SADDLE-TYPE TORUS BRAIDS IN QUASIPERIODICALLY DRIVEN SYSTEMS: CROSSOVER MAPS OF TRANSVERSALLY INTERSECTING MANIFOLDS

DOI10.1142/S0218127408022214zbMath1165.37328MaRDI QIDQ5322559

Zachary H. Zibrat, Andrew J. Szeri

Publication date: 21 July 2009

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

zbMATH Keywords

Poincaré mapsMelnikov's theorycrossover mapstorus braids

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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NESTED INVARIANT 3-TORI EMBEDDED IN A SEA OF CHAOS IN A QUASIPERIODIC FLUID FLOW

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Topological bifurcations of attracting 2-tori of quasiperiodically driven oscillators
• A new route to chaos: Sequences of topological torus bifurcations
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

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