Looking More Closely at the Rabinovich–Fabrikant System

DOI10.1142/S0218127416500383zbMath1334.34033arXiv1509.09206WikidataQ58797280 ScholiaQ58797280MaRDI QIDQ2800730

Marius-F. Danca, Guan-Rong Chen, Nikolay V. Kuznetsov, Michal Fečkan

Publication date: 18 April 2016

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

Full work available at URL: https://arxiv.org/abs/1509.09206

zbMATH Keywords

heteroclinic orbittransient chaosRabinovich-Fabrikant systemcycling chaosLIL numerical method

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (12)

A New System with a Self-Excited Fully-Quadratic Strange Attractor and Its Twin Strange Repeller ⋮ Dynamics of the Zeraoulia–Sprott Map Revisited ⋮ On novel conditions of chaotic attractors existence in autonomous polynomial dynamical systems ⋮ Approximating hidden chaotic attractors via parameter switching ⋮ Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents ⋮ Coexisting attractors and circuit implementation of a new 4D chaotic system with two equilibria ⋮ Four-Wing Hidden Attractors with One Stable Equilibrium Point ⋮ Various Types of Coexisting Attractors in a New 4D Autonomous Chaotic System ⋮ Graphical Structure of Attraction Basins of Hidden Chaotic Attractors: The Rabinovich–Fabrikant System ⋮ Parameter switching synchronization ⋮ Hidden attractors in dynamical systems ⋮ On the periodic structure of the Rabinovitch-Fabrikant system

Cites Work

• A new auto-switched chaotic system and its FPGA implementation
• Solving hyperchaotic systems using the spectral relaxation method
• Multiple DNN identifier for uncertain nonlinear systems based on Takagi-Sugeno inference
• Dissipative chaos, Shilnikov chaos and bursting oscillations in a three-dimensional autonomous system: theory and electronic implementation
• DESIGN AND REALIZATION OF MULTI-WING CHAOTIC ATTRACTORS VIA SWITCHING CONTROL
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
• A multistep algorithm for ODEs
• ON A DYNAMICAL SYSTEM WITH MULTIPLE CHAOTIC ATTRACTORS
• CONTINUATION OF CONNECTING ORBITS IN 3D-ODEs (I): POINT-TO-CYCLE CONNECTIONS
• CYCLING CHAOS
• CHEN'S ATTRACTOR EXISTS
• BIFURCATION AND CHAOS IN A COMPLEX MODEL OF DISSIPATIVE MEDIUM
• SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM

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