A describing-function based criterion for a route to chaos in autonomous nonlinear systems

DOI10.1080/00207179508921899zbMath0821.34060OpenAlexW2028949154MaRDI QIDQ4698751

L. J. Heyns, Jens J. Krüger

Publication date: 3 October 1995

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179508921899

zbMATH Keywords

strange attractorsroute to chaosnonlinear control theoryautonomous nonlinear systemslimit cycle stabilityanalytic describing-function based methodharmonic linearization techniques

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45)

Related Items (1)

On the computation of characteristic multipliers for predicting limit cycle bifurcations

Cites Work

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• Regular and stochastic motion
• Quantitative universality for a class of nonlinear transformations
• Self-similar bifurcation structures from chua's circuit
• The double scroll family
• Chaos via torus breakdown

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