Inariant manifolds and chaotic vibrations in singularly perturbed nonlinear oscillators

DOI10.1016/S0020-7225(97)00078-5zbMath1210.70020OpenAlexW2073198641MaRDI QIDQ531968

Martin Corless, Ioannis T. Georgiou, Anil K. Bajaj

Publication date: 21 April 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7225(97)00078-5

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (2)

Physical interpretation and theory of existence of cluster structures in lattices of dynamical systems ⋮ Exact model reduction by a slow-fast decomposition of nonlinear mechanical systems

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Applications of centre manifold theory
• Geometric singular perturbation theory for ordinary differential equations
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Non-linear phenomena in forced vibrations of a nearly square plate: Antisymmetric case
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