Chaos and strange attractors in coupled oscillators with energy-preserving nonlinearity

DOI10.1088/1751-8113/41/25/255101zbMath1161.34019OpenAlexW2047795279MaRDI QIDQ3531139

J. M. Tuwankotta, Wono Setya-Budhi, Fajar Adi-Kusumo

Publication date: 21 October 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/41/25/255101

zbMATH Keywords

chaosHopf bifurcationhomoclinic orbitcoupled oscillatorstrange attractor

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Dynamics of a mass-spring-pendulum system with vastly different frequencies ⋮ Dynamical Systems with a Codimension-One Invariant Manifold: The Unfoldings and Its Bifurcations

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