BIFURCATIONS IN THE COLPITTS OSCILLATOR: FROM THEORY TO PRACTICE

DOI10.1142/S0218127403008338zbMath1099.37508OpenAlexW2023621133MaRDI QIDQ4655514

O. De Feo, G. Maggio

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127403008338

zbMATH Keywords

chaosbifurcationscontinuation methodsexperimental verificationColpitts oscillatorcoexistence of solutions

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Analytic circuit theory (94C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (11)

Novel dynamical scenario of the two-stage Colpitts oscillator ⋮ Control-based bifurcation analysis for experiments ⋮ Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors ⋮ Periodic window arising in the parameter space of an impact oscillator ⋮ Bifurcations and chaos in two-coupled periodically driven four-well Duffing-van der Pol oscillators ⋮ CONTROL-BASED CONTINUATION OF PERIODIC ORBITS WITH A TIME-DELAYED DIFFERENCE SCHEME ⋮ Unnamed Item ⋮ HARMONIC ANALYSIS OF OSCILLATORS THROUGH STANDARD NUMERICAL CONTINUATION TOOLS ⋮ Delays induced cluster synchronization in chaotic networks ⋮ Multistability and self-similarity in the parameter-space of a vibro-impact system ⋮ Phase Drift in Networks of Coupled Colpitts Oscillators

Cites Work

• What can we learn from homoclinic orbits in chaotic dynamics ?
• Bifurcation phenomena near homoclinic systems: A two-parameter analysis
• Elements of applied bifurcation theory.
• A family of Colpitts-like chaotic oscillators
• Complexity in the bifurcation structure of homoclinic loops to a saddle-focus
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
• Nonlinear analysis of the Colpitts oscillator and applications to design
• Unnamed Item

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