NONLINEAR DYNAMICS OF DIGITAL PHASE-LOCKED LOOPS WITH DELAY

DOI10.1142/S0218127494000514zbMath0873.34029OpenAlexW2020554066MaRDI QIDQ4342304

Maria de Sousa Vieira, M. A. Lieberman, Allan J. Lichtenberg

Publication date: 20 August 1997

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127494000514

zbMATH Keywords

delaynonlinear dynamicsLyapunov exponentsbifurcation diagramsperiodic, quasiperiodic and chaotic behaviorself-synchronizing pulse-coupled nonlinear oscillators

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

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BIFURCATION, CHAOS AND THEIR CONTROL IN A TIME-DELAY DIGITAL TANLOCK LOOP

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