Third-Order Memristive Morris–Lecar Model of Barnacle Muscle Fiber

DOI10.1142/S0218127417300154zbMath1366.34068MaRDI QIDQ5275053

Leon O. Chua, Maheshwar Pd. Sah, Hyongsuk Kim, Vetriveeran Rajamani, Zubaer Ibna Mannan

Publication date: 10 July 2017

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

zbMATH Keywords

limit cycle oscillationbasin of attractionsubcritical Hopf bifurcationHodgkin-Huxley modelaction potentialedge of chaosMorris-Lecar modellocal activitycalcium and potassium ion-channel memristorgiant barnacle muscle fibersmall unstable limit cycle oscillationssmall-signal circuit model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Synchronization in networks of initially independent dynamical systems ⋮ Neuromorphic Behaviors of the 4-Lobe Chua Corsage Memristor ⋮ Dynamic Analysis of a Bistable Bi-Local Active Memristor and Its Associated Oscillator System ⋮ A Phasor Analysis Method for Charge-Controlled Memory Elements ⋮ Neuromorphic dynamics near the edge of chaos in memristive neurons

Cites Work

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• Mathematical foundations of neuroscience
• Computational cell biology
• Memristive Model of the Barnacle Giant Muscle Fibers
• Chua Corsage Memristor Oscillator via Hopf Bifurcation
• Design of a Low-Frequency Oscillator with PTC Memristor and an Inductor
• HODGKIN–HUXLEY AXON IS MADE OF MEMRISTORS
• Oscillator Made of Only One Memristor and One Battery
• LOCAL ACTIVITY IS THE ORIGIN OF COMPLEXITY

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