Topological degree in analysis of canard-type trajectories in 3-D systems

DOI10.1080/00036811.2010.511193zbMath1236.34084arXiv1004.3867OpenAlexW2051979515WikidataQ58251460 ScholiaQ58251460MaRDI QIDQ5199473

A. A. Zhezherun, Vladimir Sobolev, Dmitrii I. Rachinskii, Alexei V. Pokrovskii

Publication date: 16 August 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3867

zbMATH Keywords

topological degreepiecewise linear functionperiodic canard solutionsnonsmooth slow-fast systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)

Related Items (3)

Dimension reduction for slow-fast, piecewise-linear ODEs and obstacles to a general theory ⋮ Slow-fast \(n\)-dimensional piecewise linear differential systems ⋮ Black swans and canards in two predator – one prey model

Cites Work

• Topological method for analysis of periodic Canards
• Chaos via duck solution breakdown in a piecewise linear van der Pol oscillator driven by an extremely small periodic perturbation
• Nagumo's equation
• Topological degree in analysis of chaotic behavior in singularly perturbed systems
• Piecewise-Linear Theory of Nonlinear Networks

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