相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。conditions for Turing and wave instabilities in reaction-diffusion systems
Edgardo Villar-Sepulveda et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2023)
Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion
Edem Kossi Akakpo et al.
PHYSICAL REVIEW E (2023)
Quartic Kerr cavity combs: bright and dark solitons
Pedro Parra-Rivas et al.
OPTICS LETTERS (2022)
Instability mechanisms of repelling peak solutions in a multi-variable activator-inhibitor system
Edgar Knobloch et al.
CHAOS (2022)
Bistability, wave pinning and localisation in natural reaction-diffusion systems?
Alan R. Champneys et al.
PHYSICA D-NONLINEAR PHENOMENA (2021)
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods
Alan Champneys
IMA JOURNAL OF APPLIED MATHEMATICS (2021)
Introduction to 'Recent progress and open frontiers in Turing's theory of morphogenesis' Introduction
Andrew L. Krause et al.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2021)
Unified framework for localized patterns in reaction-diffusion systems; the Gray-Scott and Gierer-Meinhardt cases
Fahad Al Saadi et al.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2021)
Dissecting the snake: Transition from localized patterns to spike solutions
Nicolas Verschueren et al.
PHYSICA D-NONLINEAR PHENOMENA (2021)
Dark quadratic localized states and collapsed snaking in doubly resonant dispersive cavity-enhanced second-harmonic generation
P. Parra-Rivas et al.
PHYSICAL REVIEW A (2021)
Localized structures formed through domain wall locking in cavity-enhanced second-harmonic generation
C. Mas Arabi et al.
OPTICS LETTERS (2020)
Parametric localized patterns and breathers in dispersive quadratic cavities
P. Parra-Rivas et al.
PHYSICAL REVIEW A (2020)
Happy Catastrophe: Recent Progress in Analysis and Exploitation of Elastic Instability
Alan R. Champneys et al.
FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS (2019)
A Pedagogical Introduction to the Lifshitz Regime
Robert D. Pisarski et al.
UNIVERSE (2019)
Implications of tristability in pattern-forming ecosystems
Yuval R. Zelnik et al.
CHAOS (2018)
Spatially localized structures in the Gray-Scott model
Punit Gandhi et al.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2018)
A bifurcation analysis for the Lugiato-Lefever equation
Cyril Godey
EUROPEAN PHYSICAL JOURNAL D (2017)
A Model for Cell Polarization Without Mass Conservation
Nicolas Verschueren et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2017)
Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators
P. Parra-Rivas et al.
PHYSICAL REVIEW A (2017)
After 1952: The later development of Alan Turing's ideas on the mathematics of pattern formation
Jonathan H. P. Dawes
HISTORIA MATHEMATICA (2016)
Origin and stability of dark pulse Kerr combs in normal dispersion resonators
Pedro Parra-Rivas et al.
OPTICS LETTERS (2016)
Dark solitons in the Lugiato-Lefever equation with normal dispersion
P. Parra-Rivas et al.
PHYSICAL REVIEW A (2016)
Localized plateau beam resulting from strong nonlocal coupling in a cavity filled by metamaterials and liquid-crystal cells
M. Tlidi et al.
PHYSICAL REVIEW A (2015)
Rodlike localized structure in isotropic pattern-forming systems
Ignacio Bordeu et al.
PHYSICAL REVIEW E (2015)
Spatial Localization in Dissipative Systems
E. Knobloch
ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 6 (2015)
Quasiperiodicity route to spatiotemporal chaos in one-dimensional pattern-forming systems
Marcel G. Clerc et al.
PHYSICAL REVIEW E (2013)
Localized Turing patterns in nonlinear optical cavities
G. Kozyreff
PHYSICA D-NONLINEAR PHENOMENA (2012)
Localized States in an Extended Swift-Hohenberg Equation
John Burke et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2012)
Non-local defect interaction in one-dimension: weak versus strong non-locality
D. Escaff
EUROPEAN PHYSICAL JOURNAL D (2011)
Relative stability of multipeak localized patterns of cavity solitons
A. G. Vladimirov et al.
PHYSICAL REVIEW A (2011)
Analytical studies of fronts, colonies, and patterns: Combination of the Allee effect and nonlocal competition interactions
M. G. Clerc et al.
PHYSICAL REVIEW E (2010)
Deeply gapped vegetation patterns: On crown/root allometry, criticality and desertification
Rene Lefever et al.
JOURNAL OF THEORETICAL BIOLOGY (2009)
Exponential asymptotics of localised patterns and snaking bifurcation diagrams
S. J. Chapman et al.
PHYSICA D-NONLINEAR PHENOMENA (2009)
SNAKES, LADDERS, AND ISOLAS OF LOCALIZED PATTERNS
Margaret Beck et al.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2009)
Classification of Spatially Localized Oscillations in Periodically Forced Dissipative Systems
J. Burke et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2008)
Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems
G. Kozyreff et al.
CHAOS (2007)
Snakes and ladders: Localized states in the Swift-Hohenberg equation
John Burke et al.
PHYSICS LETTERS A (2007)
When Shil'nikov meets Hopf in excitable systems
Alan R. Champneys et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2007)
Asymptotics of large bound states of localized structures
G. Kozyreff et al.
PHYSICAL REVIEW LETTERS (2006)
Localized states in the generalized Swift-Hohenberg equation
John Burke et al.
PHYSICAL REVIEW E (2006)
Homoclinic snaking near a heteroclinic cycle in reversible systems
J Knobloch et al.
PHYSICA D-NONLINEAR PHENOMENA (2005)
Bouncing localized structures in a liquid-crystal light-valve experiment
MG Clerc et al.
PHYSICAL REVIEW E (2005)
Optical patterns with different wavelengths
G Kozyreff et al.
PHYSICAL REVIEW E (2004)
Interaction of two modulational instabilities in a semiconductor resonator
G Kozyreff et al.
PHYSICAL REVIEW E (2003)
Localized patterns and fronts in nonequilibrium systems
P Coullet
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2002)
Multi-pulse embedded solitons as bound states of quasi-solitons
K Kolossovski et al.
PHYSICA D-NONLINEAR PHENOMENA (2002)
The 1:2 mode interaction in Rayleigh-Benard convection with and without boussinesq symmetry
J Prat et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2002)
Absolute and convective instabilities of waves on unbounded and large bounded domains
B Sandstede et al.
PHYSICA D-NONLINEAR PHENOMENA (2000)
Solitary waves in nonlinear beam equations: Stability, fission and fusion
AR Champneys et al.
NONLINEAR DYNAMICS (2000)