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Higher-codimension points as organizing centers in nonreciprocal pattern-forming systems with O(2) symmetry

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Versal deformations of a singular point of a vector field on the plane in the case of zero eigenvalues
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Singularities of vector fields
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Mathematical Modelling of Bacterial Quorum Sensing: A Review
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A classification of degenerate Hopf bifurcations with O(2) symmetry
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Symmetries and pattern selection in Rayleigh-Bénard convection
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Non-reciprocity across scales in active mixtures
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Robust and resource-optimal dynamic pattern formation of Min proteins in vivo
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Non-reciprocal phase transitions
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Synchronization and exceptional points in nonreciprocal active polar mixtures
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Drift instabilities of cellular patterns
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Pattern formation arising from interactions between Turing and wave instabilities
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Complex patterns in reaction-diffusion systems: A tale of two front instabilities
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Spatio-temporal dynamics induced by competing instabilities in two asymmetrically coupled nonlinear evolution equations
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Local control of globally competing patterns in coupled Swift–Hohenberg equations
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An amplitude equation for the conserved-Hopf bifurcation—Derivation, analysis, and assessment
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Nonreciprocity as a generic route to traveling states
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Non-Hermitian physics
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Chaos in the Takens–Bogdanov bifurcation withO(2) symmetry
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The gluing bifurcation: I. Symbolic dynamics of closed curves
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Parity-breaking bifurcation in inhomogeneous systems
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Clustering and flocking of repulsive chiral active particles with non-reciprocal couplings
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Localized states in passive and active phase-field-crystal models
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Localized states in coupled Cahn–Hilliard equations
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The Takens-Bogdanov bifurcation with O(2)-symmetry
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Minimal model of binary fluid convection
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Hydrodynamic and interfacial patterns with broken space-time symmetry
inferredcites →https://doi.org/10.1103/physreva.54.4581openalex-snapshot
Swift-Hohenberg equation for optical parametric oscillators
inferredcites →https://doi.org/10.1103/physreve.103.042602openalex-snapshot
Suppression of coarsening and emergence of oscillatory behavior in a Cahn-Hilliard model with nonvariational coupling
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Stationary broken parity states in active matter models
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Entropy production in the nonreciprocal Cahn-Hilliard model
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Pattern dynamics of the nonreciprocal Swift-Hohenberg model
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Dynamical phase transitions in the nonreciprocal Ising model
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Universal criterion and amplitude equation for a nonequilibrium Ising-Bloch transition
inferredcites →https://doi.org/10.1103/physreve.80.046221openalex-snapshot
Faceting and coarsening dynamics in the complex Swift-Hohenberg equation
inferredcites →https://doi.org/10.1103/physreve.84.056203openalex-snapshot
Traveling waves and defects in the complex Swift-Hohenberg equation
inferredcites →https://doi.org/10.1103/physreve.87.042915openalex-snapshot
Localized states in the conserved Swift-Hohenberg equation with cubic nonlinearity
inferredcites →https://doi.org/10.1103/physrevlett.131.107201openalex-snapshot
Nonreciprocal Cahn-Hilliard Model Emerges as a Universal Amplitude Equation
inferredcites →https://doi.org/10.1103/physrevlett.131.148301openalex-snapshot
Dynamical Pattern Formation without Self-Attraction in Quorum-Sensing Active Matter: The Interplay between Nonreciprocity and Motility
inferredcites →https://doi.org/10.1103/physrevlett.131.258302openalex-snapshot
Irreversible Mesoscale Fluctuations Herald the Emergence of Dynamical Phases
inferredcites →https://doi.org/10.1103/physrevlett.132.127401openalex-snapshot
Phase Transition to Chaos in Complex Ecosystems with Nonreciprocal Species-Resource Interactions
inferredcites →https://doi.org/10.1103/physrevlett.133.258303openalex-snapshot
Nonreciprocal Alignment Induces Asymmetric Clustering in Active Mixtures
inferredcites →https://doi.org/10.1103/physrevlett.134.018303openalex-snapshot
Coexistence of Uniform and Oscillatory States Resulting from Nonreciprocity and Conservation Laws
inferredcites →https://doi.org/10.1103/physrevlett.134.117103openalex-snapshot
Nonreciprocal Ising Model
inferredcites →https://doi.org/10.1103/physrevlett.65.1352openalex-snapshot
Breaking chirality in nonequilibrium systems
inferredcites →https://doi.org/10.1103/physrevlett.73.3165openalex-snapshot
Bifurcation to Traveling Spots in Reaction-Diffusion Systems
inferredcites →https://doi.org/10.1103/physrevlett.74.4839openalex-snapshot
Parity Breaking Bifurcation in Inhomogeneous Systems
inferredcites →https://doi.org/10.1103/physrevlett.75.3273openalex-snapshot
Domain Walls in Wave Patterns
inferredcites →https://doi.org/10.1103/physrevx.10.041009openalex-snapshot
Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model
inferredcites →https://doi.org/10.1103/physrevx.14.021014openalex-snapshot
Nonreciprocal Pattern Formation of Conserved Fields
inferredcites →https://doi.org/10.1103/physrevx.5.011035openalex-snapshot
Statistical Mechanics where Newton’s Third Law is Broken
inferredcites →https://doi.org/10.1103/revmodphys.65.851openalex-snapshot
Pattern formation outside of equilibrium
inferredcites →https://doi.org/10.1126/sciadv.abq5561openalex-snapshot
Growth of self-integrated atomic quantum wires and junctions of a Mott semiconductor
inferredcites →https://doi.org/10.1126/science.aar7709openalex-snapshot
Exceptional points in optics and photonics
inferredcites →https://doi.org/10.1142/s0218127405014209openalex-snapshot
PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS
inferredcites →https://doi.org/10.1142/s0218127493000945openalex-snapshot
BIFURCATION ANALYSIS OF DOUBLE TAKENS–BOGDANOV POINTS OF NONLINEAR EQUATIONS WITH A Z2-SYMMETRY
inferredcites →https://doi.org/10.1143/ptp.83.824openalex-snapshot
A Model for Defect Chaos in Electrohydrodynamic Convection of Nematic Liquid Crystals
inferredcites →https://doi.org/10.1143/ptp.99.33openalex-snapshot
Pattern Formation in a System with Spontaneously-Broken Rotational Symmetry
inferredcites →https://doi.org/10.1209/epl/i2003-00532-1openalex-snapshot
Rotational bifurcation of localized dissipative structures
inferredcites →https://doi.org/10.13001/ela.2025.8191openalex-snapshot
Versal deformations: a tool of linear algebra
inferredcites →https://doi.org/10.1371/journal.pcbi.1002756openalex-snapshot
Coordinated Optimization of Visual Cortical Maps (II) Numerical Studies
inferredcites →https://doi.org/10.21468/scipostphys.20.1.005openalex-snapshot
Dynamic models for two nonreciprocally coupled fields: A microscopic derivation for zero, one, and two conservation laws
inferredcites →https://doi.org/10.2991/jnmp.2004.11.3.8openalex-snapshot
Normal Forms for Coupled Takens-Bogdanov Systems
inferredcites →https://doi.org/10.4208/cicp.oa-2017-0181openalex-snapshot
Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications
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pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
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DifferentialEquations.jl – A Performant and Feature-Rich Ecosystem for Solving Differential Equations in Julia
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Non-reciprocal Phase Separations with Non-conserved Order Parameters

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