Dynamical chaos in two-dimensional nonlinear nonautonomous systems of ordinary differential equations

DOI10.1134/S0012266106110073zbMath1133.34028MaRDI QIDQ2459712

N. A. Magnitskiĭ, S. V. Sidorov

Publication date: 8 November 2007

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Mathieu equationFeigenbaum scenarioSharkovskii orderperiod doubling cascadeDuffing-Holmes equationCroquet equationsKrasnoshchekov equationsubharmonic cascade

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) 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) Topological dynamics of nonautonomous systems (37B55) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

Nonclassical approach to the analysis of Hamiltonian and conservative systems

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Quantitative universality for a class of nonlinear transformations
• On the nature of turbulence
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