A Novel Type of Chaotic Attractor for Quadratic Systems Without Equilibriums

DOI10.1142/S0218127418500013zbMath1388.34037MaRDI QIDQ4608870

Danylo Dantsev

Publication date: 29 March 2018

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

zbMATH Keywords

bifurcationschaotic attractorhidden attractorFSM-theorydynamical systems without equilibriums

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) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

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Hidden and transient chaotic attractors in the attitude system of quadrotor unmanned aerial vehicle ⋮ A Simple Method for Generating Mirror Symmetry Composite Multiscroll Chaotic Attractors ⋮ A New Class of Two-Dimensional Chaotic Maps with Closed Curve Fixed Points ⋮ Controlling Hidden Dynamics and Multistability of a Class of Two-Dimensional Maps via Linear Augmentation

Cites Work

• A novel search method of chaotic autonomous quadratic dynamical systems without equilibrium points
• Dynamical behaviors of a chaotic system with no equilibria
• Elementary quadratic chaotic flows with no equilibria
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• Understanding Non-equilibrium Thermodynamics
• Deterministic Nonperiodic Flow
• Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria
• Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations

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