Multi-mode attractors and spatio-temporal canards

DOI10.1016/j.physd.2020.132544zbMath1492.35382OpenAlexW3028021273MaRDI QIDQ2127369

Theodore Vo, Tasso J. Kaper, Richard Bertram

Publication date: 20 April 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132544

zbMATH Keywords

burstingreaction-diffusionmixed-mode oscillationmulti-mode attractorpituitary lactotrophspatio-temporal canard

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Biophysics (92C05) Cell biology (92C37)

Related Items (2)

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Cites Work

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• From canards of folded singularities to torus canards in a forced van der Pol equation
• Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model
• Canard solutions and travelling waves in the spruce budworm population model
• Canards and bifurcation delays of spatially homogeneous and inhomogeneous types in reaction-diffusion equations
• Geometric singular perturbation theory for ordinary differential equations
• The dynamics underlying pseudo-plateau bursting in a pituitary cell model
• Viscous profiles of traveling waves in scalar balance laws: the canard case
• Mixed mode oscillations as a mechanism for pseudo-plateau bursting
• Existence of Traveling Wave Solutions for a Model of Tumor Invasion
• Mixed-Mode Oscillations with Multiple Time Scales
• Novel solutions for a model of wound healing angiogenesis
• Numerical continuation of canard orbits in slow–fast dynamical systems
• Folds, canards and shocks in advection–reaction–diffusion models
• The Geometry of Slow Manifolds near a Folded Node
• New type of travelling wave solutions
• Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system
• Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Low dimensional behavior of large systems of globally coupled oscillators
• Transonic canards and stellar wind
• Balanced Splitting and Rebalanced Splitting
• A-Type K⁺ Current Can Act as a Trigger for Bursting in the Absence of a Slow Variable
• Canards in \(\mathbb{R}^3\)

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