On a bifurcation scenario of a birth of attractor of Smale-Williams type

MaRDI QIDQ6655576

Olga B. Isaeva, Sergey P. Kuznetsov, Igor R. Sataev, Arkady Pikovsky

Publication date: 27 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

chaosbifurcationstrange attractorhyperbolic chaosself-sustained oscillator

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: numerical test for expanding and contracting cones
• A system of alternately excited coupled non-autonomous oscillators manifesting phenomena intrinsic to complex analytical maps
• Strange objects in the complex plane
• Periodic orbits as the skeleton of classical and quantum chaos
• Elements of applied bifurcation theory.
• Autonomous coupled oscillators with hyperbolic strange attractors
• Uniformly Hyperbolic Attractor of the Smale–Williams Type for a Poincaré Map in the Kuznetsov System
• Hyperbolic Chaos
• Recycling of strange sets: I. Cycle expansions
• Bifurcation structures in maps of Hénon type
• Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor
• Phase synchronization of chaotic oscillations in terms of periodic orbits
• Crises, sudden changes in chaotic attractors, and transient chaos
• Plykin-type attractor in nonautonomous coupled oscillators
• HYPERBOLIC PLYKIN ATTRACTOR CAN EXIST IN NEURON MODELS

This page was built for publication: On a bifurcation scenario of a birth of attractor of Smale-Williams type

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6655576)