Chaotic Oscillation via Edge of Chaos Criteria

DOI10.1142/S021812741730035XzbMath1381.34061OpenAlexW2768706406MaRDI QIDQ4597235

Leon O. Chua, Makoto Itoh

Publication date: 12 December 2017

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

Full work available at URL: https://doi.org/10.1142/s021812741730035x

zbMATH Keywords

chaosDuffing oscillatorperiodic forcingsinkaverage powersubcritical Hopf bifurcationvan der Pol oscillatorHodgkin-Huxley modelFitzHugh-Nagumo modelMorris-Lecar modellocal activityedge of chaos criteria

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

Taxicab geometry in table of higher-order elements ⋮ Complex dynamics of a bi-directional N-type locally-active memristor ⋮ Dynamics of a Bistable Current-Controlled Locally-Active Memristor

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Memristive Model of the Barnacle Giant Muscle Fibers
• OSCILLATIONS ON THE EDGE OF CHAOS VIA DISSIPATION AND DIFFUSION
• CHAOS AND CANARDS IN THE VAN DER POL EQUATION WITH PERIODIC FORCING
• Chaos in the Hodgkin--Huxley Model
• Memristor, Hodgkin-Huxley, and Edge of Chaos
• LOCAL ACTIVITY IS THE ORIGIN OF COMPLEXITY
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