Infinite Number of Hidden Attractors in Memristor-Based Autonomous Duffing Oscillator

DOI10.1142/S021812741850013XzbMath1388.34028WikidataQ130169695 ScholiaQ130169695MaRDI QIDQ4608889

Vaibhav Varshney, K. Thamilmaran, S. Sabarathinam, Awadhesh Prasad

Publication date: 29 March 2018

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

zbMATH Keywords

basin of attractionDuffing oscillatormultistabilityhidden oscillationsLyapunov distributionperiodic line invariant

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Attractors of solutions to ordinary differential equations (34D45)

Related Items (10)

A discrete memristor model and its application in Hénon map ⋮ New topological tool for multistable dynamical systems ⋮ The Switching Function Projective Synchronization Dynamics of two Distinct Van der Pol-Duffing Oscillators with a Memristor-Duffing Oscillator ⋮ Detection and Classification of Solutions for Systems Interacting by Soft Impacts with Sample-Based Method ⋮ Input–Output Characterization of the Dynamical Properties of Circuits with a Memelement ⋮ Extreme Multistability and Complex Dynamics of a Memristor-Based Chaotic System ⋮ Infinite Number of Hidden Attractors in Memristor-Based Autonomous Duffing Oscillator ⋮ A dual memristive Wien-bridge chaotic system with variable amplitude and frequency ⋮ The amplitude, frequency and parameter space boosting in a memristor-meminductor-based circuit ⋮ Detection of Hidden Oscillations in Systems Without Equilibrium

Uses Software

• XPPAUT

Cites Work

• Unnamed Item
• Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua's circuit
• New results on synchronization control of delayed memristive neural networks
• Localization of hidden Chua's attractors
• Simple chaotic flows with a line equilibrium
• Control of multistability
• Hidden attractors in dynamical systems
• Perpetual points and hidden attractors in dynamical systems
• Transient chaos in a globally coupled system of nearly conservative Hamiltonian Duffing oscillators
• A dynamical system with a strange attractor and invariant tori
• Fractal basin boundaries
• A fractional-order chaotic system with an infinite number of equilibrium points
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• NONSMOOTH BIFURCATIONS, TRANSIENT HYPERCHAOS AND HYPERCHAOTIC BEATS IN A MEMRISTIVE MURALI–LAKSHMANAN–CHUA CIRCUIT
• Hidden Hyperchaotic Attractors in a Modified Lorenz–Stenflo System with Only One Stable Equilibrium
• Simulating, Analyzing, and Animating Dynamical Systems
• Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
• Hidden Attractors and Dynamics of a General Autonomous van der Pol–Duffing Oscillator
• Infinite Number of Hidden Attractors in Memristor-Based Autonomous Duffing Oscillator
• Co-existing hidden attractors in a radio-physical oscillator system
• Controlling Dynamics of Hidden Attractors
• An Energy-Efficient Memristive Threshold Logic Circuit
• MEMRISTOR OSCILLATORS
• Complicated basins and the phenomenon of amplitude death in coupled hidden attractors

This page was built for publication: Infinite Number of Hidden Attractors in Memristor-Based Autonomous Duffing Oscillator