INFINITE NUMBER OF PARAMETER REGIONS WITH FRACTAL NONCHAOTIC ATTRACTORS IN A PIECEWISE MAP

DOI10.1142/S0218348X21500870zbMath1489.37045OpenAlexW3116907867MaRDI QIDQ5023959

Yongxiang Zhang, Yunzhu Shen, Tao Cheng

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21500870

zbMATH Keywords

saddle-node bifurcationfractalnonsmooth systemstrange nonchaotic attractor

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (4)

STRANGE NONCHAOTIC ATTRACTORS IN A PERIODICALLY FORCED PIECEWISE LINEAR SYSTEM WITH NOISE ⋮ WADA BASINS IN AN UNCONTROLLED AND CONTROLLED VIBRATION ISOLATION SYSTEM ⋮ STRANGE NONCHAOTIC ATTRACTORS IN A QUASIPERIODICALLY FORCED ARTICULATED MOORING TOWER MODEL ⋮ TUNING OF TWO-DEGREE-OF-FREEDOM IMC BASED ON A STRANGE NONCHAOTIC OPTIMIZATION APPROACH FOR LARGE TIME-DELAY PROCESSES

Cites Work

• Unnamed Item
• Unnamed Item
• SNA's in the quasi-periodic quadratic family
• Mechanisms of strange nonchaotic attractors in a nonsmooth system with border-collision bifurcations
• Strange attractors that are not chaotic
• The birth of strange nonchaotic attractors
• Birth of strange nonchaotic attractors due to interior crisis
• Boundary crisis in quasiperiodically forced systems
• Birth of strange nonchaotic attractors through type III intermittency
• Multistability in a quasiperiodically forced piecewise smooth dynamical system
• Strange nonchaotic attractors in a nonsmooth dynamical system
• Piecewise-smooth dynamical systems. Theory and applications
• Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system
• Mechanism for boundary crises in quasiperiodically forced period-doubling systems
• Statistical properties of the universal limit map of grazing bifurcations
• The existence of strange nonchaotic attractors in the quasiperiodically forced Ricker family
• The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations
• STRANGE NONCHAOTIC ATTRACTORS FROM QUASIPERIODICALLY FORCED UEDA’S CIRCUIT
• Characterizing strange nonchaotic attractors
• Correlations and spectra of strange nonchaotic attractors
• A New Route to Strange Nonchaotic Attractors in an Interval Map
• WADA FRACTAL BASINS OF ATTRACTION IN A ZERO-STIFFNESS VIBRATION ISOLATION SYSTEM

This page was built for publication: INFINITE NUMBER OF PARAMETER REGIONS WITH FRACTAL NONCHAOTIC ATTRACTORS IN A PIECEWISE MAP