Vol.2, No 8, 1998 pp. 595 - 604
UDC: 534:621.3.016.352.

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HOPF BIFURCATIONS AND FLUTTER INSTABILITY
OF AUTONOMOUS POTENTIAL DISSIPATIVE SYSTEMS
Anthony N. Kounadis
National Technical University of Athens, Greece
e-mail: kounadis@central.ntua.gr

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Abstract. This paper deals with perfect bifurcational discrete dissipative systems with trivial precritical states under mainly conservative compressive loading. Attention is focused on the conditions under which these symmetric autonomous, weakly damped systems can exhibit a limit cycle response due to a Hopf bifurcation or to a double zero eigenvalue or to flutter instability.

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HOPF-OVE BIFURKACIJE I NESTABILNOSTI FLATERA AUTONOMNIH POTENCIJALNIH DISIPATIVNIH SISTEMA Ovaj rad se bavi idealnim bifurkacionim diskretnim disipativnim sistemima sa trivijalnim prekritičnim stanjima pod dejstvom glavnog konzervativnog pritisnog opterećenja. Pažnja je usmerena na uslove pod kojima ti simetrični autonomni slabo prigušeni sistemi mogu ispoljiti odgovor tipa graničnog ciklusa usled Hopf-ove bifurkacije ili usled dvostruke nule sopstvene urednosti ili nestabilnosti tipa flatera.