An amplitude equation for the conserved-Hopf bifurcation-Derivation, analysis, and assessment.
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- Type
- preprint
- Published
- 2024-07-04
- Cited by
- 9
- References
- 58
- Access
- Open access
- OpenAlex
- https://openalex.org/W4400433948
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:271038829
Keywords
Hopf bifurcation, Amplitude, Bifurcation, Mathematics, Pitchfork bifurcation
References
- Mode instabilities and dynamic patterns in a colony of self-propelled surfactant particles covering a thin liquid layer
- Patterns and Interfaces in Dissipative Dynamics
- Synergetics: An Introduction
- pde2path - A Matlab package for continuation and bifurcation in 2D elliptic systems
- A Mass Conserved Reaction–Diffusion System Captures Properties of Cell Polarity
- Oscillatory pattern formation with a conserved quantity
- Coupled nonlocal complex Ginzburg-Landau equations in gasless combustion
- Transient and steady state of mass-conserved reaction-diffusion systems.
- The world of the complex Ginzburg-Landau equation
- Hopf Bifurcation in the presence of symmetry
- Stability of traveling waves for a conserved field
- Pattern formation with a conservation law
- Amplitude equations for travelling wave convection
- Introduction to bifurcation theory
- Localized states in the conserved Swift-Hohenberg equation with cubic nonlinearity.
- Selection of long-scale oscillatory convective patterns.
- Pattern formation outside of equilibrium
- Membrane Binding of MinE Allows for a Comprehensive Description of Min-Protein Pattern Formation
- Multi-components chemotactic system in the absence of conflicts
- Symmetry and Symmetry-Breaking Bifurcations in Fluid Dynamics
Cited by
- Coexistence of Uniform and Oscillatory States Resulting from Nonreciprocity and Conservation Laws.
- Local order controls the onset of oscillations in the nonreciprocal Ising model.
- The effect of self-induced Marangoni flow on polar-nematic waves in active-matter systems
- Motility-Induced Crystallization and Rotating Crystallites.
- A simple model for conserved intracellular dynamics exhibits multiscale pattern formation, traveling protein domains and arrested coarsening of lipid domains
- Multicomponent Linear Transport in the Absence of Local Equilibrium
- Emergent nonreciprocity in open thermodynamically-consistent chemical reaction networks
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