiring toggles chaos in neural circuits
Task-specific programming of chaos in neural circuits
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Asymmetric dispersal sustains predators via transient chaos
Dispersal-induced survival of predators in metacommunities due to transient chaos
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Weierstrass functions give exact solutions for all coherent couplers
Complete Weierstrass elliptic function solutions for coherent couplers and their relation to degenerate four-wave mixing
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Exact stopping time formulas derived for deterministic traffic
First-passage processes in a deterministic one-dimensional cellular automaton model of traffic flow
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Periodic orbits set quantum energy levels in chaos
Semiclassical periodic-orbit theory for quantum spectra
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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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Interactions alone produce Bloch oscillations in continuum quantum gases
Generalized Hydrodynamics of Bloch Oscillations in the Absence of a Lattice
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Classical Wronskians solve zero-momentum sine-Gordon quantum model
From classical Lax ODEs to quantum integrable theories: the moduli
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Dark soliton gas reduces genus step by step in long-time evolution
Arbitrary-genus dark soliton gases in the defocusing nonlinear Schr\"{o}dinger hydrodynamics
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Gravity creates multiple velocity plateaus in discrete waves
Bifurcation of the quasi-stationary velocity of strongly discrete transition waves driven by gravity
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Median subtraction creates fake holes in tokamak images
Comparative blobs and holes dynamics in a tokamak plasma: deep learning analysis of fast imaging data
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Recursion shows Yangian symmetry in deformed sigma models
The classical Yangian symmetry of Auxiliary Field Sigma Models
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Dipolar BEC pattern spacing scales linearly with axial confinement
Confinement-controlled pattern selection in a finite population-imbalanced dipolar Bose-Einstein condensate
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Pattern spacing scales linearly with axial confinement in dipolar condensate
Confinement-controlled pattern selection in a finite population-imbalanced dipolar Bose-Einstein condensate
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V-complexity measures function complexity with piecewise segments
The information-theoretic complexity of differentiable functions
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Darboux transformations construct tau functions for constrained CKP
The tau functions of the constrained CKP hierarchy
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APT interfaces cross over to KPZ fluctuations at long times
Universal interface fluctuations in absorbing-state phase transitions
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Alignment strength alone creates multiple active phases
Collective dynamics of active matter with orientation-weighted alignment
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Mid-scale LLMs adapt rules best in group self-governance
Scale-Dependent Collective Adaptation in Self-Amending LLM Societies: A Cross-Family Study of Emergent Governance
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Pink noise in economies traces to synchronized circulations
Pink Noise in Economic Time Series from Synchronization and Amplitude Demodulation
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Error-growth slope estimates Lyapunov exponent from scalar series
FEG-Pro: Forecast-Error Growth Profiling for Finite-Horizon Instability Analysis of Nonlinear Time Series
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Communities exhibit skewed weak and Pareto strong interactions
Skewed weak and Pareto-tailed strong interactions accompany community diversity and complexity