CLASSIFICATION OF BIFURCATIONS AND ROUTES TO CHAOS IN A VARIANT OF MURALI–LAKSHMANAN–CHUA CIRCUIT

DOI10.1142/S0218127402004681zbMath1044.37028OpenAlexW2146548885MaRDI QIDQ4736233

K. Thamilmaran, Muthusamy Lakshmanan

Publication date: 9 August 2004

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

Full work available at URL: https://doi.org/10.1142/s0218127402004681

zbMATH Keywords

chaosnumerical simulationperiod-doubling sequenceBifurcationsnonlinear electronic circuitsperiod-adding sequencesintermittent routesquasiperiodic routes

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) Complex behavior and chaotic systems of ordinary differential equations (34C28) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Bifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic balance method ⋮ On the Amplitude of External Perturbation and Chaos via Devil's Staircase — Stability of Attractors ⋮ STRONG CHAOS IN A FORCED NEGATIVE CONDUCTANCE SERIES LCR CIRCUIT ⋮ Chaotic dynamics with high complexity in a simplified new nonautonomous nonlinear electronic circuit ⋮ Chaos in a low dimensional fractional order nonautonomous nonlinear oscillator ⋮ Broken symmetry and dynamics of a memristive diodes bridge-based Shinriki oscillator ⋮ Discontinuity-induced intermittent synchronization transitions in coupled non-smooth systems ⋮ Unnamed Item ⋮ Duffing-van der Pol oscillator type dynamics in Murali-Lakshmanan-Chua (MLC) circuit ⋮ The hydra effect, bubbles, and chaos in a simple discrete population model with constant effort harvesting ⋮ Dynamics of SC-CNN Based Variant of MLC Circuit: An Experimental Study ⋮ The genesis of period-adding bursting without bursting-chaos in the Chay model ⋮ Dynamics, Analysis and Implementation of a Multiscroll Memristor-Based Chaotic Circuit ⋮ NONSMOOTH BIFURCATIONS, TRANSIENT HYPERCHAOS AND HYPERCHAOTIC BEATS IN A MEMRISTIVE MURALI–LAKSHMANAN–CHUA CIRCUIT ⋮ Complex Dynamics in a Memristive Diode Bridge-Based MLC Circuit: Coexisting Attractors and Double-Transient Chaos ⋮ The genesis of period-adding bursting without bursting-chaos in the Chay model

Cites Work

• Unnamed Item
• Unnamed Item
• Chaos via torus breakdown
• Folded torus in the forced Rayleigh oscillator with a diode pair
• A CMOS IC nonlinear resistor for Chua's circuit
• BIFURCATION AND CHAOS IN THE SIMPLEST DISSIPATIVE NON-AUTONOMOUS CIRCUIT
• TRANSITION FROM QUASIPERIODICITY TO CHAOS AND DEVIL'S STAIRCASE STRUCTURES OF THE DRIVEN CHUA'S CIRCUIT
• BIFURCATION AND CHAOS OF THE SINUSOIDALLY-DRIVEN CHUA'S CIRCUIT