Slow-Fast Autonomous Dynamical Systems

DOI10.1142/S0218127498001765zbMath0941.37010OpenAlexW1994949054MaRDI QIDQ4941371

Bruno Rossetto, Gilles Suchey, Thierry Lenzini, Sofiane Ramdani

Publication date: 3 April 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127498001765

zbMATH Keywords

attractorsbifurcationsslow manifoldsslow-fast autonomous dynamical systemsvan der Pol limit cycle

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (8)

An Invariant-Manifold Approach to Lumping ⋮ TWO-DIMENSIONAL DYNAMICAL SYSTEMS WITH PERIODIC COEFFICIENTS ⋮ SLOW INVARIANT MANIFOLDS AS CURVATURE OF THE FLOW OF DYNAMICAL SYSTEMS ⋮ SLOW MANIFOLDS OF SOME CHAOTIC SYSTEMS WITH APPLICATIONS TO LASER SYSTEMS ⋮ The slow invariant manifold of the Lorenz-Krishnamurthy model ⋮ DIFFERENTIAL GEOMETRY AND MECHANICS: APPLICATIONS TO CHAOTIC DYNAMICAL SYSTEMS ⋮ Slow Invariant Manifolds of Slow–Fast Dynamical Systems ⋮ Stochastic generation and shifts of phantom attractors in the 2D Rulkov model

Cites Work

• Solutions périodiques discontinues pour l'approximation singuliere d'un modèle neurophysiologique dans \(R^ 4 \)- une metaphore dans \(R^ 3 \)avec chaos
• Non-standard analysis and singular perturbations of ordinary differential equations
• CONFINORS AND BOUNDED-TIME PATTERNS IN CHUA'S CIRCUIT AND THE DOUBLE SCROLL FAMILY

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